Finite volume solvers and Moving Least-Squares approximations for the compressible Navier–Stokes equations on unstructured grids

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2007.06.003 ◽

2007 ◽

Vol 196 (45-48) ◽

pp. 4712-4736 ◽

Author(s):

Luis Cueto-Felgueroso ◽

Ignasi Colominas ◽

Xesús Nogueira ◽

Fermín Navarrina ◽

Manuel Casteleiro

Keyword(s):

Least Squares ◽

Finite Volume ◽

Stokes Equations ◽

Unstructured Grids ◽

Navier Stokes ◽

Moving Least Squares ◽

Navier Stokes Equations

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A new higher-order finite volume method based on Moving Least Squares for the resolution of the incompressible Navier–Stokes equations on unstructured grids

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2014.06.028 ◽

2014 ◽

Vol 278 ◽

pp. 883-901 ◽

Author(s):

Luis Ramírez ◽

Xesús Nogueira ◽

Sofiane Khelladi ◽

Jean-Camille Chassaing ◽

Ignasi Colominas

Keyword(s):

Least Squares ◽

Finite Volume Method ◽

Finite Volume ◽

Stokes Equations ◽

Unstructured Grids ◽

Higher Order ◽

Navier Stokes ◽

Moving Least Squares ◽

Navier Stokes Equations ◽

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Hyperbolic cell-centered finite volume method for steady incompressible Navier-Stokes equations on unstructured grids

Computers & Fluids ◽

10.1016/j.compfluid.2020.104434 ◽

2020 ◽

Vol 200 ◽

pp. 104434

Author(s):

Hyung Taek Ahn

Keyword(s):

Finite Volume Method ◽

Finite Volume ◽

Stokes Equations ◽

Unstructured Grids ◽

Navier Stokes ◽

Navier Stokes Equations ◽

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Quadrature-Free Non-Oscillation Finite Volume Scheme for Solving Navier-Stokes Equations on Unstructured grids

10.1063/1.3652000 ◽

2011 ◽

Author(s):

W. A. Li ◽

Y. X. Ren ◽

Jiachun Li ◽

Song Fu

Keyword(s):

Finite Volume ◽

Stokes Equations ◽

Unstructured Grids ◽

Navier Stokes ◽

Finite Volume Scheme ◽

Navier Stokes Equations ◽

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A superlinearly convergent finite volume method for the incompressible Navier–Stokes equations on staggered unstructured grids

Journal of Computational Physics ◽

10.1016/j.jcp.2004.01.005 ◽

2004 ◽

Vol 198 (1) ◽

pp. 159-177 ◽

Author(s):

D. Vidović ◽

A. Segal ◽

P. Wesseling

Keyword(s):

Finite Volume Method ◽

Finite Volume ◽

Stokes Equations ◽

Unstructured Grids ◽

Navier Stokes ◽

Navier Stokes Equations ◽

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A Mixed Finite Volume/Finite Element Method for 2-dimensional Compressible Navier-Stokes Equations on Unstructured Grids

Hyperbolic Problems: Theory, Numerics, Applications ◽

10.1007/978-3-0348-8720-5_2 ◽

1999 ◽

pp. 11-20 ◽

Author(s):

Paul Arminjon ◽

Aziz Madrane

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Finite Volume ◽

Stokes Equations ◽

Unstructured Grids ◽

Navier Stokes ◽

Navier Stokes Equations ◽

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The Multi-Moment Finite Volume Solver for Incompressible Navier-Stokes Equations on Unstructured Grids

Advances in Computational Fluid-Structure Interaction and Flow Simulation - Modeling and Simulation in Science, Engineering and Technology ◽

10.1007/978-3-319-40827-9_8 ◽

2016 ◽

pp. 97-109

Author(s):

Bin Xie ◽

Feng Xiao

Keyword(s):

Finite Volume ◽

Stokes Equations ◽

Unstructured Grids ◽

Navier Stokes ◽

Navier Stokes Equations

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An efficient high-order least square-based finite difference-finite volume method for solution of compressible Navier-Stokes equations on unstructured grids

Computers & Fluids ◽

10.1016/j.compfluid.2021.104926 ◽

2021 ◽

Vol 222 ◽

pp. 104926

Author(s):

Y.Y. Liu ◽

C. Shu ◽

H.W. Zhang ◽

L.M. Yang ◽

Cunbiao Lee

Keyword(s):

Finite Difference ◽

Finite Volume Method ◽

Finite Volume ◽

Stokes Equations ◽

Unstructured Grids ◽

Least Square ◽

Navier Stokes ◽

Navier Stokes Equations ◽

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A multi-moment finite volume method for incompressible Navier–Stokes equations on unstructured grids: Volume-average/point-value formulation

Journal of Computational Physics ◽

10.1016/j.jcp.2014.08.011 ◽

2014 ◽

Vol 277 ◽

pp. 138-162 ◽

Author(s):

Bin Xie ◽

Satoshi Ii ◽

Akio Ikebata ◽

Feng Xiao

Keyword(s):

Finite Volume Method ◽

Finite Volume ◽

Stokes Equations ◽

Unstructured Grids ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Volume Average ◽

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Two and three dimensional multi-moment finite volume solver for incompressible Navier–Stokes equations on unstructured grids with arbitrary quadrilateral and hexahedral elements

Computers & Fluids ◽

10.1016/j.compfluid.2014.08.002 ◽

2014 ◽

Vol 104 ◽

pp. 40-54 ◽

Author(s):

Bin Xie ◽

Feng Xiao

Keyword(s):

Finite Volume ◽

Stokes Equations ◽

Unstructured Grids ◽

Three Dimensional ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Hexahedral Elements

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DiscretizationNet: A machine-learning based solver for Navier–Stokes equations using finite volume discretization

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2021.113722 ◽

2021 ◽

Vol 378 ◽

pp. 113722

Author(s):

Rishikesh Ranade ◽

Chris Hill ◽

Jay Pathak

Keyword(s):

Machine Learning ◽

Finite Volume ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Finite Volume Discretization

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