A second-order positivity-preserving well-balanced finite volume scheme for Euler equations with gravity for arbitrary hydrostatic equilibria

Andrea Thomann; Markus Zenk; Christian Klingenberg

doi:10.1002/fld.4703

A second-order positivity-preserving well-balanced finite volume scheme for Euler equations with gravity for arbitrary hydrostatic equilibria

International Journal for Numerical Methods in Fluids ◽

10.1002/fld.4703 ◽

2019 ◽

Vol 89 (11) ◽

pp. 465-482 ◽

Cited By ~ 4

Author(s):

Andrea Thomann ◽

Markus Zenk ◽

Christian Klingenberg

Keyword(s):

Euler Equations ◽

Finite Volume ◽

Second Order ◽

Finite Volume Scheme ◽

Positivity Preserving ◽

Volume Scheme

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A Second-Order Positivity-Preserving Finite Volume Scheme for Diffusion Equations on General Meshes

SIAM Journal on Scientific Computing ◽

10.1137/140972470 ◽

2015 ◽

Vol 37 (1) ◽

pp. A420-A438 ◽

Cited By ~ 22

Author(s):

Zhiming Gao ◽

Jiming Wu

Keyword(s):

Finite Volume ◽

Second Order ◽

Diffusion Equations ◽

Finite Volume Scheme ◽

Positivity Preserving ◽

Volume Scheme ◽

General Meshes

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A second-order, discretely well-balanced finite volume scheme for euler equations with gravity

Computers & Fluids ◽

10.1016/j.compfluid.2019.02.003 ◽

2019 ◽

Vol 181 ◽

pp. 292-313 ◽

Cited By ~ 4

Author(s):

Deepak Varma ◽

Praveen Chandrashekar

Keyword(s):

Euler Equations ◽

Finite Volume ◽

Second Order ◽

Finite Volume Scheme ◽

Volume Scheme

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A Second-Order Finite-Volume Scheme for Euler Equations: Kinetic Energy Preserving and Staggering Effects

Journal of Scientific Computing ◽

10.1007/s10915-016-0295-5 ◽

2016 ◽

Vol 71 (1) ◽

pp. 166-194

Author(s):

Andrea Perrotta ◽

Bernardo Favini

Keyword(s):

Kinetic Energy ◽

Euler Equations ◽

Finite Volume ◽

Second Order ◽

Finite Volume Scheme ◽

Volume Scheme ◽

Kinetic Energy Preserving

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Towards a Vorticity Preserving Second Order Finite Volume Scheme Solving the Euler Equations

17th AIAA Computational Fluid Dynamics Conference ◽

10.2514/6.2005-5235 ◽

2005 ◽

Author(s):

Farzad Ismail ◽

Philip Roe

Keyword(s):

Euler Equations ◽

Finite Volume ◽

Second Order ◽

Finite Volume Scheme ◽

Volume Scheme

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A Second Order Well-Balanced Finite Volume Scheme for Euler Equations with Gravity

SIAM Journal on Scientific Computing ◽

10.1137/140984373 ◽

2015 ◽

Vol 37 (3) ◽

pp. B382-B402 ◽

Cited By ~ 36

Author(s):

Praveen Chandrashekar ◽

Christian Klingenberg

Keyword(s):

Euler Equations ◽

Finite Volume ◽

Second Order ◽

Finite Volume Scheme ◽

Volume Scheme

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Second Order Finite Volume Scheme for Euler Equations with Gravity which is Well-Balanced for General Equations of State and Grid Systems

Communications in Computational Physics ◽

10.4208/cicp.oa-2018-0152 ◽

2019 ◽

Vol 26 (2) ◽

pp. 599-630 ◽

Cited By ~ 1

Author(s):

Jonas P. Berberich

Keyword(s):

Euler Equations ◽

Finite Volume ◽

Equations Of State ◽

Second Order ◽

Finite Volume Scheme ◽

Grid Systems ◽

Volume Scheme

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An Efficient Positivity-Preserving Finite Volume Scheme for the Nonequilibrium Three-Temperature Radiation Diffusion Equations on Polygonal Meshes

Communications in Computational Physics ◽

10.4208/cicp.oa-2020-0088 ◽

2021 ◽

Vol 30 (2) ◽

pp. 448-485

Author(s):

Shuai Su

Keyword(s):

Finite Volume ◽

Diffusion Equations ◽

Finite Volume Scheme ◽

Positivity Preserving ◽

Polygonal Meshes ◽

Radiation Diffusion ◽

Volume Scheme ◽

Temperature Radiation

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A Positivity-Preserving Finite Volume Scheme with Least Square Interpolation for 3D Anisotropic Diffusion Equation

Journal of Scientific Computing ◽

10.1007/s10915-021-01629-2 ◽

2021 ◽

Vol 89 (3) ◽

Author(s):

Hui Xie ◽

Xuejun Xu ◽

Chuanlei Zhai ◽

Heng Yong

Keyword(s):

Diffusion Equation ◽

Finite Volume ◽

Anisotropic Diffusion ◽

Least Square ◽

Finite Volume Scheme ◽

Positivity Preserving ◽

Volume Scheme ◽

Anisotropic Diffusion Equation

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A high-resolution TVD finite volume scheme for the Euler equations in conservation form

Journal of Computational Physics ◽

10.1016/0021-9991(89)90186-1 ◽

1989 ◽

Vol 84 (1) ◽

pp. 145-173 ◽

Cited By ~ 32

Author(s):

J.C.T. Wang ◽

G.F. Widhopf

Keyword(s):

High Resolution ◽

Euler Equations ◽

Finite Volume ◽

Finite Volume Scheme ◽

Volume Scheme

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A decoupled and positivity-preserving discrete duality finite volume scheme for anisotropic diffusion problems on general polygonal meshes

Journal of Computational Physics ◽

10.1016/j.jcp.2018.06.052 ◽

2018 ◽

Vol 372 ◽

pp. 773-798 ◽

Cited By ~ 4

Author(s):

Shuai Su ◽

Qiannan Dong ◽

Jiming Wu

Keyword(s):

Finite Volume ◽

Anisotropic Diffusion ◽

Finite Volume Scheme ◽

Positivity Preserving ◽

Polygonal Meshes ◽

Volume Scheme ◽

Diffusion Problems

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