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

Andrea Perrotta; Bernardo Favini

doi:10.1007/s10915-016-0295-5

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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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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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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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 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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Characteristic-based finite volume scheme for 1D Euler equations

Applied Mathematics and Mechanics ◽

10.1007/s10483-009-0304-6 ◽

2009 ◽

Vol 30 (3) ◽

pp. 303-312

Author(s):

Yan Guo ◽

Ru-xun Liu

Keyword(s):

Euler Equations ◽

Finite Volume ◽

Finite Volume Scheme ◽

Volume Scheme

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Second order finite volume scheme on structured meshes for Maxwell's equations with discontinuous dielectric permittivity

Proceedings of the International Conference Days on Diffraction 2014 ◽

10.1109/dd.2014.7036434 ◽

2014 ◽

Author(s):

Timur Z. Ismagilov

Keyword(s):

Dielectric Permittivity ◽

Finite Volume ◽

Maxwell’S Equations ◽

Maxwell's Equations ◽

Second Order ◽

Finite Volume Scheme ◽

Volume Scheme ◽

Structured Meshes

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Second Order Finite Volume Scheme on Tetrahedral Meshes for Three-Dimensional Maxwell’s Equations with Discontinuous Dielectric Permittivity

EPJ Web of Conferences ◽

10.1051/epjconf/201610802030 ◽

2016 ◽

Vol 108 ◽

pp. 02030

Author(s):

Timur Z. Ismagilov

Keyword(s):

Dielectric Permittivity ◽

Finite Volume ◽

Maxwell’S Equations ◽

Maxwell's Equations ◽

Three Dimensional ◽

Second Order ◽

Finite Volume Scheme ◽

Volume Scheme ◽

Tetrahedral Meshes

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A Very High-Order Accurate Staggered Finite Volume Scheme for the Stationary Incompressible Navier–Stokes and Euler Equations on Unstructured Meshes

Journal of Scientific Computing ◽

10.1007/s10915-016-0348-9 ◽

2017 ◽

Vol 71 (3) ◽

pp. 1375-1411 ◽

Cited By ~ 2

Author(s):

Ricardo Costa ◽

Stéphane Clain ◽

Gaspar J. Machado ◽

Raphaël Loubère

Keyword(s):

Euler Equations ◽

Finite Volume ◽

Unstructured Meshes ◽

High Order ◽

Navier Stokes ◽

Finite Volume Scheme ◽

Volume Scheme ◽

Very High

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