Global structure of Riemann solutions to a system of two-dimensional hyperbolic conservation laws

Chun Shen; Meina Sun; Zhen Wang

doi:10.1016/j.na.2011.04.044

Global structure of Riemann solutions to a system of two-dimensional hyperbolic conservation laws

Nonlinear Analysis ◽

10.1016/j.na.2011.04.044 ◽

2011 ◽

Vol 74 (14) ◽

pp. 4754-4770 ◽

Cited By ~ 4

Author(s):

Chun Shen ◽

Meina Sun ◽

Zhen Wang

Keyword(s):

Conservation Laws ◽

Hyperbolic Conservation Laws ◽

Global Structure ◽

Two Dimensional ◽

Riemann Solutions ◽

Hyperbolic Conservation

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Global structure stability of Riemann solutions for linearly degenerate hyperbolic conservation laws under small BV perturbations of the initial data

Nonlinear Analysis Real World Applications ◽

10.1016/j.nonrwa.2010.02.009 ◽

2010 ◽

Vol 11 (5) ◽

pp. 3791-3808 ◽

Cited By ~ 4

Author(s):

Zhi-Qiang Shao

Keyword(s):

Initial Data ◽

Conservation Laws ◽

Hyperbolic Conservation Laws ◽

Global Structure ◽

Structure Stability ◽

Riemann Solutions ◽

Hyperbolic Conservation ◽

Linearly Degenerate

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High order sub-cell finite volume schemes for solving hyperbolic conservation laws II: Extension to two-dimensional systems on unstructured grids

Journal of Computational Physics ◽

10.1016/j.jcp.2017.02.052 ◽

2017 ◽

Vol 338 ◽

pp. 165-198 ◽

Cited By ~ 2

Author(s):

Jianhua Pan ◽

Yu-xin Ren ◽

Yutao Sun

Keyword(s):

Conservation Laws ◽

Finite Volume ◽

Hyperbolic Conservation Laws ◽

Unstructured Grids ◽

High Order ◽

Two Dimensional ◽

Finite Volume Schemes ◽

Hyperbolic Conservation

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Non-oscillatory central schemes on unstructured grids for two-dimensional hyperbolic conservation laws

Applied Numerical Mathematics ◽

10.1016/j.apnum.2012.03.003 ◽

2012 ◽

Vol 62 (8) ◽

pp. 941-955 ◽

Cited By ~ 6

Author(s):

R. Touma ◽

G. Jannoun

Keyword(s):

Conservation Laws ◽

Hyperbolic Conservation Laws ◽

Unstructured Grids ◽

Two Dimensional ◽

Hyperbolic Conservation ◽

Central Schemes

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An h-adaptive RKDG method with troubled-cell indicator for two-dimensional hyperbolic conservation laws

Advances in Computational Mathematics ◽

10.1007/s10444-012-9287-7 ◽

2012 ◽

Vol 39 (3-4) ◽

pp. 445-463 ◽

Cited By ~ 14

Author(s):

Hongqiang Zhu ◽

Jianxian Qiu

Keyword(s):

Conservation Laws ◽

Hyperbolic Conservation Laws ◽

Two Dimensional ◽

Hyperbolic Conservation

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Two dimensional Riemann problem for a 2 × 2 system of hyperbolic conservation laws involving three constant states

Applied Mathematics and Computation ◽

10.1016/j.amc.2017.10.045 ◽

2018 ◽

Vol 321 ◽

pp. 49-62

Author(s):

Jinah Hwang ◽

Myoungin Shin ◽

Suyeon Shin ◽

Woonjae Hwang

Keyword(s):

Conservation Laws ◽

Riemann Problem ◽

Hyperbolic Conservation Laws ◽

Two Dimensional ◽

Hyperbolic Conservation

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Global Structure of Admissible BV Solutions to Piecewise Genuinely Nonlinear, Strictly Hyperbolic Conservation Laws in One Space Dimension

Communications in Partial Differential Equations ◽

10.1080/03605302.2013.775153 ◽

2014 ◽

Vol 39 (2) ◽

pp. 244-273 ◽

Cited By ~ 3

Author(s):

Stefano Bianchini ◽

Lei Yu

Keyword(s):

Conservation Laws ◽

Hyperbolic Conservation Laws ◽

Space Dimension ◽

Global Structure ◽

Hyperbolic Conservation ◽

One Space Dimension

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A limiting viscosity approach to Riemann solutions containing delta-shock waves for nonstrictly hyperbolic conservation laws

Quarterly of Applied Mathematics ◽

10.1090/qam/1447583 ◽

1997 ◽

Vol 55 (2) ◽

pp. 361-373 ◽

Cited By ~ 5

Author(s):

Jiaxin Hu

Keyword(s):

Shock Waves ◽

Conservation Laws ◽

Hyperbolic Conservation Laws ◽

Riemann Solutions ◽

Hyperbolic Conservation ◽

Delta Shock ◽

Delta Shock Waves

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A multiresolution finite volume scheme for two-dimensional hyperbolic conservation laws

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2007.03.014 ◽

2008 ◽

Vol 214 (2) ◽

pp. 583-595 ◽

Cited By ~ 4

Author(s):

Lingyan Tang ◽

Songhe Song

Keyword(s):

Conservation Laws ◽

Finite Volume ◽

Hyperbolic Conservation Laws ◽

Finite Volume Scheme ◽

Two Dimensional ◽

Hyperbolic Conservation ◽

Volume Scheme

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Adaptive Mesh Methods for One- and Two-Dimensional Hyperbolic Conservation Laws

SIAM Journal on Numerical Analysis ◽

10.1137/s003614290138437x ◽

2003 ◽

Vol 41 (2) ◽

pp. 487-515 ◽

Cited By ~ 164

Author(s):

Huazhong Tang ◽

Tao Tang

Keyword(s):

Conservation Laws ◽

Hyperbolic Conservation Laws ◽

Adaptive Mesh ◽

Two Dimensional ◽

Hyperbolic Conservation

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CWENO-type entropy consistent scheme for two dimensional scalar hyperbolic conservation laws

Journal of Computer Applications ◽

10.3724/sp.j.1087.2012.02745 ◽

2013 ◽

Vol 32 (10) ◽

pp. 2745-2747

Author(s):

Su-pei ZHENG ◽

Jian-hu FENG ◽

Cai-xia LIU

Keyword(s):

Conservation Laws ◽

Hyperbolic Conservation Laws ◽

Two Dimensional ◽

Hyperbolic Conservation

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Global structure of Riemann solutions to a system of two-dimensional hyperbolic conservation laws

Global structure stability of Riemann solutions for linearly degenerate hyperbolic conservation laws under small BV perturbations of the initial data

High order sub-cell finite volume schemes for solving hyperbolic conservation laws II: Extension to two-dimensional systems on unstructured grids

Non-oscillatory central schemes on unstructured grids for two-dimensional hyperbolic conservation laws

An h-adaptive RKDG method with troubled-cell indicator for two-dimensional hyperbolic conservation laws

Two dimensional Riemann problem for a 2 × 2 system of hyperbolic conservation laws involving three constant states

Global Structure of Admissible BV Solutions to Piecewise Genuinely Nonlinear, Strictly Hyperbolic Conservation Laws in One Space Dimension

A limiting viscosity approach to Riemann solutions containing delta-shock waves for nonstrictly hyperbolic conservation laws

A multiresolution finite volume scheme for two-dimensional hyperbolic conservation laws

Adaptive Mesh Methods for One- and Two-Dimensional Hyperbolic Conservation Laws

CWENO-type entropy consistent scheme for two dimensional scalar hyperbolic conservation laws

Two dimensional Riemann problem for a 2 × 2 system of hyperbolic conservation laws involving three constant states