Claims:

1. A method for multiphase modelling in Computational Fluid Dynamics (CFD), the method comprising a processor implemented steps of:
extracting, by one or more hardware processors, a solution space of a first simulation domain comprising an interface of a liquid and a gas, wherein the solution space is extracted by implementing a Volume of Fluid (VoF) technique on the first simulation domain, and wherein the first simulation domain comprises the liquid and the gas (201);
obtaining, from the extracted solution space, a real surface information of the first simulation domain by implementing one or more CFD simulation and analysis techniques on the extracted solution space (202);
modifying, using the real surface information, geometry of the first simulation domain by implementing a domain-splitting technique on the real surface information (203);
extracting, from the modified geometry, a second simulation domain comprising solid particles dispersed in the first simulation domain, wherein the second simulation domain is extracted by simulating the modified geometry via an Eulerian multiphase flow modelling technique (204); and
obtaining, by simulating the second simulation domain, a multiphase modelling solution comprising a set of simulated values corresponding to each coordinate of the second simulation domain (205).

2. The method as claimed in claim 1, wherein the domain-splitting technique facilitates identifying, using the modified geometry, a primary phase and a secondary phase of the second simulation domain, for obtaining the multiphase modelling solution.

3. The method as claimed in claim 2, wherein the primary phase and the secondary phase denotes a separation of the liquid and the solid particles in the second simulation domain, and wherein the separation facilitates obtaining the multiphase modelling solution.

4. The method as claimed in claim 1, wherein the step of obtaining the multiphase modelling solution is preceded by obtaining, based upon the solution space, a distribution of the solid particles in the second simulation domain.

5. The method as claimed in claim 1, wherein the step of obtaining the multiphase modelling solution comprises identifying, based upon the solution space, a distribution of an immiscible liquid in the second simulation domain.

6. The method as claimed in claim 1, wherein the multiphase modelling solution facilitates an identification of a set of distribution values corresponding to another simulation domain for modelling a free surface flow.

7. A system (100) for multiphase modelling in Computational Fluid Dynamics (CFD), the system (100) comprising:
a memory (102) storing instructions;
one or more communication interfaces (106); and
one or more hardware processors (104) coupled to the memory (102) via the one or more communication interfaces (106), wherein the one or more hardware processors (104) are configured by the instructions to:
extract a solution space of a first simulation domain comprising an interface of a liquid and a gas, wherein the solution space is extracted by implementing a Volume of Fluid (VoF) technique on the first simulation domain, and wherein the first simulation domain comprises the liquid and the gas;
obtain, from the extracted solution space, a real surface information of the first simulation domain by implementing one or more CFD simulation and analysis techniques on the extracted solution space;
modify, using the real surface information, geometry of the first simulation domain by implementing a domain-splitting technique on the real surface information;
extract, from the modified geometry, a second simulation domain comprising solid particles dispersed in the first simulation domain, wherein the second simulation domain is extracted by simulating the modified geometry via an Eulerian multiphase flow modelling technique; and
obtain, by simulating the second simulation domain, a multiphase modelling solution comprising a set of simulated values corresponding to each coordinate of the second simulation domain.

8. The system (100) as claimed in claim 7, wherein the one or more hardware processors (104) are configured to implement the domain-splitting technique for identifying, using the modified geometry, a primary phase and a secondary phase of the second simulation domain, for obtaining the multiphase modelling solution.

9. The system (100) as claimed in claim 8, wherein the primary phase and the secondary phase denotes a separation of the liquid and the solid particles in the second simulation domain, and wherein the separation facilitates obtaining the multiphase modelling solution.

10. The system (100) as claimed in claim 7, wherein the one or more hardware processors (104) are configured to obtain the multiphase modelling solution by obtaining, based upon the solution space, a distribution of the solid particles in the second simulation domain.

11. The system (100) as claimed in claim 7, wherein the one or more hardware processors (104) are configured to identify, based upon the solution space, a distribution of an immiscible liquid in the second simulation domain.

12. The system (100) as claimed in claim 7, wherein the multiphase modelling solution facilitates an identification of a set of distribution values corresponding to another simulation domain for modelling a free surface flow.
, Description:FORM 2

THE PATENTS ACT, 1970
(39 of 1970)
&
THE PATENT RULES, 2003

COMPLETE SPECIFICATION
(See Section 10 and Rule 13)

Title of invention:

SYSTEMS AND METHODS FOR MULTIPHASE MODELLING IN COMPUTATIONAL FLUID DYNAMICS (CFD)

Applicant

Tata Consultancy Services Limited
A company Incorporated in India under the Companies Act, 1956
Having address:
Nirmal Building, 9th floor,
Nariman point, Mumbai 400021,
Maharashtra, India

The following specification particularly describes the invention and the manner in which it is to be performed.


TECHNICAL FIELD
[001] The disclosure herein generally relates to multiphase modelling in computational fluid dynamics (CFD), and, more particularly, to systems and methods for multiphase modelling in (CFD).

BACKGROUND
[002] Computational Fluid Dynamics (CFD) is the study of dynamic fluid flow using computers. The primary computational challenges to CFD are how to discretize a continuous fluid in an accurate, fast and cost-effective manner. CFD simulations involve the basic steps of: pre-processing, solving, and post-processing. In the pre-processing step, a flow model is created. This involves using methodologies (for example, Computer-Aideed Design (CAD)) packages for determining a suitable computational mesh and establishing boundary conditions as well as fluid properties. Processing of the flow calculations takes place during the solving step, where governing equations are applied. In the post-processing step, the results of the calculations are analyzed and organized into meaningful formats. For example, the results may be sent to a graphical processing unit (GPU) and/or visualization system for graphical display of flows.
[003] CFD may be used for solving a variety of governing equations including, but not limited to: Euler and Navier-Stokes equations, which are selected depending upon the given fluid conditions and properties. For example, the Euler equations are usually applied to inviscid and compressible fluid flows, whereas the Navier-Stokes equations are used to describe the motion of viscous, incompressible, heat conducting fluids. Variables to be solved for in the Navier-Stokes equations include, for example, the velocity components, the fluid density, static pressure, and temperature. Because the flow in these equations may be assumed to be differentiable and continuous, the balances of mass, momentum and energy are usually expressed in terms of partial differential equations.

SUMMARY
[004] Embodiments of the present disclosure present technological improvements as solutions to one or more of the above-mentioned technical problems recognized by the inventors in conventional systems. For example, in one embodiment, a method for multiphase modelling in Computational Fluid Dynamics (CFD), the method comprising: extracting, by one or more hardware processors, a solution space of a first simulation domain comprising an interface of a liquid and a gas, wherein the solution space is extracted by implementing a Volume of Fluid (VoF) technique on the first simulation domain, and wherein the first simulation domain comprises the liquid and the gas; obtaining, from the extracted solution space, a real surface information of the first simulation domain by implementing one or more CFD simulation and analysis techniques on the extracted solution space; modifying, using the real surface information, geometry of the first simulation domain by implementing a domain-splitting technique on the real surface information; extracting, from the modified geometry, a second simulation domain comprising solid particles dispersed in the first simulation domain, wherein the second simulation domain is extracted by simulating the modified geometry via an Eulerian multiphase flow modelling technique; obtaining, by simulating the second simulation domain, a multiphase modelling solution comprising a set of simulated values corresponding to each coordinate of the second simulation domain; identifying, using the modified geometry, a primary phase and a secondary phase of the second simulation domain, for obtaining the multiphase modelling solution; obtaining, based upon the solution space, a distribution of the solid particles in the second simulation domain; identifying, based upon the solution space, a distribution of an immiscible liquid in the second simulation domain; and identifying a set of distribution values corresponding to another simulation domain for modelling a free surface flow.
[005] In another aspect, there is provided a system for multiphase modelling in Computational Fluid Dynamics (CFD), the system comprising a memory storing instructions; one or more communication interfaces; and one or more hardware processors coupled to the memory via the one or more communication interfaces, wherein the one or more hardware processors are configured by the instructions to: extract a solution space of a first simulation domain comprising an interface of a liquid and a gas, wherein the solution space is extracted by implementing a Volume of Fluid (VoF) technique on the first simulation domain, and wherein the first simulation domain comprises the liquid and the gas; obtain, from the extracted solution space, a real surface information of the first simulation domain by implementing one or more CFD simulation and analysis techniques on the extracted solution space; modify, using the real surface information, geometry of the first simulation domain by implementing a domain-splitting technique on the real surface information; extract, from the modified geometry, a second simulation domain comprising solid particles dispersed in the first simulation domain, wherein the second simulation domain is extracted by simulating the modified geometry via an Eulerian multiphase flow modelling technique; obtain, by simulating the second simulation domain, a multiphase modelling solution comprising a set of simulated values corresponding to each coordinate of the second simulation domain; implement the domain-splitting technique for identifying, using the modified geometry, a primary phase and a secondary phase of the second simulation domain, for obtaining the multiphase modelling solution; obtain the multiphase modelling solution by obtaining, based upon the solution space, a distribution of the solid particles in the second simulation domain; identify, based upon the solution space, a distribution of an immiscible liquid in the second simulation domain; and a set of distribution values corresponding to another simulation domain for modelling a free surface flow.
[006] In yet another aspect, there is provided one or more non-transitory machine readable information storage mediums comprising one or more instructions which when executed by one or more hardware processors causes the one or more hardware processors to perform a method for multiphase modelling in Computational Fluid Dynamics (CFD), the method comprising: extracting a solution space of a first simulation domain comprising an interface of a liquid and a gas, wherein the solution space is extracted by implementing a Volume of Fluid (VoF) technique on the first simulation domain, and wherein the first simulation domain comprises the liquid and the gas; obtaining, from the extracted solution space, a real surface information of the first simulation domain by implementing one or more CFD simulation and analysis techniques on the extracted solution space; modifying, using the real surface information, geometry of the first simulation domain by implementing a domain-splitting technique on the real surface information; extracting, from the modified geometry, a second simulation domain comprising solid particles dispersed in the first simulation domain, wherein the second simulation domain is extracted by simulating the modified geometry via an Eulerian multiphase flow modelling technique; obtaining, by simulating the second simulation domain, a multiphase modelling solution comprising a set of simulated values corresponding to each coordinate of the second simulation domain; identifying, using the modified geometry, a primary phase and a secondary phase of the second simulation domain, for obtaining the multiphase modelling solution; obtaining, based upon the solution space, a distribution of the solid particles in the second simulation domain; identifying, based upon the solution space, a distribution of an immiscible liquid in the second simulation domain; and identifying a set of distribution values corresponding to another simulation domain for modelling a free surface flow.
[007] It is to be understood that both the foregoing general description and the following detailed description are exemplary and explanatory only and are not restrictive of the invention, as claimed.

BRIEF DESCRIPTION OF THE DRAWINGS
[008] The accompanying drawings, which are incorporated in and constitute a part of this disclosure, illustrate exemplary embodiments and, together with the description, serve to explain the disclosed principles.
[009] FIG. 1 illustrates an exemplary title system for multiphase modelling in Computational Fluid Dynamics (CFD), in accordance with some embodiments of the present disclosure.
[010] FIG. 2 is a flow diagram illustrating a method for multiphase modelling in the CFD, in accordance with some embodiments of the present disclosure.
[011] FIG. 3 illustrates an example of a first simulation domain comprising of a liquid and a gas, in accordance with some embodiments of the present disclosure.
[012] FIG. 4 illustrates a solution space extracted by implementing a Volume of Fluid (VoF) technique on the first simulation domain, and a real surface information obtained using the extracted solution space, in accordance with some embodiments of the present disclosure.
[013] FIG. 5 illustrates the process of performing a geometry modification of the first simulation domain, in accordance with some embodiments of the present disclosure.
[014] FIG. 6 illustrates a modified geometry or a domain split performed using the real surface information, in accordance with some embodiments of the present disclosure.
[015] FIG. 7 illustrates the modified geometry obtained from a domain-splitting technique, in accordance with some embodiments of the present disclosure.
[016] FIG. 8 illustrates an example of a second simulation extracted (comprising distributed solid particles), an example of a distribution of an immiscible liquid in a second simulation domain, and an example of obtained set of simulated values corresponding to each coordinate of the second simulation domain, in accordance with some embodiments of the present disclosure.
[017] FIG. 9A through 9B illustrates graphically a set of distribution values corresponding to another simulation domain for modelling a free surface flow, in accordance with some embodiments of the present disclosure.

DETAILED DESCRIPTION OF EMBODIMENTS
[018] Exemplary embodiments are described with reference to the accompanying drawings. In the figures, the left-most digit(s) of a reference number identifies the figure in which the reference number first appears. Wherever convenient, the same reference numbers are used throughout the drawings to refer to the same or like parts. While examples and features of disclosed principles are described herein, modifications, adaptations, and other implementations are possible without departing from the spirit and scope of the disclosed embodiments. It is intended that the following detailed description be considered as exemplary only, with the true scope and spirit being indicated by the following claims.
[019] Embodiments of the present disclosure provide systems and methods for multiphase modelling in Computational Fluid Dynamics (CFD). In multiphase flow, a phase may be defined as an identifiable class of material that has a particular inertial response to and interaction with the flow and the potential field in which it is immersed. For example, different-sized solid particles of the same material can be treated as different phases because each collection of particles with the same size comprise a similar dynamical response to the flow field. Advances in computational fluid mechanics have provided the basis for further insight into the dynamics of multiphase flows. Currently there are two approaches for the numerical calculation of multiphase flows: the Euler-Lagrange approach and the Euler-Euler approach.
[020] In the recent years, Computational Fluid Dynamics (CFD) has become a useful tool for analyzing multiphase flows in various industrial applications. In particular, CFD provides the capability to reduce a number of required experiments for describing the flow pattern inside complex geometries such as structured packings; as a result, it reduces the cost of design for the required equipment. CFD modelling is used to research the complex flow structures that exist in a hydrocyclone. By simulation of a two phase (water and air) flow system, the internal flow and multiphase interactions are investigated.
[021] The traditional techniques, for example, Eulear-Eulear approach suffers from various technical limitations. For example, in Eulear-Eulear approach, main vortex, that is an interface between a gas and liquid phases is not captured in the modelling. And the effects of air on the liquid is totally neglected. Partially filled tank is modelled as a completely filled tank. Similarly, Volume of Fluid (VoF)- Lagrangian appraoch is suggested to use when the solids contents distributed is less than 10 volume percentage. However, as the solids contents are increased, the coupling between the influence of solids on liquid and liquid on solids increase.
[022] The proposed methodology overcomes the limitations of the traditional systems and methods. For example, the proposed disclosure provides for modifying existing geometry of a domain so that the modified geometry can be used for model multiphase modelling frameworks.
[023] Referring now to the drawings, and more particularly to FIG. 1 through 9B, where similar reference characters denote corresponding features consistently throughout the figures, there are shown preferred embodiments and these embodiments are described in the context of the following exemplary system and/or method.
[024] FIG. 1 illustrates an exemplary block diagram of a system 100 for multiphase modelling in Computational Fluid Dynamics (CFD), in accordance with an embodiment of the present disclosure. In an embodiment, the system 100 includes one or more processors 104, communication interface device(s) or input/output (I/O) interface(s) 106, and one or more data storage devices or memory 102 operatively coupled to the one or more processors 104. The one or more processors 104 that are hardware processors can be implemented as one or more microprocessors, microcomputers, microcontrollers, digital signal processors, central processing units, state machines, logic circuitries, and/or any devices that manipulate signals based on operational instructions. Among other capabilities, the processor(s) is configured to fetch and execute computer-readable instructions stored in the memory 102. In an embodiment, the system 100 can be implemented in a variety of computing systems, such as laptop computers, notebooks, hand-held devices, workstations, mainframe computers, servers, a network cloud and the like.
[025] The I/O interface device(s) 106 can include a variety of software and hardware interfaces, for example, a web interface, a graphical user interface, and the like and can facilitate multiple communications within a wide variety of networks N/W and protocol types, including wired networks, for example, LAN, cable, etc., and wireless networks, such as WLAN, cellular, or satellite. In an embodiment, the I/O interface device(s) can include one or more ports for connecting a number of devices to one another or to another server. The system 100, through the I/O interface 106 may be coupled to external data sources.
[026] The memory 102 may include any computer-readable medium known in the art including, for example, volatile memory, such as static random access memory (SRAM) and dynamic random access memory (DRAM), and/or non-volatile memory, such as read only memory (ROM), erasable programmable ROM, flash memories, hard disks, optical disks, and magnetic tapes.
[027] FIG. 2, with reference to FIG. 1, illustrates an exemplary flow diagram of a method for multiphase modelling in CFD, in accordance with some embodiments of the present disclosure. In an embodiment the system 100 comprises one or more data storage devices of the memory 102 operatively coupled to the one or more hardware processors 104 and is configured to store instructions for execution of steps of the method by the one or more processors 104. The steps of the method of the present disclosure will now be explained with reference to the components of the system 100 as depicted in FIG. 1 and the flow diagram. In the embodiments of the present disclosure, the hardware processors 104 when configured the instructions performs one or more methodologies described herein.
[028] According to an embodiment of the present disclosure, at step 201, the one or more hardware processors 104 are configured to extract a solution space of a first simulation domain, wherein the solution space comprises an interface of a liquid and a gas. Referring to FIG. 3, an example of the first simulation domain may be referred. Referring to FIG. 3 again, it may be noted that the first simulation domain comprises a liquid and a gas.
[029] In an embodiment, initially, a Volume of Fluid (VoF) technique is implemented on the first simulation domain to extract the solution space. As is known in the art, the VoF method or technique is used as a basis for the fluid advection. The method solves the incompressible Navier-Stokes equations with a free-surface condition on the free boundary. In the VoF method, a VoF function F (with values between 0 and 1) is used, indicating which part of the cell is filled with fluid. The VoF method reconstructs the free surface in each computational cell. This makes it suitable for the prediction of all phases of the local free surface problem.
[030] During simulation, effective properties (for example, effective viscosity and effective density) may be modelled to capture the effect of solids in the first simulation domain. Upon filling the liquid domain (wherein, the liquid domain is the area of liquid in the first simulation domain), that is, adding a slurry to the liquid, and by implementing the VoF technique, the solution space is extracted. The solution space has the interface of the liquid and the gas. Referring to FIG. 4, the extracted solution space may be referred. Referring to FIG. 4 again, it may be noted that the gas-liquid interface has a vortex shape. The proposed disclosure thus overcome a limitation of the traditional systems and methods by facilitating capturing of vortex, as none of the traditional systems and methods (for example, Eulerian-Eulerian method) provide for capturing of the vortex during modelling.
[031] According to an embodiment of the present disclosure, at step 202, the one or more hardware processors 104 are configured to obtain, from the extracted solution space, a real surface information of the first simulation domain. The one or more hardware processors 104 implement one or more CFD simulation and analysis techniques on the extracted solution space to obtain the extracted solution space.
[032] In an embodiment, the real surface information may be obtained, for example, by converting the extracted solution space into a Tecplot™ *plt binary format. The one or more CFD simulation and analysis techniques or Tecplot™ facilitates analyzing of complex data from the first simulation domain. In an example implementation, referring to FIG. 4 yet again, an example of the real surface information of the first simulation domain may be referred.
[033] According to an embodiment of the present disclosure, at step 203, the one or more hardware processors 104 are configured to modify, using the real surface information, geometry of the first simulation domain by implementing a domain-splitting technique on the real surface information. In an embodiment, the existing design, that is, geometry of the first simulation domain is split using the real surface information for modifying the geometry via an ANSYS ICEM CFD™ tool (not shown in the figure). As is known in the art, the ANSYS ICEM CFD™ includes a wide range of tools for creating new and/or manipulating existing geometry. The ANSYS ICEM CFD™ thus allows a user to alter complex geometry or create simple geometry without having to go back to the original CAD. By referring to FIG. 5, the process of performing the geometry modification of the first simulation domain may be referred.
[034] In an embodiment, the geometry of the first simulation domain is split by implementing the domain-splitting technique on the real surface information. As mentioned supra, by implementing the domain-splitting technique the one or more hardware processors 104 split the domain of the first simulation using the real surface information via the ANSYS ICEM CFD™ tool. In an example implementation, by referring to FIG. 6, the modified geometry or the domain split performed using the real surface information may be referred. By referring to FIG. 7, the modified geometry obtained from the domain-splitting technique may be referred.
[035] The traditional systems and methods may not cite the domain split as shown and implemented by the proposed disclosure. By implementing the domain split using the real surface information, the proposed disclosure provides for a removal of gas (or air) domain from the first simulated domain (recall that the first simulation domain comprises the liquid and the gas). By removing the gas domain, the domain-splitting technique thus facilitates implementation of an Eulerian (multiphase) modelling to extract a second simulation domain (discussed in detail in steps 204 and 205).
[036] According to an embodiment of the present disclosure, at step 204, the one or more hardware processors 104 are configured to extract the second simulation domain comprising solid particles dispersed in the first simulation domain from the modified geometry. The second simulation domain is extracted by simulating the modified geometry, wherein the simulation is performed by implementing an Eulerian multiphase flow modelling technique. Initially, some solid particles (for example, silica) is immersed into the modified geometry (that is, the geometry of the first simulation domain modified by the domain-splitting technique). The new domain (that is, the modified geometry with the solid particles) is simulated by the one or more hardware processors 104 via a CFD software, wherein the simulation is performed by implementing the Eulerian multiphase flow modelling technique.
[037] In general, in the Eulerian multiphase flow modelling, individual fluid particles are not identified. Instead, a control volume is defined, as shown in the diagram. Pressure, velocity, acceleration, and all other flow properties are described as fields within the control volume. In other words, each property is expressed as a function of space and time, as shown for the velocity field in the diagram. The fluid properties p, ?, v are written as functions of space and times. The flow is determined by the analyzing the behavior of the functions.
[038] In an embodiment, during the simulation, turbulence may be introduced in the new domain by rotating an impeller at 150 revolutions per minute (rpm), thereby resulting in the extraction of the second simulation domain. By referring to FIG. 8, the second simulation extracted (comprising distributed solid particles) by simulating the modified geometry may be referred.
[039] According to an embodiment of the present disclosure, at step 205, the one or more hardware processors 104 are configured to obtain, by simulating the second simulation domain, a multiphase modelling solution comprising a set of simulated values corresponding to each coordinate of the second simulation domain. The simulation of the second simulation domain may again be performed by implementing the Eulerian multiphase flow modelling technique. The process of obtaining the set of simulated values along with technical improvements of simulating the second simulation domain may now be considered in detail.
[040] In an embodiment, initially, by implementing the Eulerian multiphase flow modelling technique on the second simulation domain, the distribution of solid particles in the entire second simulation domain as referred to in FIG. 8 may be obtained. By obtaining the distribution of solid particles, the technical problem faced by the traditional systems and methods, that is, simultaneous simulation of solids (or any solid particles) and any liquid (homogeneous or non-homogeneous) is resolved. Thus, the domain-splitting technique facilitates identifying, using the modified geometry, a primary phase and a secondary phase of the second simulation domain, wherein the primary phase comprises a liquid and the secondary phase comprises solid (for example, silica).
[041] The identification of the primary phase and the secondary phase facilitates simultaneous simulation of solids (or any solid particles) and any liquid (homogeneous or non-homogeneous), providing for a clear separation of the liquid and the solid particles in the second simulation domain, and thereby facilitating obtaining the multiphase modelling solution in CFD.
[042] In an embodiment, by simulating the second simulation domain, a distribution of an immiscible liquid in the second simulation domain may be obtained, as referred to in FIG. 8. Further by obtaining the distribution of an immiscible liquid in the second simulation domain, another technical problem faced by the traditional systems and methods, that is, simulation of any two or more liquids in a liquid extraction process is resolved. Finally, referring to FIG. 8 again, the set of simulated values corresponding to each coordinate of the second simulation domain may be obtained. The set of simulated values thus obtained resolve the technical problem faced by the traditional systems and methods, that is, estimating distribution of any solid particles in any kind of liquid.
[043] According to an embodiment of the present disclosure, the proposed disclosure provides for an identification of a set of distribution values corresponding to another simulation domain for modelling a free surface flow. Another simulation domain may comprise of any liquid and solid(s). The set of distribution values denote a distribution of solids in another simulation domain. By referring to plots in FIG. 9A and 9B, it may be noted that the plots depict the distribution of solids profiles at the various locations from the bottom of the mixing tank for another simulation domain.
[044] By referring to FIG. 9A, it may be noted that that Line 1 shows a higher concentration of solids as it is closes to the bottom of the tank. Line 1 location may be referred to in FIG. 9B. As the analysis location is moved from bottom to top (that is, moving from Line 1, Line 2… Line 8,) it may be noted that solids content is decreasing as may be referred from FIG. 9A.
[045] According to an embodiment of the present disclosure, advantages of the proposed methodology may now be considered in detail. The proposed disclosure provides for a two-stage implementation, wherein by an initial simulation, the solution space is extracted, and later, by performing another simulation (of the second simulation domain), the multiphase modelling solution is obtained. Thus, by implementing the proposed methodology, the distributions in the entire domain of the stirred tank may be obtained. This may not be possible with the traditional systems and methods, as modelling techniques proposed by the traditional systems and methods gives the infeasible results. This is because with the traditional systems and methods it is not possible to simultaneously track the interface and the distribution of solid particles in the liquid.
[046] Further, by using the real surface information to modify the existing geometry, the proposed methodology facilitates obtaining the distribution of solids in a separator. This procedure eliminated the dependence on the experiments and empirical expressions. Further, as discussed above, by implementing the domain-splitting technique, the proposed methodology provides for a removal of gas (or air) domain from the first simulated domain (recall that the first simulation domain comprises the liquid and the gas). By removing the gas domain, the domain-splitting technique thus facilitates implementation of the Eulerian modelling.
[047] In an embodiment, the memory 102 can be configured to store any data that is associated with multiphase modelling in CFD. In an embodiment, the information pertaining to the first simulation domain, the extracted solution space, the real surface information, the modified geometry, the second simulation domain, the obtained multiphase modelling solution etc. is stored in the memory 102. Further, all information (inputs, outputs and so on) pertaining to the simulation of humans with multiphase modelling in CFD.
[048] The written description describes the subject matter herein to enable any person skilled in the art to make and use the embodiments. The scope of the subject matter embodiments is defined by the claims and may include other modifications that occur to those skilled in the art. Such other modifications are intended to be within the scope of the claims if they have similar elements that do not differ from the literal language of the claims or if they include equivalent elements with insubstantial differences from the literal language of the claims.
[049] The embodiments of present disclosure herein addresses unresolved problem of absence of clear splitting or demarcation between two phases in multiphase modelling. The embodiment, thus provides for the domain-splitting technique which facilitates modifying geometry or existing design of a simulation domain using the real surface information for facilitating implementation of the Eulerian multiphase modelling technique. Moreover, the embodiments herein further provides for obtaining the multiphase modelling solution comprising simulated values corresponding to each coordinate of a simulation domain.
[050] It is to be understood that the scope of the protection is extended to such a program and in addition to a computer-readable means having a message therein; such computer-readable storage means contain program-code means for implementation of one or more steps of the method, when the program runs on a server or mobile device or any suitable programmable device. The hardware device can be any kind of device which can be programmed including e.g. any kind of computer like a server or a personal computer, or the like, or any combination thereof. The device may also include means which could be e.g. hardware means like e.g. an application-specific integrated circuit (ASIC), a field-programmable gate array (FPGA), or a combination of hardware and software means, e.g. an ASIC and an FPGA, or at least one microprocessor and at least one memory with software modules located therein. Thus, the means can include both hardware means and software means. The method embodiments described herein could be implemented in hardware and software. The device may also include software means. Alternatively, the embodiments may be implemented on different hardware devices, e.g. using a plurality of CPUs.
[051] The embodiments herein can comprise hardware and software elements. The embodiments that are implemented in software include but are not limited to, firmware, resident software, microcode, etc. The functions performed by various modules described herein may be implemented in other modules or combinations of other modules. For the purposes of this description, a computer-usable or computer readable medium can be any apparatus that can comprise, store, communicate, propagate, or transport the program for use by or in connection with the instruction execution system, apparatus, or device.
[052] The illustrated steps are set out to explain the exemplary embodiments shown, and it should be anticipated that ongoing technological development will change the manner in which particular functions are performed. These examples are presented herein for purposes of illustration, and not limitation. Further, the boundaries of the functional building blocks have been arbitrarily defined herein for the convenience of the description. Alternative boundaries can be defined so long as the specified functions and relationships thereof are appropriately performed. Alternatives (including equivalents, extensions, variations, deviations, etc., of those described herein) will be apparent to persons skilled in the relevant art(s) based on the teachings contained herein. Such alternatives fall within the scope and spirit of the disclosed embodiments. Also, the words “comprising,” “having,” “containing,” and “including,” and other similar forms are intended to be equivalent in meaning and be open ended in that an item or items following any one of these words is not meant to be an exhaustive listing of such item or items, or meant to be limited to only the listed item or items. It must also be noted that as used herein and in the appended claims, the singular forms “a,” “an,” and “the” include plural references unless the context clearly dictates otherwise.
[053] Furthermore, one or more computer-readable storage media may be utilized in implementing embodiments consistent with the present disclosure. A computer-readable storage medium refers to any type of physical memory on which information or data readable by a processor may be stored. Thus, a computer-readable storage medium may store instructions for execution by one or more processors, including instructions for causing the processor(s) to perform steps or stages consistent with the embodiments described herein. The term “computer-readable medium” should be understood to include tangible items and exclude carrier waves and transient signals, i.e., be non-transitory. Examples include random access memory (RAM), read-only memory (ROM), volatile memory, nonvolatile memory, hard drives, CD ROMs, DVDs, flash drives, disks, and any other known physical storage media.
[054] It is intended that the disclosure and examples be considered as exemplary only, with a true scope and spirit of disclosed embodiments being indicated by the following claims.