Provably Positive Central Discontinuous Galerkin Schemes via Geometric Quasilinearization for Ideal MHD Equations-Reference-Cited by-同舟云学术

Provably Positive Central Discontinuous Galerkin Schemes via Geometric Quasilinearization for Ideal MHD Equations

Published:2023-02-23 Issue:1 Volume:61 Page:250-285
ISSN:0036-1429
Container-title:SIAM Journal on Numerical Analysis
language:en
Short-container-title:SIAM J. Numer. Anal.

Author:

Wu Kailiang¹^ORCID,Jiang Haili²,Shu Chi-Wang³^ORCID

Affiliation:

1. Corresponding author. Department of Mathematics and SUSTech International Center for Mathematics, Southern University of Science and Technology, and National Center for Applied Mathematics Shenzhen NCAMS, Shenzhen, Guangdong 518055, China.

2. School of Mathematical Sciences, Peking University, Beijing 100871, China.

3. Division of Applied Mathematics, Brown University, Providence, RI 02912 USA.

Funder

Air Force Office of Scientific Research

National Science Foundation

Publisher

Society for Industrial & Applied Mathematics (SIAM)

Subject

Numerical Analysis,Applied Mathematics,Computational Mathematics

Reference61 articles.

1. Self-adjusting, positivity preserving high order schemes for hydrodynamics and magnetohydrodynamics

2. Maintaining Pressure Positivity in Magnetohydrodynamic Simulations

3. A Staggered Mesh Algorithm Using High Order Godunov Fluxes to Ensure Solenoidal Magnetic Fields in Magnetohydrodynamic Simulations

4. A multiwave approximate Riemann solver for ideal MHD based on relaxation. I: theoretical framework

5. A multiwave approximate Riemann solver for ideal MHD based on relaxation II: numerical implementation with 3 and 5 waves

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