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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Estimate of the truncation error of finite volume discretization of the Navier-Stokes equations on colocated grids

International Journal for Numerical Methods in Fluids ◽

10.1002/fld.1038 ◽

2005 ◽

Vol 50 (1) ◽

pp. 103-130 ◽

Cited By ~ 19

Author(s):

Alexandros Syrakos ◽

Apostolos Goulas

Keyword(s):

Finite Volume ◽

Truncation Error ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Finite Volume Discretization

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Finite volume discretization of heat equation and compressible Navier–Stokes equations with weak Dirichlet boundary condition on triangular grids

International Journal of Advances in Engineering Sciences and Applied Mathematics ◽

10.1007/s12572-015-0160-z ◽

2016 ◽

Vol 8 (3) ◽

pp. 174-193 ◽

Cited By ~ 1

Author(s):

Praveen Chandrashekar

Keyword(s):

Boundary Condition ◽

Heat Equation ◽

Finite Volume ◽

Dirichlet Boundary Condition ◽

Dirichlet Boundary ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Triangular Grids ◽

Finite Volume Discretization

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A Finite Volume Discretization with Improved Accuracy for the Compressible Navier-Stokes Equations

Numerical Treatment of the Navier-Stokes Equations ◽

10.1007/978-3-663-14004-7_5 ◽

1990 ◽

pp. 47-61

Author(s):

Mart Borsboom

Keyword(s):

Finite Volume ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Finite Volume Discretization ◽

Improved Accuracy

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Analysis and application of high order implicit Runge–Kutta schemes to collocated finite volume discretization of the incompressible Navier–Stokes equations

Computers & Fluids ◽

10.1016/j.compfluid.2014.11.025 ◽

2015 ◽

Vol 108 ◽

pp. 107-115 ◽

Cited By ~ 6

Author(s):

V. Kazemi-Kamyab ◽

A.H. van Zuijlen ◽

H. Bijl

Keyword(s):

Finite Volume ◽

Stokes Equations ◽

High Order ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Finite Volume Discretization ◽

Runge Kutta

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Unstructured-grid finite-volume discretization of the Navier-Stokes equations based on high-resolution difference schemes

Computational Mathematics and Mathematical Physics ◽

10.1134/s0965542508070105 ◽

2008 ◽

Vol 48 (7) ◽

pp. 1181-1202 ◽

Cited By ~ 6

Author(s):

K. N. Volkov

Keyword(s):

High Resolution ◽

Finite Volume ◽

Unstructured Grid ◽

Stokes Equations ◽

Difference Schemes ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Finite Volume Discretization

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SIMPLE-type preconditioners for cell-centered, colocated finite volume discretization of incompressible Reynolds-averaged Navier-Stokes equations

International Journal for Numerical Methods in Fluids ◽

10.1002/fld.3686 ◽

2012 ◽

Vol 71 (7) ◽

pp. 830-849 ◽

Cited By ~ 25

Author(s):

C. M. Klaij ◽

C. Vuik

Keyword(s):

Finite Volume ◽

Stokes Equations ◽

Navier Stokes ◽

Simple Type ◽

Navier Stokes Equations ◽

Finite Volume Discretization ◽

Reynolds Averaged Navier Stokes

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Numerical Results for a Discrete Duality Finite Volume Discretization Applied to the Navier–Stokes Equations

Springer Proceedings in Mathematics & Statistics - Finite Volumes for Complex Applications VIII - Methods and Theoretical Aspects ◽

10.1007/978-3-319-57397-7_10 ◽

2017 ◽

pp. 141-161 ◽

Cited By ~ 1

Author(s):

Sarah Delcourte ◽

Pascal Omnes

Keyword(s):

Finite Volume ◽

Stokes Equations ◽

Numerical Results ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Finite Volume Discretization

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A zonal approach for solving the compressible Navier-Stokes equations using a TVD finite volume method.

TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series B ◽

10.1299/kikaib.56.609 ◽

1990 ◽

Vol 56 (523) ◽

pp. 609-617

Author(s):

Masato FURUKAWA ◽

Masao YAMASAKI ◽

Masahiro INOUE

Keyword(s):

Finite Volume Method ◽

Finite Volume ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Volume Method

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A fully 3D finite volume method for incompressible Navier–Stokes equations

International Journal for Numerical Methods in Fluids ◽

10.1002/fld.1190 ◽

2006 ◽

Vol 52 (6) ◽

pp. 617-638 ◽

Cited By ~ 7

Author(s):

Alberto Deponti ◽

Vincenzo Pennati ◽

Lucia De Biase

Keyword(s):

Finite Volume Method ◽

Finite Volume ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Volume Method

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Newton linearization of the Navier–Stokes equations for flow computations using a fully coupled finite volume method

Applied Mathematics and Computation ◽

10.1016/j.amc.2020.125916 ◽

2021 ◽

Vol 397 ◽

pp. 125916

Author(s):

Masoud Mohammadi ◽

Shidvash Vakilipour ◽

Scott Ormiston

Keyword(s):

Finite Volume Method ◽

Finite Volume ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Volume Method ◽

Fully Coupled

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