Acta mathematica scientia,Series B ›› 2010, Vol. 30 ›› Issue (2): 621-632.doi: 10.1016/S0252-9602(10)60065-3

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RELAXATION SOLVERS FOR IDEAL MHD EQUATIONS -A REVIEW

 Christian Klingenberg, Knut Waagan   

  1. Departement of Mathematics, Wurzburg University, Am Hubland 97074 Wurzburg, Germany; The University of Maryland, CSCAMM, 4146 CSIC Building \#406 Paint Branch Drive, |College Park MD 20742-3289, USA
  • Received:2010-03-12 Online:2010-03-20 Published:2010-03-20

Abstract:

We have developed approximate Riemann solvers for ideal MHD equations based on a relaxation approach in [4], [5]. These lead to entropy consistent solutions with good properties like guaranteed positive density. We describe the extension to higher order and multiple space dimensions. Finally we show our implementation of all this into the astrophysics code FLASH.

Key words: conservation laws, ideal magnetohydrodynamics, finite volume schemes,  entropy stable schemes, positive schemes

CLC Number: 

  • 35L65
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