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Computational Methods for Ideal Magnetohydrodynamics

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dc.contributor.advisor Weigel, Robert S. Kercher, Andrew
dc.creator Kercher, Andrew en_US 2015-02-12T02:59:14Z 2015-02-12T02:59:14Z 2014 en_US
dc.description.abstract Numerical schemes for the ideal magnetohydrodynamics (MHD) are widely used for modeling space weather and astrophysical flows. They are designed to resolve the different waves that propagate through a magnetohydro fluid, namely, the fast, Alfv&eacute;n, slow, and entropy waves. Numerical schemes for ideal magnetohydrodynamics that are based on the standard finite volume (FV) discretization exhibit pseudo-convergence in which non-regular waves no longer exist only after heavy grid refinement. A method is described for obtaining solutions for coplanar and near coplanar cases that consist of only regular waves, independent of grid refinement. The method, referred to as Compound Wave Modification (CWM), involves removing the flux associated with non-regular structures and can be used for simulations in two- and three-dimensions because it does not require explicitly tracking an Alfv&eacute;n wave. For a near coplanar case, and for grids with 2<super>13</super> points or less, we find root-mean-square-errors (RMSEs) that are as much as 6 times smaller. For the coplanar case, in which non-regular structures will exist at all levels of grid refinement for standard FV schemes, the RMSE is as much as 25 times smaller.
dc.format.extent 137 pages en_US
dc.language.iso en en_US
dc.rights Copyright 2014 Andrew Kercher en_US
dc.subject Astrophysics en_US
dc.subject Plasma physics en_US
dc.subject Compound Wave en_US
dc.subject Finite Volume en_US
dc.subject Intermediate Shock en_US
dc.subject Magnetohydrodynamics en_US
dc.subject Riemann Problem en_US
dc.title Computational Methods for Ideal Magnetohydrodynamics en_US
dc.type Dissertation en Doctoral en Computational Sciences and Informatics en George Mason University en

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