Gas-kinetic schemes for the compressible Euler equations: Positivity-preserving analysis

T. Tao; K. Xu

doi:10.1007/s000330050150

Gas-kinetic schemes for the compressible Euler equations: Positivity-preserving analysis

Zeitschrift für angewandte Mathematik und Physik ◽

10.1007/s000330050150 ◽

1999 ◽

Vol 50 (2) ◽

pp. 258 ◽

Cited By ~ 26

Author(s):

T. Tao ◽

K. Xu

Keyword(s):

Euler Equations ◽

Compressible Euler Equations ◽

Positivity Preserving ◽

Kinetic Schemes ◽

Compressible Euler

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High-Order Positivity-Preserving Kinetic Schemes for the Compressible Euler Equations

SIAM Journal on Numerical Analysis ◽

10.1137/s0036142994271009 ◽

1996 ◽

Vol 33 (5) ◽

pp. 2050-2067 ◽

Cited By ~ 23

Author(s):

J. L. Estivalezes ◽

P. Villedieu

Keyword(s):

Euler Equations ◽

High Order ◽

Compressible Euler Equations ◽

Positivity Preserving ◽

Kinetic Schemes ◽

Compressible Euler

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A new second order positivity preserving kinetic schemes for the compressible Euler equations

Lecture Notes in Physics - Fourteenth International Conference on Numerical Methods in Fluid Dynamics ◽

10.1007/3-540-59280-6_103 ◽

2008 ◽

pp. 96-100 ◽

Cited By ~ 2

Author(s):

Jean-Luc Estivalezes ◽

Philippe Villedieu

Keyword(s):

Euler Equations ◽

Second Order ◽

Compressible Euler Equations ◽

Positivity Preserving ◽

Kinetic Schemes ◽

Compressible Euler

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Reprint of: Positivity-preserving and symmetry-preserving Lagrangian schemes for compressible Euler equations in cylindrical coordinates

Computers & Fluids ◽

10.1016/j.compfluid.2018.03.049 ◽

2018 ◽

Vol 169 ◽

pp. 230-248

Author(s):

Dan Ling ◽

Juan Cheng ◽

Chi-Wang Shu

Keyword(s):

Euler Equations ◽

Compressible Euler Equations ◽

Cylindrical Coordinates ◽

Positivity Preserving ◽

Compressible Euler

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Positivity-preserving high order finite difference WENO schemes for compressible Euler equations

Journal of Computational Physics ◽

10.1016/j.jcp.2011.11.020 ◽

2012 ◽

Vol 231 (5) ◽

pp. 2245-2258 ◽

Cited By ~ 93

Author(s):

Xiangxiong Zhang ◽

Chi-Wang Shu

Keyword(s):

Finite Difference ◽

Euler Equations ◽

High Order ◽

Compressible Euler Equations ◽

Positivity Preserving ◽

Weno Schemes ◽

Compressible Euler ◽

Finite Difference Weno Schemes ◽

High Order Finite Difference

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Positivity-Preserving High Order Finite Volume HWENO Schemes for Compressible Euler Equations

Journal of Scientific Computing ◽

10.1007/s10915-015-0147-8 ◽

2015 ◽

Vol 68 (2) ◽

pp. 464-483 ◽

Cited By ~ 7

Author(s):

Xiaofeng Cai ◽

Xiangxiong Zhang ◽

Jianxian Qiu

Keyword(s):

Euler Equations ◽

Finite Volume ◽

High Order ◽

Compressible Euler Equations ◽

Positivity Preserving ◽

Compressible Euler

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Positivity-preserving High Order Finite Difference WENO Schemes for Compressible Euler Equations

10.21236/ada557715 ◽

2011 ◽

Cited By ~ 1

Author(s):

Xiangxiong Zhang ◽

Chi-Wang Shu

Keyword(s):

Finite Difference ◽

Euler Equations ◽

High Order ◽

Compressible Euler Equations ◽

Positivity Preserving ◽

Weno Schemes ◽

Compressible Euler ◽

Finite Difference Weno Schemes ◽

High Order Finite Difference

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Positivity-preserving high order discontinuous Galerkin schemes for compressible Euler equations with source terms

Journal of Computational Physics ◽

10.1016/j.jcp.2010.10.036 ◽

2011 ◽

Vol 230 (4) ◽

pp. 1238-1248 ◽

Cited By ~ 89

Author(s):

Xiangxiong Zhang ◽

Chi-Wang Shu

Keyword(s):

Euler Equations ◽

Discontinuous Galerkin ◽

High Order ◽

Compressible Euler Equations ◽

Source Terms ◽

Positivity Preserving ◽

Compressible Euler

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An Explicit High-Order Single-Stage Single-Step Positivity-Preserving Finite Difference WENO Method for the Compressible Euler Equations

Journal of Scientific Computing ◽

10.1007/s10915-015-0134-0 ◽

2015 ◽

Vol 68 (1) ◽

pp. 171-190 ◽

Cited By ~ 8

Author(s):

David C. Seal ◽

Qi Tang ◽

Zhengfu Xu ◽

Andrew J. Christlieb

Keyword(s):

Finite Difference ◽

Euler Equations ◽

Single Step ◽

High Order ◽

Single Stage ◽

Compressible Euler Equations ◽

Positivity Preserving ◽

Compressible Euler

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Positivity-preserving method for high-order conservative schemes solving compressible Euler equations

Journal of Computational Physics ◽

10.1016/j.jcp.2013.01.024 ◽

2013 ◽

Vol 242 ◽

pp. 169-180 ◽

Cited By ~ 91

Author(s):

Xiangyu Y. Hu ◽

Nikolaus A. Adams ◽

Chi-Wang Shu

Keyword(s):

Euler Equations ◽

High Order ◽

Compressible Euler Equations ◽

Positivity Preserving ◽

Conservative Schemes ◽

Compressible Euler

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Positivity-preserving and symmetry-preserving Lagrangian schemes for compressible Euler equations in cylindrical coordinates

Computers & Fluids ◽

10.1016/j.compfluid.2017.08.029 ◽

2017 ◽

Vol 157 ◽

pp. 112-130 ◽

Cited By ~ 4

Author(s):

Dan Ling ◽

Juan Cheng ◽

Chi-Wang Shu

Keyword(s):

Euler Equations ◽

Compressible Euler Equations ◽

Cylindrical Coordinates ◽

Positivity Preserving ◽

Compressible Euler

Download Full-text