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Journal articles on the topic 'Multiphase Solver'

Author: Grafiati

Published: 6 September 2023

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1

Wang, Yan, Chang Shu, Li-Ming Yang, and Hai-Zhuan Yuan. "Development of axisymmetric lattice Boltzmann flux solver for complex multiphase flows." Modern Physics Letters B 32, no. 12n13 (May 10, 2018): 1840005. http://dx.doi.org/10.1142/s0217984918400055.

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This paper presents an axisymmetric lattice Boltzmann flux solver (LBFS) for simulating axisymmetric multiphase flows. In the solver, the two-dimensional (2D) multiphase LBFS is applied to reconstruct macroscopic fluxes excluding axisymmetric effects. Source terms accounting for axisymmetric effects are introduced directly into the governing equations. As compared to conventional axisymmetric multiphase lattice Boltzmann (LB) method, the present solver has the kinetic feature for flux evaluation and avoids complex derivations of external forcing terms. In addition, the present solver also saves considerable computational efforts in comparison with three-dimensional (3D) computations. The capability of the proposed solver in simulating complex multiphase flows is demonstrated by studying single bubble rising in a circular tube. The obtained results compare well with the published data.

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2

Chen, Guo-Qing, Hongyuan Li, Pengyu Lv, and Huiling Duan. "An improved multiphase lattice Boltzmann flux solver with phase interface compression for incompressible multiphase flows." Physics of Fluids 35, no. 1 (January 2023): 013310. http://dx.doi.org/10.1063/5.0131506.

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Numerical dissipation is ubiquitous in multiphase flow simulation. This paper introduces a phase interface compression term into the recently developed multiphase lattice Boltzmann flux solver and achieves an excellent interface maintenance. Here, the phase interface compression term only works in the interface region and is solved as the flux in finite volume discretization. At each cell interface, the interfacial compression velocity [Formula: see text] is determined by local reconstruction velocities of the multiphase lattice Boltzmann flux solver, which maintains the consistency of the flux evaluation. Meanwhile, the interfacial order parameter C in the phase interface compression term is obtained by the second order upwind scheme according to the interface normal direction. Numerical validation of the present model has been made by simulating the Zalesak problem, the single vortex problem, Rayleigh–Taylor instability, and bubble rising and coalescence. The obtained results indicate the validity and reliability of the present model.

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3

Lin, Zhipeng, Wenjing Yang, Houcun Zhou, Xinhai Xu, Liaoyuan Sun, Yongjun Zhang, and Yuhua Tang. "Communication Optimization for Multiphase Flow Solver in the Library of OpenFOAM." Water 10, no. 10 (October 16, 2018): 1461. http://dx.doi.org/10.3390/w10101461.

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Multiphase flow solvers are widely-used applications in OpenFOAM, whose scalability suffers from the costly communication overhead. Therefore, we establish communication-optimized multiphase flow solvers in OpenFOAM. In this paper, we first deliver a scalability bottleneck test on the typical multiphase flow case damBreak and reveal that the Message Passing Interface (MPI) communication in a Multidimensional Universal Limiter for Explicit Solution (MULES) and a Preconditioned Conjugate Gradient (PCG) algorithm is the short slab of multiphase flow solvers. Furthermore, an analysis of the communication behavior is carried out. We find that the redundant communication in MULES and the global synchronization in PCG are the performance limiting factors. Based on the analysis, we propose our communication optimization algorithm. For MULES, we remove the redundant communication and obtain optMULES. For PCG, we import several intermediate variables and rearrange PCG to reduce the global communication. We also overlap the computation of matrix-vector multiply and vector update with the non-blocking computation. The resulting algorithms are respectively referred to as OFPiPePCG and OFRePiPePCG. Extensive experiments show that our proposed method could dramatically increase the parallel scalability and solving speed of multiphase flow solvers in OpenFOAM approximately without the loss of accuracy.

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4

Nguyen, Viet-Bac, Quoc-Vu Do, and Van-Sang Pham. "An OpenFOAM solver for multiphase and turbulent flow." Physics of Fluids 32, no. 4 (April 1, 2020): 043303. http://dx.doi.org/10.1063/1.5145051.

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5

Wang, Y., C. Shu, H. B. Huang, and C. J. Teo. "Multiphase lattice Boltzmann flux solver for incompressible multiphase flows with large density ratio." Journal of Computational Physics 280 (January 2015): 404–23. http://dx.doi.org/10.1016/j.jcp.2014.09.035.

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6

Jafarian, Ali, and Ahmadreza Pishevar. "An exact multiphase Riemann solver for compressible cavitating flows." International Journal of Multiphase Flow 88 (January 2017): 152–66. http://dx.doi.org/10.1016/j.ijmultiphaseflow.2016.08.001.

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7

Ivanov, E. A., A. S. Klyuyev, A. A. Zharkovskii, and I. O. Borshchev. "Numerical Simulation of Multiphase Flow Structures in Openfoam Software Package." E3S Web of Conferences 320 (2021): 04016. http://dx.doi.org/10.1051/e3sconf/202132004016.

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Numerical simulation of various structures of multiphase flow in the pipe was performed using the OpenFOAM software package. A visual comparison of multiphase flow design structures for separated stratified-wave, plug and annular flow modes with experimental data is presented. For multiphase flow modelling the solver compressibleInterFoam was used. From the results of numerical modelling, it follows that the OpenFOAM software package allows correct prediction of multiphase flow modes in the pipe depending on Reynolds numbers for gas and liquid phases of the flow.

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8

Abas, Aizat, N. Hafizah Mokhtar, M. H. H. Ishak, M. Z. Abdullah, and Ang Ho Tian. "Lattice Boltzmann Model of 3D Multiphase Flow in Artery Bifurcation Aneurysm Problem." Computational and Mathematical Methods in Medicine 2016 (2016): 1–17. http://dx.doi.org/10.1155/2016/6143126.

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This paper simulates and predicts the laminar flow inside the 3D aneurysm geometry, since the hemodynamic situation in the blood vessels is difficult to determine and visualize using standard imaging techniques, for example, magnetic resonance imaging (MRI). Three different types of Lattice Boltzmann (LB) models are computed, namely, single relaxation time (SRT), multiple relaxation time (MRT), and regularized BGK models. The results obtained using these different versions of the LB-based code will then be validated with ANSYS FLUENT, a commercially available finite volume- (FV-) based CFD solver. The simulated flow profiles that include velocity, pressure, and wall shear stress (WSS) are then compared between the two solvers. The predicted outcomes show that all the LB models are comparable and in good agreement with the FVM solver for complex blood flow simulation. The findings also show minor differences in their WSS profiles. The performance of the parallel implementation for each solver is also included and discussed in this paper. In terms of parallelization, it was shown that LBM-based code performed better in terms of the computation time required.

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9

Jiang, LiJuan, HongGuang Sun, and Yan Wang. "Modeling immiscible fluid flow in fractal pore medium by multiphase lattice Boltzmann flux solver." Physics of Fluids 35, no. 2 (February 2023): 023334. http://dx.doi.org/10.1063/5.0137360.

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In this paper, the multiphase lattice Boltzmann flux solver (MLBFS), where the phase field model and the apparent liquid permeability model are built-in, is developed to simulate incompressible multiphase flows in fractal pore structure at the representative elementary volume scale. MLBFS takes advantage of the traditional Navier–Stokes solver (e.g., geometric flexibility and direct handling of complex boundary conditions) and lattice Boltzmann method (e.g., intrinsically kinetic nature, simplicity, and parallelism). It is easily applied to simulate multiphase flows transport in the porous medium with large density ratios and high Reynolds numbers. This study focuses on the fluid flow in fractal pore structures and provides an in-depth discussion of the effects of non-Newtonian index, fractal parameters, and density ratios on multiphase flow. The proposed model is validated with benchmark problems to test the applicability and reliability of the MLBFS in describing fluid flow in fractal pore structures with large density ratios and viscosity ratios. Simulation results show that the fractal parameters (i.e., fractal dimension, tortuous fractal dimension, porosity, and capillary radius ratio) can accurately characterize fractal pore structure and significantly affect the apparent liquid permeability. In addition, the flow rate increases with the fractal dimension and decreases with the tortuous fractal dimension, while both flow rate and apparent liquid permeability decrease as the capillary radius ratio. It is also noteworthy that the effect of nonlinear drag forces cannot be neglected for shear-thickened flows.

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10

Guo, Yisen, and Yongsheng Lian. "Calculation of Water Collection Efficiency Using a Multiphase Flow Solver." Journal of Aircraft 56, no. 2 (March 2019): 685–94. http://dx.doi.org/10.2514/1.c034793.

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11

Singh, Gurpreet, Gergina Pencheva, and Mary F. Wheeler. "An approximate Jacobian nonlinear solver for multiphase flow and transport." Journal of Computational Physics 375 (December 2018): 337–51. http://dx.doi.org/10.1016/j.jcp.2018.08.043.

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12

Li, Wei, and Mathieu Desbrun. "Fluid-Solid Coupling in Kinetic Two-Phase Flow Simulation." ACM Transactions on Graphics 42, no. 4 (July 26, 2023): 1–14. http://dx.doi.org/10.1145/3592138.

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Real-life flows exhibit complex and visually appealing behaviors such as bubbling, splashing, glugging and wetting that simulation techniques in graphics have attempted to capture for years. While early approaches were not capable of reproducing multiphase flow phenomena due to their excessive numerical viscosity and low accuracy, kinetic solvers based on the lattice Boltzmann method have recently demonstrated the ability to simulate water-air interaction at high Reynolds numbers in a massively-parallel fashion. However, robust and accurate handling of fluid-solid coupling has remained elusive: be it for CG or CFD solvers, as soon as the motion of immersed objects is too fast or too sudden, pressures near boundaries and interfacial forces exhibit spurious oscillations leading to blowups. Built upon a phase-field and velocity-distribution based lattice-Boltzmann solver for multiphase flows, this paper spells out a series of numerical improvements in momentum exchange, interfacial forces, and two-way coupling to drastically reduce these typical artifacts, thus significantly expanding the types of fluid-solid coupling that we can efficiently simulate. We highlight the numerical benefits of our solver through various challenging simulation results, including comparisons to previous work and real footage.

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13

Zhou, Houcun, Min Xiang, Shiwei Zhao, and Weihua Zhang. "Development of a multiphase solver for cavitation flow near free surface." Ocean Engineering 188 (September 2019): 106236. http://dx.doi.org/10.1016/j.oceaneng.2019.106236.

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14

Ma, Z. H., L. Qian, P. J. Martínez-Ferrer, D. M. Causon, C. G. Mingham, and W. Bai. "An overset mesh based multiphase flow solver for water entry problems." Computers & Fluids 172 (August 2018): 689–705. http://dx.doi.org/10.1016/j.compfluid.2018.01.025.

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15

Ouazzi, A., S. Turek, and H. Damanik. "A curvature-free multiphase flow solver via surface stress-based formulation." International Journal for Numerical Methods in Fluids 88, no. 1 (April 25, 2018): 18–31. http://dx.doi.org/10.1002/fld.4509.

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16

Stojanović, Mario, Francesco Romanò, and Hendrik C. Kuhlmann. "MaranStable: A linear stability solver for multiphase flows in canonical geometries." SoftwareX 23 (July 2023): 101405. http://dx.doi.org/10.1016/j.softx.2023.101405.

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17

Wardle, Kent E., and Henry G. Weller. "Hybrid Multiphase CFD Solver for Coupled Dispersed/Segregated Flows in Liquid-Liquid Extraction." International Journal of Chemical Engineering 2013 (2013): 1–13. http://dx.doi.org/10.1155/2013/128936.

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The flows in stage-wise liquid-liquid extraction devices include both phase segregated and dispersed flow regimes. As a additional layer of complexity, for extraction equipment such as the annular centrifugal contactor, free-surface flows also play a critical role in both the mixing and separation regions of the device and cannot be neglected. Traditionally, computional fluid dynamics (CFD) of multiphase systems is regime dependent—different methods are used for segregated and dispersed flows. A hybrid multiphase method based on the combination of an Eulerian multifluid solution framework (per-phase momentum equations) and sharp interface capturing using Volume of Fluid (VOF) on selected phase pairs has been developed using the open-source CFD toolkit OpenFOAM. Demonstration of the solver capability is presented through various examples relevant to liquid-liquid extraction device flows including three-phase, liquid-liquid-air simulations in which a sharp interface is maintained between each liquid and air, but dispersed phase modeling is used for the liquid-liquid interactions.

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18

Hosseini, Seyed Ali, Hesameddin Safari, and Dominique Thevenin. "Lattice Boltzmann Solver for Multiphase Flows: Application to High Weber and Reynolds Numbers." Entropy 23, no. 2 (January 29, 2021): 166. http://dx.doi.org/10.3390/e23020166.

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The lattice Boltzmann method, now widely used for a variety of applications, has also been extended to model multiphase flows through different formulations. While already applied to many different configurations in low Weber and Reynolds number regimes, applications to higher Weber/Reynolds numbers or larger density/viscosity ratios are still the topic of active research. In this study, through a combination of a decoupled phase-field formulation—the conservative Allen–Cahn equation—and a cumulant-based collision operator for a low-Mach pressure-based flow solver, we present an algorithm that can be used for higher Reynolds/Weber numbers. The algorithm was validated through a variety of test cases, starting with the Rayleigh–Taylor instability in both 2D and 3D, followed by the impact of a droplet on a liquid sheet. In all simulations, the solver correctly captured the flow dynamics andmatched reference results very well. As the final test case, the solver was used to model droplet splashing on a thin liquid sheet in 3D with a density ratio of 1000 and kinematic viscosity ratio of 15, matching the water/air system at We = 8000 and Re = 1000. Results showed that the solver correctly captured the fingering instabilities at the crown rim and their subsequent breakup, in agreement with experimental and numerical observations reported in the literature.

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19

Behrangi, Farhang, Mohammad Ali Banihashemi, Masoud Montazeri Namin, and Asghar Bohluly. "FGA-MMF method for the simulation of two-phase flows." Engineering Computations 35, no. 3 (May 8, 2018): 1161–82. http://dx.doi.org/10.1108/ec-03-2017-0076.

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Purpose This paper aims to present a novel numerical technique for solving the incompressible multiphase mixture model. Design/methodology/approach The multiphase mixture model contains a set of momentum and continuity equations for the mixture phase, a second phase continuity equation and the algebraic equation for the relative velocity. For solving continuity equation for the second phase and advection term of momentum, an improved approach fine grid advection-multiphase mixture flow (FGA-MMF) is developed. In the FGA-MMF method, the continuity equation for the second phase is solved with higher-order schemes in a two times finer grid. To solve the advection term of the momentum equation, the advection fluxes of the volume fraction in the continuity equation for the second phase are used. Findings This approach has been used in various tests to simulate unsteady flow problems. Comparison between numerical results and experimental data demonstrates a satisfactory performance. Numerical examples show that this approach increases the accuracy and stability of the solution and decreases non-monotonic results. Research limitations/implications The solver for the multi-phase mixture model can only be adopted to solve the incompressible fluid flow. Originality/value The paper developed an innovative solution (FGA-MMF) to find multi-phase flow field value in the multi-phase mixture model. Advantages of the FGA-MMF technique are the ability to accurately determine the phases interpenetrating, decreasing the numerical diffusion of the interface and preventing instability and non-monotonicity in solution of large density variation problems.

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20

Yan, Haoran, Guiyong Zhang, Yucheng Xiao, Da Hui, and Shuangqiang Wang. "A surface flux correction-based immersed boundary-multiphase lattice Boltzmann flux solver applied to multiphase fluids–structure interaction." Computer Methods in Applied Mechanics and Engineering 400 (October 2022): 115481. http://dx.doi.org/10.1016/j.cma.2022.115481.

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21

Shonibare, Olabanji Y., and Kent E. Wardle. "Numerical Investigation of Vertical Plunging Jet Using a Hybrid Multifluid–VOF Multiphase CFD Solver." International Journal of Chemical Engineering 2015 (2015): 1–14. http://dx.doi.org/10.1155/2015/925639.

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A novel hybrid multiphase flow solver has been used to conduct simulations of a vertical plunging liquid jet. This solver combines a multifluid methodology with selective interface sharpening to enable simulation of both the initial jet impingement and the long-time entrained bubble plume phenomena. Models are implemented for variable bubble size capturing and dynamic switching of interface sharpened regions to capture transitions between the initially fully segregated flow types into the dispersed bubbly flow regime. It was found that the solver was able to capture the salient features of the flow phenomena under study and areas for quantitative improvement have been explored and identified. In particular, a population balance approach is employed and detailed calibration of the underlying models with experimental data is required to enable quantitative prediction of bubble size and distribution to capture the transition between segregated and dispersed flow types with greater fidelity.

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22

Nangia, Nishant, Boyce E. Griffith, Neelesh A. Patankar, and Amneet Pal Singh Bhalla. "A robust incompressible Navier-Stokes solver for high density ratio multiphase flows." Journal of Computational Physics 390 (August 2019): 548–94. http://dx.doi.org/10.1016/j.jcp.2019.03.042.

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23

Reddy, Rajesh, and R. Banerjee. "GPU accelerated VOF based multiphase flow solver and its application to sprays." Computers & Fluids 117 (August 2015): 287–303. http://dx.doi.org/10.1016/j.compfluid.2015.05.013.

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24

Rodríguez-Ocampo, Paola Elizabeth, Michael Ring, Jassiel Vladimir Hernández-Fontes, Juan Carlos Alcérreca-Huerta, Edgar Mendoza, and Rodolfo Silva. "CFD Simulations of Multiphase Flows: Interaction of Miscible Liquids with Different Temperatures." Water 12, no. 9 (September 16, 2020): 2581. http://dx.doi.org/10.3390/w12092581.

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The incorporation of new equations to extend the applicability of open-source computational fluid dynamics (CFD) software according to the user’s needs must be complemented with code verification and validation with a representative case. This paper presents the development and validation of an OpenFOAM®-based solver suitable for simulating multiphase fluid flow considering three fluid phases with different densities and temperatures, i.e., two miscible liquids and air. A benchmark “dam-break” experiment was performed to validate the solver. Ten thermistors measured temperature variations in different locations of the experimental model and the temperature time series were compared against those of numerical probes in analogous locations. The accuracy of the temperature field assessment considered three different turbulence models: (a) zero-equation, (b) k-omega (Reynolds averaged simulation; RAS), and (c) large eddy simulation (LES). The simulations exhibit a maximum time-average relative and absolute errors of 9.3% and 3.1 K, respectively; thus, the validation tests proved to achieve an adequate performance of the numerical model. The solver developed can be applied in the modeling of thermal discharges into water bodies.

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25

Kitamura, Keiichi, Meng-Sing Liou, and Chih-Hao Chang. "Extension and Comparative Study of AUSM-Family Schemes for Compressible Multiphase Flow Simulations." Communications in Computational Physics 16, no. 3 (September 2014): 632–74. http://dx.doi.org/10.4208/cicp.020813.190214a.

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AbstractSeveral recently developed AUSM-family numerical flux functions (SLAU, SLAU2, AUSMM+-up2, and AUSMPW+) have been successfully extended to compute compressible multiphase flows, based on the stratified flow model concept, by following two previous works: one by M.-S. Liou, C.-H. Chang, L. Nguyen, and T.G. Theofanous [AIAA J. 46:2345-2356, 2008], in which AUSM+-up was used entirely, and the other by C.-H. Chang, and M.-S. Liou [J. Comput. Phys. 225:840-873, 2007], in which the exact Riemann solver was combined into AUSM+-up at the phase interface. Through an extensive survey by comparing flux functions, the following are found: (1) AUSM+-up with dissipation parameters of Kp and Ku equal to 0.5 or greater, AUSMPW+, SLAU2, AUSM+-up2, and SLAU can be used to solve benchmark problems, including a shock/water-droplet interaction; (2) SLAU shows oscillatory behaviors [though not as catastrophic as those of AUSM+ (a special case of AUSM+-up with Kp = Ku = 0)] due to insufficient dissipation arising from its ideal-gas-based dissipation term; and (3) when combined with the exact Riemann solver, AUSM+-up (Kp = Ku = 1), SLAU2, and AUSMPW+ are applicable to more challenging problems with high pressure ratios.

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26

Joubert, Johannes C., Daniel N. Wilke, and Patrick Pizette. "A Generalized Finite Difference Scheme for Multiphase Flow." Mathematical and Computational Applications 28, no. 2 (March 26, 2023): 51. http://dx.doi.org/10.3390/mca28020051.

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This paper presents a GPU-based, incompressible, multiphase generalized finite difference solver for simulating multiphase flow. The method includes a dampening scheme that allows for large density ratio cases to be simulated. Two verification studies are performed by simulating the relaxation of a square droplet surrounded by a light fluid and a bubble rising in a denser fluid. The scheme is also used to simulate the collision of binary droplets at moderate Reynolds numbers (250–550). The effects of the surface tension and density ratio are explored in this work by considering cases with Weber numbers of 8 and 180 and density ratios of 2:1 and 1000:1. The robustness of the multiphase scheme is highlighted when resolving thin fluid structures arising in both high and low density ratio cases at We = 180.

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Li, Wei, Yihui Ma, Xiaopei Liu, and Mathieu Desbrun. "Efficient kinetic simulation of two-phase flows." ACM Transactions on Graphics 41, no. 4 (July 2022): 1–17. http://dx.doi.org/10.1145/3528223.3530132.

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Real-life multiphase flows exhibit a number of complex and visually appealing behaviors, involving bubbling, wetting, splashing, and glugging. However, most state-of-the-art simulation techniques in graphics can only demonstrate a limited range of multiphase flow phenomena, due to their inability to handle the real water-air density ratio and to the large amount of numerical viscosity introduced in the flow simulation and its coupling with the interface. Recently, kinetic-based methods have achieved success in simulating large density ratios and high Reynolds numbers efficiently; but their memory overhead, limited stability, and numerically-intensive treatment of coupling with immersed solids remain enduring obstacles to their adoption in movie productions. In this paper, we propose a new kinetic solver to couple the incompressible Navier-Stokes equations with a conservative phase-field equation which remedies these major practical hurdles. The resulting two-phase immiscible fluid solver is shown to be efficient due to its massively-parallel nature and GPU implementation, as well as very versatile and reliable because of its enhanced stability to large density ratios, high Reynolds numbers, and complex solid boundaries. We highlight the advantages of our solver through various challenging simulation results that capture intricate and turbulent air-water interaction, including comparisons to previous work and real footage.

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28

Gondyul, Е. А., and V. V. Lisitsa. "Modeling of unsteady flows of multiphase viscous fluid in a pore space." Interexpo GEO-Siberia 2, no. 2 (May 18, 2022): 32–37. http://dx.doi.org/10.33764/2618-981x-2022-2-2-32-37.

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The authors have developed and implemented a numerical algorithm to model unsteady flows of a viscous multiphase isothermal fluid by finite difference method using the projection method for the numerical solution of the Navier-Stokes equation. The projection method implies splitting the initial system of equations by physical processes, in which convective transport and the effect of the pressure gradient are separately taken into account. As a result, at each step, it is necessary to solve the Poisson equation to find the pressure field. The solution of SLAE is performed by a parallel direct solver based on LU decomposition. An explicit scheme is used to solve the Cahn-Hilliard equation to update the phase field, the parameter of which is taken into account when adding surface forces to the Navier-Stokes equation. Computational experiments showing qualitative and quantitative agreement with experimental and numerical data from the literature are presented.

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Yang, Liuming, Chang Shu, Zhen Chen, Yan Wang, and Guoxiang Hou. "A simplified lattice Boltzmann flux solver for multiphase flows with large density ratio." International Journal for Numerical Methods in Fluids 93, no. 6 (January 28, 2021): 1895–912. http://dx.doi.org/10.1002/fld.4958.

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30

Turnquist, Brian, and Mark Owkes. "A fast, decomposed pressure correction method for an intrusive stochastic multiphase flow solver." Computers & Fluids 221 (May 2021): 104930. http://dx.doi.org/10.1016/j.compfluid.2021.104930.

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Xie, Bin, Peng Jin, Hiroki Nakayama, ShiJun Liao, and Feng Xiao. "A conservative solver for surface-tension-driven multiphase flows on collocated unstructured grids." Journal of Computational Physics 401 (January 2020): 109025. http://dx.doi.org/10.1016/j.jcp.2019.109025.

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32

Yang, Daegil, George J. Moridis, and Thomas A. Blasingame. "A fully coupled multiphase flow and geomechanics solver for highly heterogeneous porous media." Journal of Computational and Applied Mathematics 270 (November 2014): 417–32. http://dx.doi.org/10.1016/j.cam.2013.12.029.

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33

Shi, Y., G. H. Tang, and Y. Wang. "Simulation of three-component fluid flows using the multiphase lattice Boltzmann flux solver." Journal of Computational Physics 314 (June 2016): 228–43. http://dx.doi.org/10.1016/j.jcp.2016.03.011.

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Liu, Yang, and Nam Dinh. "Validation and Uncertainty Quantification for Wall Boiling Closure Relations in Multiphase-CFD Solver." Nuclear Science and Engineering 193, no. 1-2 (September 25, 2018): 81–99. http://dx.doi.org/10.1080/00295639.2018.1512790.

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35

Brunner, Fabian, and Peter Knabner. "A global implicit solver for miscible reactive multiphase multicomponent flow in porous media." Computational Geosciences 23, no. 1 (November 20, 2018): 127–48. http://dx.doi.org/10.1007/s10596-018-9788-7.

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36

Shin, Seungwon, Jalel Chergui, and Damir Juric. "A solver for massively parallel direct numerical simulation of three-dimensional multiphase flows." Journal of Mechanical Science and Technology 31, no. 4 (April 2017): 1739–51. http://dx.doi.org/10.1007/s12206-017-0322-y.

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37

Burns, Alan, Henning Eickenbusch, Paul Guilbert, and Dewei Yin. "Application of Coupled Solver Technology to CFD Modelling of Multiphase Flows with CFX." Chemie Ingenieur Technik 73, no. 6 (June 2001): 638. http://dx.doi.org/10.1002/1522-2640(200106)73:6<638::aid-cite6382222>3.0.co;2-8.

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38

Juanes, Ruben, and Knut-Andreas Lie. "Numerical modeling of multiphase first-contact miscible flows. Part 1. Analytical Riemann solver." Transport in Porous Media 67, no. 3 (October 10, 2006): 375–93. http://dx.doi.org/10.1007/s11242-006-9031-1.

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Mu, Li Li, and Ning Xue. "Numerical Simulation of Micro Flow Field of Micro Injector." Advanced Materials Research 327 (September 2011): 61–65. http://dx.doi.org/10.4028/www.scientific.net/amr.327.61.

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In order to research the effects of digital micro droplet injected by the piezoelectric ceramic inertial driver, the calculation model of micro flow field of micro injector was established based on the VOF model of multiphase flow. The calculation selected the implicit segregated solver and the standard k-e model was used in turbulence of the micro-nozzle. The governing equation was separated in first order upwind, and solved by PISO algorithm. The flow pattern of the micro channel fluid and the dynamic evolution process of the micro droplet generation in the plus wave driving were researched.

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Miao, Sha, Kelli Hendrickson, and Yuming Liu. "Computation of three-dimensional multiphase flow dynamics by Fully-Coupled Immersed Flow (FCIF) solver." Journal of Computational Physics 350 (December 2017): 97–116. http://dx.doi.org/10.1016/j.jcp.2017.08.042.

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Chen, Dezhu, Xin Tong, Bin Xie, Feng Xiao, and Ye Li. "An accurate and efficient multiphase solver based on THINC scheme and adaptive mesh refinement." International Journal of Multiphase Flow 162 (May 2023): 104409. http://dx.doi.org/10.1016/j.ijmultiphaseflow.2023.104409.

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Li, Yuanhong, and Song-Charng Kong. "Mesh refinement algorithms in an unstructured solver for multiphase flow simulation using discrete particles." Journal of Computational Physics 228, no. 17 (September 2009): 6349–60. http://dx.doi.org/10.1016/j.jcp.2009.05.018.

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AONO, Junya, and Keiichi KITAMURA. "Development of parameter-free, two-fluid, viscous multiphase flow solver for cough-droplet simulations." Journal of Fluid Science and Technology 18, no. 1 (2023): JFST0016. http://dx.doi.org/10.1299/jfst.2023jfst0016.

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Crha, Jakub, Pavlína Basařová, Marek C. Ruzicka, Ondřej Kašpar, and Maria Zednikova. "Comparison of Two Solvers for Simulation of Single Bubble Rising Dynamics: COMSOL vs. Fluent." Minerals 11, no. 5 (April 25, 2021): 452. http://dx.doi.org/10.3390/min11050452.

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Multiphase flows are a part of many industrial processes, where the bubble motion influences the hydrodynamic behavior of the batch. The current trend is to use numerical solvers that can simulate the movement and mutual interactions of bubbles. The aim of this work was to study how two commercial CFD solvers, COMSOL Multiphysics and Ansys Fluent, can simulate the motion of a single rising bubble in a stagnant liquid. Simulations were performed for spherical or slightly deformed bubbles (Db = 0.6, 0.8, and 1.5 mm) rising in water or in propanol. A simple 2D axisymmetric approach was used. Calculated bubble terminal velocities and bubble shape deformations were compared to both experimental data and theoretical estimations. Solver Comsol Multiphysics was able to precisely calculate the movement of smaller and larger bubbles; due to the 2D rotational symmetry, better results were obtained for small spherical bubbles. The deformation of larger bubbles was calculated sufficiently. Solver Ansys Fluent, in the setting used, failed to simulate the motion of small bubbles due to parasitic currents but allowed for modeling of the motion of larger bubbles. However, the description of the bubble velocity and shape was worse in comparison with experimental values.

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Zwick, D., and S. Balachandar. "Dynamics of rapidly depressurized multiphase shock tubes." Journal of Fluid Mechanics 880 (October 9, 2019): 441–77. http://dx.doi.org/10.1017/jfm.2019.710.

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Rapid depressurization is a fluid phenomenon that occurs in many industrial and natural applications. Its behaviour is often complicated by the formation, propagation and interaction of waves. In this work, we perform computer simulations of the rapid depressurization of a gas–solid mixture in a shock tube. Our problem set-up mimics previously performed experiments, which have been historically used as a laboratory surrogate for volcanic eruptions. The simulations are carried out with a discontinuous Galerkin compressible fluid solver with four-way coupled Lagrangian particle tracking capabilities. The results give an unprecedented look into the complex multiphase physics at work in this problem. Different regimes have been characterized in a regime map that highlights the key observations. While the mean flow behaviour is in good agreement with experiments, the simulations show unexpected accelerations of the particle front as it expands. Additionally, a new lifting mechanism for gas bubble (void) growth inside the gas–solid mixture is detailed.

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Guo, Yuhao, Yan Wang, Qiqi Hao, and Tongguang Wang. "An Interface-Corrected Diffuse Interface Model for Incompressible Multiphase Flows with Large Density Ratios." Applied Sciences 12, no. 18 (September 18, 2022): 9337. http://dx.doi.org/10.3390/app12189337.

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An interface-corrected diffuse interface method is presented in this work for the simulation of incompressible multiphase flows with large density ratios. In this method, an interface correction term together with a mass correction term is introduced into the diffuse-interface Cahn–Hilliard model to maintain both mass conservation and interface shapes between binary fluids simultaneously. The interface correction term is obtained by connecting the signed distance functions in the Hamilton–Jacobian equation with the order parameter of the Cahn–Hilliard model. In addition, an improved multiphase lattice Boltzmann flux solver is introduced, in which the fluxes are obtained by considering the contributions of the particle distribution functions before and after the streaming process through a local switch function. The proposed method is validated by simulating multiphase flows, such as the Laplace law, the evolution of a square bubble, the merging of two bubbles, Rayleigh–Taylor instability, and a droplet impacting on a film with a density ratio of 1000. Numerical results show that the presented method can not only reduce the interface diffusion but also has good control over the interface thickness and mass conservation. The improved numerical method has great potential for use in practical applications involving multiphase flows.

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Guler, Hasan Gokhan, Taro Arikawa, Cuneyt Baykal, Koray Deniz GÃ¶ral, and Ahmet Cevdet Yalciner. "MOTION OF SOLID SPHERES UNDER SOLITARY WAVE ATTACK: PHYSICAL AND NUMERICAL MODELING." Coastal Engineering Proceedings, no. 36 (December 30, 2018): 81. http://dx.doi.org/10.9753/icce.v36.papers.81.

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In this study, physical and numerical test are carried out focusing on the motion of two solid spheres under solitary wave attack. The numerical model CADMAS-SURF/3D-2F-DEM coupling a multiphase flow solver solving Reynolds Averaged Navier-Stokes Equations based on a porous body model and a discrete element method solver for Newtonâ€™s equations of motion is validated against the data of physical model experiments carried out in the wave flume of METU Ocean Engineering Research Center. Comparisons of the numerical simulations and physical model experiments show that the numerical model is capable of simulating the motion of solid spheres under solitary wave attack in a reasonably well accuracy.

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Li, You, Xiao-Dong Niu, Yan Wang, Adnan Khan, and Qiao-Zhong Li. "An interfacial lattice Boltzmann flux solver for simulation of multiphase flows at large density ratio." International Journal of Multiphase Flow 116 (July 2019): 100–112. http://dx.doi.org/10.1016/j.ijmultiphaseflow.2019.04.006.

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Klemetsdal, Øystein S., Olav Møyner, and Knut-Andreas Lie. "Robust Nonlinear Newton Solver With Adaptive Interface-Localized Trust Regions." SPE Journal 24, no. 04 (June 14, 2019): 1576–94. http://dx.doi.org/10.2118/195682-pa.

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Summary The interplay of multiphase-flow effects and pressure/volume/temperature behavior encountered in reservoir simulations often provides strongly coupled nonlinear systems that are challenging to solve numerically. In a sequentially implicit method, many of the essential nonlinearities are associated with the transport equation, and convergence failure for the Newton solver is often caused by steps that pass inflection points and discontinuities in the fractional-flow functions. The industry-standard approach is to heuristically chop timesteps and/or dampen updates suggested by the Newton solver if these exceed a predefined limit. Alternatively, one can use trust regions (TRs) to determine safe updates that stay within regions that have the same curvature for numerical flux. This approach has previously been shown to give unconditional convergence for polymer- and waterflooding problems, also when property curves have kinks or near-discontinuous behavior. Although unconditionally convergent, this method tends to be overly restrictive. Herein, we show how the detection of oscillations in the Newton updates can be used to adaptively switch on and off TRs, resulting in a less-restrictive method better suited for realistic reservoir simulations. We demonstrate the performance of the method for a series of challenging test cases ranging from conceptual 2D setups to realistic (and publicly available) geomodels such as the Norne Field and the recent Olympus model from the Integrated Systems Approach for Petroleum Production (ISAPP) optimization challenge.

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Wu, Song, Hanbing Sun, and Xinyu Li. "Response of 5 MW Floating Wind Turbines to Combined Action of Wind and Rain." Journal of Marine Science and Engineering 10, no. 2 (February 18, 2022): 284. http://dx.doi.org/10.3390/jmse10020284.

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For 5 MW floating wind turbines, the load response is significantly affected by wind and rain conditions. In order to reveal the relevant regularity of windblown rain and analyze the load response after being affected by the wind and rain, the rain phase is regarded as a continuous phase to be simulated. The self-compiled solver WARFoam (Wind and Rain Foam) is used to simulate the 5 MW wind turbines under wind and rain conditions. It is based on the Euler multiphase-model theory and the algorithm of unidirectional coupling of wind and rain. In this paper, the results of aerodynamic loads under WAR conditions are compared with the results of using the Lagrange particle-tracking model in order to prove that the Euler multiphase model can accurately calculate rain loads. On the basis of comparative verification, the convergence of the self-compiled solver is verified, which proves that the load-response analysis of the wind turbines under wind and rain conditions is accurate and efficient. The results show that rain has a significant impact on the load response of the wind turbines. Finally, the simulation results obtain the envelope diagram of the influence coefficient of rain-induced loads, which provides a quantitative reference standard for the calculation of the loads under wind and rain conditions.

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