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Journal articles on the topic 'Finite Volume Solver'

Author: Grafiati

Published: 6 September 2023

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1

Lourenço, Marcos Antonio de Souza, and Elie Luis Martínez Padilla. "An octree structured finite volume based solver." Applied Mathematics and Computation 365 (January 2020): 124721. http://dx.doi.org/10.1016/j.amc.2019.124721.

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2

Jiang, Yuewen. "Algebraic-volume meshfree method for application in finite volume solver." Computer Methods in Applied Mechanics and Engineering 355 (October 2019): 44–66. http://dx.doi.org/10.1016/j.cma.2019.05.048.

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3

Tuković, Željko, Aleksandar Karač, Philip Cardiff, Hrvoje Jasak, and Alojz Ivanković. "OpenFOAM Finite Volume Solver for Fluid-Solid Interaction." Transactions of FAMENA 42, no. 3 (2018): 1–31. http://dx.doi.org/10.21278/tof.42301.

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4

Gonzalez-Juez, Esteban D., and Aleksandar Jemcov. "Finite Volume Time-Domain Solver to Estimate Combustion Instabilities." Journal of Propulsion and Power 31, no. 2 (2015): 632–42. http://dx.doi.org/10.2514/1.b35488.

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5

Haleem, Dilshad A., Georges Kesserwani, and Daniel Caviedes-Voullième. "Haar wavelet-based adaptive finite volume shallow water solver." Journal of Hydroinformatics 17, no. 6 (2015): 857–73. http://dx.doi.org/10.2166/hydro.2015.039.

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This paper presents the formulation of an adaptive finite volume (FV) model for the shallow water equations. A Godunov-type reformulation combining the Haar wavelet is achieved to enable solution-driven resolution adaptivity (both coarsening and refinement) by depending on the wavelet's threshold value. The ability to properly model irregular topographies and wetting/drying is transferred from the (baseline) FV uniform mesh model, with no extra notable efforts. Selected hydraulic tests are employed to analyse the performance of the Haar wavelet FV shallow water solver considering adaptivity an

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6

Solin, Pavel, and Karel Segeth. "Description of the Multi-Dimensional Finite Volume Solver EULER." Applications of Mathematics 47, no. 2 (2002): 169–85. http://dx.doi.org/10.1023/a:1021789203207.

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7

Sandhu, Jatinder, Anant Girdhar, Rakesh Ramakrishnan, R. Teja, and Santanu Ghosh. "FEST-3D: Finite-volume Explicit STructured 3-Dimensional solver." Journal of Open Source Software 5, no. 46 (2020): 1555. http://dx.doi.org/10.21105/joss.01555.

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8

Chakravarthy, V. Kalyana, K. Arora, and D. Chakraborty. "A simple hybrid finite volume solver for compressible turbulence." International Journal for Numerical Methods in Fluids 77, no. 12 (2015): 707–31. http://dx.doi.org/10.1002/fld.4000.

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9

Jalali, Alireza, and Carl Ollivier-Gooch. "Anhp-adaptive unstructured finite volume solver for compressible flows." International Journal for Numerical Methods in Fluids 85, no. 10 (2017): 563–82. http://dx.doi.org/10.1002/fld.4396.

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10

Audusse, Emmanuel, and Marie-Odile Bristeau. "Finite-Volume Solvers for a Multilayer Saint-Venant System." International Journal of Applied Mathematics and Computer Science 17, no. 3 (2007): 311–20. http://dx.doi.org/10.2478/v10006-007-0025-0.

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Finite-Volume Solvers for a Multilayer Saint-Venant SystemWe consider the numerical investigation of two hyperbolic shallow water models. We focus on the treatment of the hyperbolic part. We first recall some efficient finite volume solvers for the classical Saint-Venant system. Then we study their extensions to a new multilayer Saint-Venant system. Finally, we use a kinetic solver to perform some numerical tests which prove that the 2D multilayer Saint-Venant system is a relevant alternative to 3D hydrostatic Navier-Stokes equations.

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11

Cai, Mingchao, Andy Nonaka, John B. Bell, Boyce E. Griffith, and Aleksandar Donev. "Efficient Variable-Coefficient Finite-Volume Stokes Solvers." Communications in Computational Physics 16, no. 5 (2014): 1263–97. http://dx.doi.org/10.4208/cicp.070114.170614a.

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AbstractWe investigate several robust preconditioners for solving the saddle-point linear systems that arise from spatial discretization of unsteady and steady variable-coefficient Stokes equations on a uniform staggered grid. Building on the success of using the classical projection method as a preconditioner for the coupled velocity pressure system [B. E. Griffith, J. Comp. Phys., 228 (2009), pp. 7565-7595], as well; established techniques for steady and unsteady Stokes flow in the finite-element literature, we construct preconditioners that employ independent generalized Helmholtz and Poiss

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12

Chung, T., Y. D. Wang, R. T. Armstrong, and P. Mostaghimi. "Approximating Permeability of Microcomputed-Tomography Images Using Elliptic Flow Equations." SPE Journal 24, no. 03 (2019): 1154–63. http://dx.doi.org/10.2118/191379-pa.

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Summary Direct simulation of flow on microcomputed-tomography (micro-CT) images of rocks is widely used for the calculation of permeability. However, direct numerical methods are computationally demanding. A rapid and robust method is proposed to solve the elliptic flow equation. Segmented micro-CT images are used for the calculation of local conductivity in each voxel. The elliptic flow equation is then solved on the images using the finite-volume method. The numerical method is optimized in terms of memory usage using sparse matrix modules to eliminate memory overhead associated with both th

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13

Møyner, Olav, and Knut-Andreas Lie. "The Multiscale Finite-Volume Method on Stratigraphic Grids." SPE Journal 19, no. 05 (2014): 816–31. http://dx.doi.org/10.2118/163649-pa.

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Summary Finding a pressure solution for large and highly detailed reservoir models with fine-scale heterogeneities modeled on a meter scale is computationally demanding. One way of making such simulations less compute-intensive is to use multiscale methods that solve coarsened flow problems by use of a set of reusable basis functions to capture flow effects induced by local geological variations. One such method, the multiscale finite-volume (MsFV) method, is well-studied for 2D Cartesian grids but has not been implemented for stratigraphic and unstructured grids with faults in three dimension

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14

Kang, Kab S. "On the Finite Volume Multigrid Method: Comparison of Intergrid Transfer Operators." Computational Methods in Applied Mathematics 15, no. 2 (2015): 189–202. http://dx.doi.org/10.1515/cmam-2014-0030.

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AbstractIn this paper, we consider finite volume multigrid methods on triangular meshes with control volume based intergrid transfer operators. We review the error analysis of the finite volume methods and the convergence analysis on the multigrid method. For several different triangulations, we investigate the error reduction factors of the multigrid method as a solver, and also as a preconditioner in the Preconditioned CGM and GMRES solvers. We also study the scaling properties of the finite volume multigrid method on a High Performance Computer. We identify that the intergrid transfer opera

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15

Deng, Xi, Bin Xie, and Feng Xiao. "Multimoment Finite Volume Solver for Euler Equations on Unstructured Grids." AIAA Journal 55, no. 8 (2017): 2617–29. http://dx.doi.org/10.2514/1.j055581.

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16

Meng, Xucheng, and Guanghui Hu. "A NURBS-enhanced finite volume solver for steady Euler equations." Journal of Computational Physics 359 (April 2018): 77–92. http://dx.doi.org/10.1016/j.jcp.2017.12.041.

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17

Saleem, Ayhan H., and Jowhar R. Mohammad. "Simulation of Mosul Dam Break Using Finite Volume Method." Polytechnic Journal 10, no. 2 (2020): 10–20. http://dx.doi.org/10.25156/ptj.v10n2y2020.pp10-20.

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Mosul dam is an earth-fill embankment located north of Iraq on the Tigris River forming a reservoir with 11.11 km3 water storage capacity which is the largest dam in the country. The dam is built on a rock bed foundation, in which the dissolution process is dynamic in the zone where gypsum and anhydrite layers present. During the construction development seepage locations were found in the dam foundation and the grouting process is in progress until now to control this problem. Therefore, the possibility of the Mosul dam break is highlighted by previous studies. In this research, a FORTRAN cod

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18

BOUSHABA, FARID, ELMILOUD CHAABELASRI, NAJIM SALHI, IMAD ELMAHI, FAYSSAL BENKHALDOUN, and ALISTAIR G. L. BORTHWICK. "A COMPARATIVE STUDY OF FINITE VOLUME AND FINITE ELEMENT ON SOME TRANSCRITICAL FREE SURFACE FLOW PROBLEMS." International Journal of Computational Methods 05, no. 03 (2008): 413–31. http://dx.doi.org/10.1142/s0219876208001522.

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This paper presents details of finite volume and finite element numerical models based on unstructured triangular meshes that are used to solve the two-dimensional nonlinear shallow water equations (SWEs). The finite volume scheme uses Roe's approximate Riemann solver to evaluate the convection terms. Second order accuracy is achieved by means of the MUSCL approach with MinMod and VanAlbada limiters. The finite element model utilizes the Lax–Wendroff two-step scheme, which is second-order in space and time. The models are validated and their relative performance compared for several benchmark

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19

Tchuen, Ghislain, Pascalin Tiam Kapen, and Yves Burtschell. "An accurate shock-capturing scheme based on rotated-hybrid Riemann solver." International Journal of Numerical Methods for Heat & Fluid Flow 26, no. 5 (2016): 1310–27. http://dx.doi.org/10.1108/hff-01-2015-0031.

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Purpose – The purpose of this paper is to present a new hybrid Euler flux fonction for use in a finite-volume Euler/Navier-Stokes code and adapted to compressible flow problems. Design/methodology/approach – The proposed scheme, called AUFSRR can be devised by combining the AUFS solver and the Roe solver, based on a rotated Riemann solver approach (Sun and Takayama, 2003; Ren, 2003). The upwind direction is determined by the velocity-difference vector and idea is to apply the AUFS solver in the direction normal to shocks to suppress carbuncle and the Roe solver across shear layers to avoid an

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20

Lorin, Emmanuel, Amine Ben Haj Ali, and Azzeddine Soulaimani. "A positivity preserving finite element–finite volume solver for the Spalart–Allmaras turbulence model." Computer Methods in Applied Mechanics and Engineering 196, no. 17-20 (2007): 2097–116. http://dx.doi.org/10.1016/j.cma.2006.10.009.

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21

QU, KUN, CHANG SHU, and JINSHENG CAI. "DEVELOPING LBM-BASED FLUX SOLVER AND ITS APPLICATIONS IN MULTI-DIMENSION SIMULATIONS." International Journal of Modern Physics: Conference Series 19 (January 2012): 90–99. http://dx.doi.org/10.1142/s2010194512008628.

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In this paper, a new flux solver was developed based on a lattice Boltzmann model. Different from solving discrete velocity Boltzmann equation and lattice Boltzmann equation, Euler/Navier-Stokes (NS) equations were solved in this approach, and the flux at the interface was evaluated with a compressible lattice Boltzmann model. This method combined lattice Boltzmann method with finite volume method to solve Euler/NS equations. The proposed approach was validated by some simulations of one-dimensional and multi-dimensional problems.

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22

Deepu, M., M. P. Dhrishit, and S. Shyji. "Numerical simulation of high speed reacting shear layers using AUSM+- up scheme-based unstructured finite volume method solver." International Journal of Modeling, Simulation, and Scientific Computing 08, no. 03 (2017): 1750020. http://dx.doi.org/10.1142/s1793962317500209.

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Development of an Advection Upstream Splitting Method (AUSM[Formula: see text]-up) scheme-based Unstructured Finite Volume (UFVM) solver for the simulation of two-dimensional axisymmetric/planar high speed compressible turbulent reacting shear layers is presented. The inviscid numerical flux is evaluated using AUSM[Formula: see text]-up upwind scheme. An eight-step hydrogen–oxygen finite rate chemistry model is used to model the development of chemical species in a supersonic reacting flow field. The chemical species terms are alone solved implicitly in this explicit flow solver by rescaling t

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23

Tasri, Adek. "Accuracy of Cell-Centre Derivation of Unstructured-Mesh Finite Volume Solver." International Journal of Engineering Trends and Technology 70, no. 8 (2022): 166–71. http://dx.doi.org/10.14445/22315381/ijett-v70i8p217.

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24

Jalali, Alireza, Mahkame Sharbatdar, and Carl Ollivier-Gooch. "An efficient implicit unstructured finite volume solver for generalised Newtonian fluids." International Journal of Computational Fluid Dynamics 30, no. 3 (2016): 201–17. http://dx.doi.org/10.1080/10618562.2016.1188202.

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25

Aguirre, Miquel, Antonio J. Gil, Javier Bonet, and Chun Hean Lee. "An upwind vertex centred Finite Volume solver for Lagrangian solid dynamics." Journal of Computational Physics 300 (November 2015): 387–422. http://dx.doi.org/10.1016/j.jcp.2015.07.029.

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26

Vacondio, R., A. Dal Palù, and P. Mignosa. "GPU-enhanced Finite Volume Shallow Water solver for fast flood simulations." Environmental Modelling & Software 57 (July 2014): 60–75. http://dx.doi.org/10.1016/j.envsoft.2014.02.003.

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27

Braeunig, J. P., B. Desjardins, and J. M. Ghidaglia. "A totally Eulerian finite volume solver for multi-material fluid flows." European Journal of Mechanics - B/Fluids 28, no. 4 (2009): 475–85. http://dx.doi.org/10.1016/j.euromechflu.2009.03.003.

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28

Singh, J. P. "Accelerated and robust finite volume Navier-Stokes solver for all speeds." Sadhana 24, no. 1-2 (1999): 121–45. http://dx.doi.org/10.1007/bf02747555.

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29

Tu, Shuangzhang, and Shahrouz Aliabadi. "Development of a hybrid finite volume/element solver for incompressible flows." International Journal for Numerical Methods in Fluids 55, no. 2 (2007): 177–203. http://dx.doi.org/10.1002/fld.1454.

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30

Kurganov, Alexander. "Finite-volume schemes for shallow-water equations." Acta Numerica 27 (May 1, 2018): 289–351. http://dx.doi.org/10.1017/s0962492918000028.

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Shallow-water equations are widely used to model water flow in rivers, lakes, reservoirs, coastal areas, and other situations in which the water depth is much smaller than the horizontal length scale of motion. The classical shallow-water equations, the Saint-Venant system, were originally proposed about 150 years ago and still are used in a variety of applications. For many practical purposes, it is extremely important to have an accurate, efficient and robust numerical solver for the Saint-Venant system and related models. As their solutions are typically non-smooth and even discontinuous, f

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31

Zhao, Di. "Quick finite volume solver for incompressible Navier-Stokes equation by parallel Gram-Schmidt process based GMRES and HSS." Engineering Computations 32, no. 5 (2015): 1460–76. http://dx.doi.org/10.1108/ec-02-2014-0032.

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Purpose – The purpose of this paper is to develop Triple Finite Volume Method (tFVM), the author discretizes incompressible Navier-Stokes equation by tFVM, which leads to a special linear system of saddle point problem, and most computational efforts for solving the linear system are invested on the linear solver GMRES. Design/methodology/approach – In this paper, by recently developed preconditioner Hermitian/Skew-Hermitian Separation (HSS) and the parallel implementation of GMRES, the author develops a quick solver, HSS-pGMRES-tFVM, for fast solving incompressible Navier-Stokes equation. Fin

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32

El-Beltagy, Mohamed A., and Mohamed I. Wafa. "Stochastic 2D Incompressible Navier-Stokes Solver Using the Vorticity-Stream Function Formulation." Journal of Applied Mathematics 2013 (2013): 1–14. http://dx.doi.org/10.1155/2013/903618.

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A two-dimensional stochastic solver for the incompressible Navier-Stokes equations is developed. The vorticity-stream function formulation is considered. The polynomial chaos expansion was integrated with an unstructured node-centered finite-volume solver. A second-order upwind scheme is used in the convection term for numerical stability and higher-order discretization. The resulting sparse linear system is solved efficiently by a direct parallel solver. The mean and variance simulations of the cavity flow are done for random variation of the viscosity and the lid velocity. The solver was tes

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33

Wagner, Simon, Manuel Münsch, and Antonio Delgado. "An Integrated OpenFOAM Membrane Fluid-Structure Interaction Solver." OpenFOAM® Journal 2 (March 4, 2022): 48–61. http://dx.doi.org/10.51560/ofj.v2.45.

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The scope of this paper is to present the design and verification of an integrated OpenFOAM membrane fluid-structure interaction (FSI) solver for small deflections, which employs the finite volume method (FVM) for solving the flow field and the finite area method (FAM) for solution of the membrane deflection. A key feature is that both the fluid and the solid solver operate on a common mesh geometry and are included into a single executable. Although the scope of applicability is narrow due to limitations of the membrane solver at its current state, positive verification results prove the prac

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34

Danaila, Sterian, Delia Teleaga, and Luiza Zavalan. "Finite Volume Particle Method for Incompressible Flows." Applied Mechanics and Materials 656 (October 2014): 72–80. http://dx.doi.org/10.4028/www.scientific.net/amm.656.72.

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This paper presents an application of the Finite Volume Particle Method to incompressible flows. The two-dimensional incompressible Navier-Stokes solver is based on Chorin’s projection method with finite volume particle discretization. The Finite Volume Particle Method is a meshless method for fluid dynamics which unifies advantages of particle methods and finite volume methods in one scheme. The method of manufactured solutions is used to examine the global discretization error and finally a comparison between finite volume particle method simulations of an incompressible flow around a fixed

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35

Guermond, Jean-Luc, Christian Klingenberg, Bojan Popov, and Ignacio Tomas. "The Suliciu approximate Riemann solver is not invariant domain preserving." Journal of Hyperbolic Differential Equations 16, no. 01 (2019): 59–72. http://dx.doi.org/10.1142/s0219891619500036.

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36

Grosjean, Elise, and Yvon Maday. "Error estimate of the non-intrusive reduced basis method with finite volume schemes." ESAIM: Mathematical Modelling and Numerical Analysis 55, no. 5 (2021): 1941–61. http://dx.doi.org/10.1051/m2an/2021044.

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The context of this paper is the simulation of parameter-dependent partial differential equations (PDEs). When the aim is to solve such PDEs for a large number of parameter values, Reduced Basis Methods (RBM) are often used to reduce computational costs of a classical high fidelity code based on Finite Element Method (FEM), Finite Volume (FVM) or Spectral methods. The efficient implementation of most of these RBM requires to modify this high fidelity code, which cannot be done, for example in an industrial context if the high fidelity code is only accessible as a "black-box" solver. The Non-In

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37

Johnson, Perry L., Jared M. Pent, Hrvoje Jasak, and J. Enrique Portillo. "Application of a Riemann Solver Unstructured Finite Volume Method to Combustion Instabilities." Journal of Propulsion and Power 31, no. 3 (2015): 937–50. http://dx.doi.org/10.2514/1.b35539.

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38

Tasri, Adek, and Anita Susilawati. "Accuracy of compact-stencil interpolation algorithms for unstructured mesh finite volume solver." Heliyon 7, no. 4 (2021): e06875. http://dx.doi.org/10.1016/j.heliyon.2021.e06875.

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39

van der Velden, W. C. P., J. T. Akhnoukh, and A. H. van Zuijlen. "Low-Order Finite-Volume Based Riemann Solver for Application to Aeroacoustic Problems." Journal of Computational Acoustics 25, no. 03 (2017): 1750010. http://dx.doi.org/10.1142/s0218396x17500102.

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The current study focuses on the development of a three-dimensional flow and aeroacoustic solver developed in a finite-volume framework which uses similar, dense meshes for both flow and acoustics while using low-order schemes from the finite volume framework to minimize the points per wavelength, overcomes interpolation errors between flow and acoustic meshes, since one-to-one mesh mapping will be applied, minimize the computational time for the acoustic loop with respect to the fluid flow loop and provides a practical, easy to use integrated numerical tool. As dispersion errors are common wi

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40

Darwish, M., A. Abdel Aziz, and F. Moukalled. "A Coupled Pressure-Based Finite-Volume Solver for Incompressible Two-Phase Flow." Numerical Heat Transfer, Part B: Fundamentals 67, no. 1 (2014): 47–74. http://dx.doi.org/10.1080/10407790.2014.949500.

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41

Pimenta, F., and M. A. Alves. "Stabilization of an open-source finite-volume solver for viscoelastic fluid flows." Journal of Non-Newtonian Fluid Mechanics 239 (January 2017): 85–104. http://dx.doi.org/10.1016/j.jnnfm.2016.12.002.

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42

Cardiff, P., A. Karač, and A. Ivanković. "Development of a finite volume contact solver based on the penalty method." Computational Materials Science 64 (November 2012): 283–84. http://dx.doi.org/10.1016/j.commatsci.2012.03.011.

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43

Clair, G., J. M. Ghidaglia, and J. P. Perlat. "A multi-dimensional finite volume cell-centered direct ALE solver for hydrodynamics." Journal of Computational Physics 326 (December 2016): 312–33. http://dx.doi.org/10.1016/j.jcp.2016.08.050.

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44

Fainberg, J., and H. J. Leister. "Finite volume multigrid solver for thermo-elastic stress analysis in anisotropic materials." Computer Methods in Applied Mechanics and Engineering 137, no. 2 (1996): 167–74. http://dx.doi.org/10.1016/s0045-7825(96)01063-8.

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45

Dong, Haibo, Fan Zhang, Chunguang Xu, and Jun Liu. "An improved uncoupled finite volume solver for simulating unsteady shock-induced combustion." Computers & Fluids 167 (May 2018): 146–57. http://dx.doi.org/10.1016/j.compfluid.2018.03.001.

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46

Pimenta, F., and M. A. Alves. "A coupled finite-volume solver for numerical simulation of electrically-driven flows." Computers & Fluids 193 (October 2019): 104279. http://dx.doi.org/10.1016/j.compfluid.2019.104279.

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47

Mohsen Karimian, S. A., and Anthony G. Straatman. "Discretization and parallel performance of an unstructured finite volume Navier–Stokes solver." International Journal for Numerical Methods in Fluids 52, no. 6 (2006): 591–615. http://dx.doi.org/10.1002/fld.1189.

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48

Wang, Yuan, Xueshang Feng, Yufen Zhou, and Xinbiao Gan. "A multi-GPU finite volume solver for magnetohydrodynamics-based solar wind simulations." Computer Physics Communications 238 (May 2019): 181–93. http://dx.doi.org/10.1016/j.cpc.2018.12.003.

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49

Sharbatdar, Mahkame, and Carl Ollivier-Gooch. "Mesh adaptation usingC1interpolation of the solution in an unstructured finite volume solver." International Journal for Numerical Methods in Fluids 86, no. 10 (2017): 637–54. http://dx.doi.org/10.1002/fld.4471.

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50

Studer, Léo, Sylvain Detrembleur, Benjamin J. Dewals, Michel Pirotton, and Anne Marie Habraken. "Modeling the Vertical Spincasting of Large Bimetallic Rolling Mill Rolls." Key Engineering Materials 443 (June 2010): 15–20. http://dx.doi.org/10.4028/www.scientific.net/kem.443.15.

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In order to take into account the dynamic effects of molten metal during solidification, a methodology is presented to interface a metal solidification solver (coupled thermal mechanical metallurgical finite elements solver) with a specifically developed flow dynamics solver. (flow dynamics and thermics finite volume solver) The numerical set of tools is designed to be used for the simulation of bimetallic hot rolling mill rolls vertical spincasting. Modeling the industrial process for these products imply certain specifications on the numerical methods used, mainly due to the size of the geom

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