Computational Methods for Ideal Magnetohydrodynamics

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dc.contributor.advisorWeigel, Robert S.
dc.contributor.authorKercher, Andrew
dc.creatorKercher, Andrew
dc.date.accessioned2015-02-12T02:59:14Z
dc.date.available2015-02-12T02:59:14Z
dc.date.issued2014
dc.description.abstractNumerical 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.extent137 pages
dc.identifier.urihttps://hdl.handle.net/1920/9177
dc.language.isoen
dc.rightsCopyright 2014 Andrew Kercher
dc.subjectAstrophysics
dc.subjectPlasma physics
dc.subjectCompound Wave
dc.subjectFinite Volume
dc.subjectIntermediate Shock
dc.subjectMagnetohydrodynamics
dc.subjectRiemann Problem
dc.titleComputational Methods for Ideal Magnetohydrodynamics
dc.typeDissertation
thesis.degree.disciplineComputational Sciences and Informatics
thesis.degree.grantorGeorge Mason University
thesis.degree.levelDoctoral

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