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Numerical challenges in gas-kinetic simulations of magnetohydrodynamics

DOI: 10.1615/ICHMT.2015.THMT-15.1680
pages 751-754

S. Anderson
Department of Aerospace Engineering, Texas A&M University, 3141 TAMU, College Station, TX 77845, U.S.A.

Sharath S. Girimaji
Department of Aerospace Engineering, Texas A&M University, College Station, Texas, USA; Department of Ocean Engineering, Texas A&M University, College Station, Texas, USA


This work describes efforts in the development of a gas-kinetic method (GKM) enhanced with resistive and Hall magnetohydrodynamics (MHD) effects. This method, known as MGKM (for MHD-GKM), has previously been validated as a hybrid-type method using finite-difference schemes to incorporate the electromagnetic effects onto an underlying hydrodynamic gas-kinetic scheme. The current state-of-the-art has been improved with a finite-volume scheme for calculation of ideal and Hall MHD physics. In addition, a second-order temporal integration scheme as well as a method of controlling the divergence of the magnetic field have been implemented. A short discussion of the importance of each addition is presented, along with validating numerical results.

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