High-order dimensionally split lagrange-remap schemes for ideal magnetohydrodynamics

Marc Wolff, Stéphane Jaouen, Hervé Jourdren, Eric Sonnendrücker

Research output: Contribution to journalArticlepeer-review

3 Scopus citations


We first propose a new class of high-order finite volume schemes for solving the 1-D ideal magnetohydrodynamics equations that is particularly well-suited for modern computer architectures. Applicable to arbitrary equations of state, these schemes, based on a Lagrange-remap approach, are high-order accurate in both space and time in the non-linear regime. A multidimensional extension on 2-D Cartesian grids using a high-order dimensional splitting technique is then proposed. Numerical results up to fourth-order on smooth and non-smooth test problems are also provided.

Original languageEnglish
Pages (from-to)345-367
Number of pages23
JournalDiscrete and Continuous Dynamical Systems - Series S
Issue number2
StatePublished - Apr 2012
Externally publishedYes


  • Dimensional splitting
  • High-order schemes
  • Ideal magnetohydrodynamics


Dive into the research topics of 'High-order dimensionally split lagrange-remap schemes for ideal magnetohydrodynamics'. Together they form a unique fingerprint.

Cite this