Structure-Preserving Shock-Capturing Methods: Late-Time Asymptotics, Curved Geometry, Small-Scale Dissipation, and Nonconservative Products-Reference-Cited by-同舟云学术

Structure-Preserving Shock-Capturing Methods: Late-Time Asymptotics, Curved Geometry, Small-Scale Dissipation, and Nonconservative Products

Published:2014 Issue: Volume: Page:179-222
ISSN:2199-3041
Container-title:Advances in Numerical Simulation in Physics and Engineering
language:
Short-container-title:

Author:

LeFloch Philippe G.

Publisher

Springer International Publishing

Link

http://link.springer.com/content/pdf/10.1007/978-3-319-02839-2_4

Reference66 articles.

1. Amorim, P., Ben-Artzi, M., LeFloch, P.G.: Hyperbolic conservation laws on manifolds: total variation estimates and the finite volume method. Methods Appl. Anal. 12, 291–324 (2005)

2. Amorim, P., LeFloch, P.G., Okutmustur, B.: Finite volume schemes on Lorentzian manifolds. Commun. Math. Sci. 6, 1059–1086 (2008)

3. Beljadid, A., LeFloch, P.G., Mohamadian, M.: A geometry-preserving finite volume method for conservation laws in curved geometries (2003, preprint HAL-00922214)

4. Ben-Artzi, M., LeFloch, P.G.: The well-posedness theory for geometry compatible hyperbolic conservation laws on manifolds. Ann. Inst. H. Poincaré Nonlinear Anal. 24, 989–1008 (2007)

5. Ben-Artzi, M., Falcovitz, J., LeFloch, P.G.: Hyperbolic conservation laws on the sphere: a geometry-compatible finite volume scheme. J. Comput. Phys. 228, 5650–5668 (2009)

Cited by 5 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Asymptotic structure of cosmological fluid flows: a numerical study;Communications in Applied Mathematics and Computational Science;2022-10-07

2. Asymptotic Structure of Cosmological Burgers Flows in One and Two Space Dimensions: A Numerical Study;Communications in Computational Physics;2021-06

3. A numerical study of the relativistic Burgers and Euler equations on a Schwarzschild black hole exterior;Communications in Applied Mathematics and Computational Science;2018-09-25

4. A Finite Volume Method for the Relativistic Burgers Equation on a FLRW Background Spacetime;Communications in Computational Physics;2018

5. A central-upwind geometry-preserving method for hyperbolic conservation laws on the sphere;Communications in Applied Mathematics and Computational Science;2017-05-08