An asymptotic-preserving scheme for systems of conservation laws with source terms on 2D unstructured meshes

Communications in Applied Mathematics and Computational Science ◽

10.2140/camcos.2016.11.55 ◽

2016 ◽

Vol 11 (1) ◽

pp. 55-77 ◽

Author(s):

Christophe Berthon ◽

Guy Moebs ◽

Céline Sarazin-Desbois ◽

Rodolphe Turpault

Keyword(s):

Conservation Laws ◽

Unstructured Meshes ◽

Source Terms ◽

Asymptotic Preserving ◽

Systems Of Conservation Laws ◽

Asymptotic Preserving Scheme

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An Asymptotic-Preserving Scheme for Systems of Conservation Laws with Source Terms on 2D Unstructured Meshes

Finite Volumes for Complex Applications VII-Methods and Theoretical Aspects - Springer Proceedings in Mathematics & Statistics ◽

10.1007/978-3-319-05684-5_9 ◽

2014 ◽

pp. 107-115

Author(s):

C. Berthon ◽

G. Moebs ◽

R. Turpault

Keyword(s):

Conservation Laws ◽

Unstructured Meshes ◽

Source Terms ◽

Asymptotic Preserving ◽

Systems Of Conservation Laws ◽

Asymptotic Preserving Scheme

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An admissibility and asymptotic-preserving scheme for systems of conservation laws with source term on 2D unstructured meshes

Journal of Computational Physics ◽

10.1016/j.jcp.2016.03.045 ◽

2016 ◽

Vol 315 ◽

pp. 98-123 ◽

Author(s):

F. Blachère ◽

R. Turpault

Keyword(s):

Conservation Laws ◽

Source Term ◽

Unstructured Meshes ◽

Asymptotic Preserving ◽

Systems Of Conservation Laws ◽

Asymptotic Preserving Scheme

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An admissibility and asymptotic preserving scheme for systems of conservation laws with source term on 2D unstructured meshes with high-order MOOD reconstruction

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2017.01.012 ◽

2017 ◽

Vol 317 ◽

pp. 836-867 ◽

Author(s):

F. Blachère ◽

R. Turpault

Keyword(s):

Conservation Laws ◽

Source Term ◽

Unstructured Meshes ◽

Asymptotic Preserving ◽

Systems Of Conservation Laws ◽

Asymptotic Preserving Scheme

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Very high-order asymptotic-preserving schemes for hyperbolic systems of conservation laws with parabolic degeneracy on unstructured meshes

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2021.02.003 ◽

2021 ◽

Vol 87 ◽

pp. 41-49

Author(s):

Florian Blachère ◽

Christophe Chalons ◽

Rodolphe Turpault

Keyword(s):

Conservation Laws ◽

Hyperbolic Systems ◽

Unstructured Meshes ◽

Asymptotic Preserving ◽

Asymptotic Preserving Schemes ◽

Systems Of Conservation Laws ◽

Very High ◽

Parabolic Degeneracy

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Finite Volumes Asymptotic Preserving Schemes for Systems of Conservation Laws with Stiff Source Terms

Finite Volumes for Complex Applications VI Problems & Perspectives - Springer Proceedings in Mathematics ◽

10.1007/978-3-642-20671-9_12 ◽

2011 ◽

pp. 107-115

Author(s):

C. Berthon ◽

R. Turpault

Keyword(s):

Conservation Laws ◽

Finite Volumes ◽

Source Terms ◽

Asymptotic Preserving ◽

Asymptotic Preserving Schemes ◽

Systems Of Conservation Laws

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Asymptotic preserving scheme for the shallow water equations with source terms on unstructured meshes

Journal of Computational Physics ◽

10.1016/j.jcp.2015.02.007 ◽

2015 ◽

Vol 287 ◽

pp. 184-206 ◽

Author(s):

A. Duran ◽

F. Marche ◽

R. Turpault ◽

C. Berthon

Keyword(s):

Shallow Water ◽

Shallow Water Equations ◽

Unstructured Meshes ◽

Source Terms ◽

Asymptotic Preserving ◽

Asymptotic Preserving Scheme

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Multi-moment ADER-Taylor methods for systems of conservation laws with source terms in one dimension

Journal of Computational Physics ◽

10.1016/j.jcp.2012.05.029 ◽

2012 ◽

Vol 231 (20) ◽

pp. 6622-6642 ◽

Author(s):

M.R. Norman ◽

H. Finkel

Keyword(s):

Conservation Laws ◽

One Dimension ◽

Source Terms ◽

Systems Of Conservation Laws ◽

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Flux difference splitting for hyperbolic systems of conservation laws with source terms

Computers & Mathematics with Applications ◽

10.1016/0898-1221(93)90052-w ◽

1993 ◽

Vol 26 (7) ◽

pp. 79-96 ◽

Author(s):

P. Glaister

Keyword(s):

Conservation Laws ◽

Hyperbolic Systems ◽

Source Terms ◽

Systems Of Conservation Laws ◽

Flux Difference

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A well-balanced flux-vector splitting scheme designed for hyperbolic systems of conservation laws with source terms

Computers & Mathematics with Applications ◽

10.1016/s0898-1221(00)00093-6 ◽

2000 ◽

Vol 39 (9-10) ◽

pp. 135-159 ◽

Author(s):

L. Gosse

Keyword(s):

Conservation Laws ◽

Hyperbolic Systems ◽

Splitting Scheme ◽

Flux Vector ◽

Source Terms ◽

Flux Vector Splitting ◽

Systems Of Conservation Laws

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A general approximate-state Riemann solver for hyperbolic systems of conservation laws with source terms

International Journal for Numerical Methods in Fluids ◽

10.1002/fld.1374 ◽

2007 ◽

Vol 53 (9) ◽

pp. 1509-1540 ◽

Author(s):

Julien Lhomme ◽

Vincent Guinot

Keyword(s):

Conservation Laws ◽

Hyperbolic Systems ◽

Riemann Solver ◽

Source Terms ◽

Systems Of Conservation Laws

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