A Provably Entropy Stable Subcell Shock Capturing Approach for High Order Split Form Dg for the Compressible Euler Equations

Compressible Euler ◽

Entropy Stable ◽

Split Form

A provably entropy stable subcell shock capturing approach for high order split form DG for the compressible Euler equations

10.1016/j.jcp.2020.109935 ◽

2021 ◽

Vol 426 ◽

pp. 109935 ◽

Cited By ~ 1

Author(s):

Sebastian Hennemann ◽

Andrés M. Rueda-Ramírez ◽

Florian J. Hindenlang ◽

Gregor J. Gassner

Keyword(s):

Euler Equations ◽

High Order ◽

Shock Capturing ◽

Compressible Euler ◽

Entropy Stable ◽

Split Form

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

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 ◽

Positivity Preserving ◽

Weno Schemes ◽

Compressible Euler ◽

Finite Difference Weno Schemes ◽

High Order Finite Difference

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 ◽

Positivity Preserving ◽

A high order ENO conservative Lagrangian type scheme for the compressible Euler equations

10.1016/j.jcp.2007.09.017 ◽

2007 ◽

Vol 227 (2) ◽

pp. 1567-1596 ◽

Cited By ~ 93

Author(s):

Juan Cheng ◽

Chi-Wang Shu

Keyword(s):

Euler Equations ◽

High Order ◽

Split form nodal discontinuous Galerkin schemes with summation-by-parts property for the compressible Euler equations

10.1016/j.jcp.2016.09.013 ◽

2016 ◽

Vol 327 ◽

pp. 39-66 ◽

Cited By ~ 107

Author(s):

Gregor J. Gassner ◽

Andrew R. Winters ◽

David A. Kopriva

Keyword(s):

Euler Equations ◽

Discontinuous Galerkin ◽

Summation By Parts ◽

Compressible Euler ◽

Split Form

Lecture Notes in Computational Science and Engineering - Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2018 ◽

On the Order Reduction of Entropy Stable DGSEM for the Compressible Euler Equations

10.1007/978-3-030-39647-3_2 ◽

2020 ◽

pp. 21-44

Author(s):

Florian J. Hindenlang ◽

Gregor J. Gassner

Keyword(s):

Euler Equations ◽

Order Reduction ◽

Compressible Euler ◽

Entropy Stable

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 ◽

Positivity Preserving ◽

Weno Schemes ◽

Compressible Euler ◽

Finite Difference Weno Schemes ◽

High Order Finite Difference

A robust high-order discontinuous Galerkin method with large time steps for the compressible Euler equations

Communications in Mathematical Sciences ◽

10.4310/cms.2017.v15.n3.a11 ◽

2017 ◽

Vol 15 (3) ◽

pp. 813-837 ◽

Cited By ~ 2

Author(s):

Florent Renac

Keyword(s):

Galerkin Method ◽

Euler Equations ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Large Time ◽

High Order ◽

Theory, Numerics and Applications of Hyperbolic Problems II - Springer Proceedings in Mathematics & Statistics ◽

A Third-Order Entropy Stable Scheme for the Compressible Euler Equations

10.1007/978-3-319-91548-7_38 ◽

2018 ◽

pp. 503-515

Author(s):

Deep Ray

Keyword(s):

Euler Equations ◽

Third Order ◽

Compressible Euler ◽

Entropy Stable ◽

Stable Scheme

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

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 ◽

Source Terms ◽

Positivity Preserving ◽