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 ◽

Author(s):

David C. Seal ◽

Qi Tang ◽

Zhengfu Xu ◽

Andrew J. Christlieb

Keyword(s):

Finite Difference ◽

Euler Equations ◽

Single Step ◽

Single Stage ◽

Compressible Euler Equations ◽

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 ◽

Author(s):

Xiangxiong Zhang ◽

Chi-Wang Shu

Keyword(s):

Finite Difference ◽

Euler Equations ◽

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 Difference WENO Schemes for Compressible Euler Equations

10.21236/ada557715 ◽

2011 ◽

Author(s):

Xiangxiong Zhang ◽

Chi-Wang Shu

Keyword(s):

Finite Difference ◽

Euler Equations ◽

Compressible Euler Equations ◽

Positivity Preserving ◽

Weno Schemes ◽

Compressible Euler ◽

Finite Difference Weno Schemes ◽

High Order Finite Difference

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Parametrized Positivity Preserving Flux Limiters for the High Order Finite Difference WENO Scheme Solving Compressible Euler Equations

Journal of Scientific Computing ◽

10.1007/s10915-015-0118-0 ◽

2015 ◽

Vol 67 (3) ◽

pp. 1066-1088 ◽

Author(s):

Tao Xiong ◽

Jing-Mei Qiu ◽

Zhengfu Xu

Keyword(s):

Finite Difference ◽

Euler Equations ◽

Weno Scheme ◽

Compressible Euler Equations ◽

Positivity Preserving ◽

Compressible Euler ◽

Flux Limiters ◽

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 ◽

Author(s):

Xiaofeng Cai ◽

Xiangxiong Zhang ◽

Jianxian Qiu

Keyword(s):

Euler Equations ◽

Finite Volume ◽

Compressible Euler Equations ◽

Positivity Preserving ◽

Compressible Euler

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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 ◽

Author(s):

Xiangxiong Zhang ◽

Chi-Wang Shu

Keyword(s):

Euler Equations ◽

Discontinuous Galerkin ◽

Compressible Euler Equations ◽

Source Terms ◽

Positivity Preserving ◽

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 ◽

Author(s):

J. L. Estivalezes ◽

P. Villedieu

Keyword(s):

Euler Equations ◽

Compressible Euler Equations ◽

Positivity Preserving ◽

Kinetic Schemes ◽

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 ◽

Author(s):

Xiangyu Y. Hu ◽

Nikolaus A. Adams ◽

Chi-Wang Shu

Keyword(s):

Euler Equations ◽

Compressible Euler Equations ◽

Positivity Preserving ◽

Conservative Schemes ◽

Compressible Euler

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A positivity-preserving high order finite volume compact-WENO scheme for compressible Euler equations

Journal of Computational Physics ◽

10.1016/j.jcp.2014.06.046 ◽

2014 ◽

Vol 274 ◽

pp. 505-523 ◽

Author(s):

Yan Guo ◽

Tao Xiong ◽

Yufeng Shi

Keyword(s):

Euler Equations ◽

Finite Volume ◽

Weno Scheme ◽

Compressible Euler Equations ◽

Positivity Preserving ◽

Compressible Euler

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High Order Positivity- and Bound-Preserving Hybrid Compact-WENO Finite Difference Scheme for the Compressible Euler Equations

Journal of Scientific Computing ◽

10.1007/s10915-017-0452-5 ◽

2017 ◽

Vol 74 (2) ◽

pp. 640-666 ◽

Author(s):

Peng Li ◽

Wai-Sun Don ◽

Cheng Wang ◽

Zhen Gao

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Euler Equations ◽

Finite Difference Scheme ◽

Compressible Euler Equations ◽

Compressible Euler

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On positivity-preserving high order discontinuous Galerkin schemes for compressible Euler equations on rectangular meshes

Journal of Computational Physics ◽

10.1016/j.jcp.2010.08.016 ◽

2010 ◽

Vol 229 (23) ◽

pp. 8918-8934 ◽

Author(s):

Xiangxiong Zhang ◽

Chi-Wang Shu

Keyword(s):

Euler Equations ◽

Discontinuous Galerkin ◽

Compressible Euler Equations ◽

Positivity Preserving ◽

Compressible Euler

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