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Paper: Development of Low Dissipative High Order Filter Schemes for Multiscale Navier-Stokes/MHD Systems
Volume: 359, Numerical Modeling of Space Plasma Flows: Astronum-2006
Page: 47
Authors: Yee, H.C.; Sjogreen, B.
Abstract: Recent progress in the development of a class of low dissipative high order filter schemes for multiscale Navier-Stokes, and ideal and non-ideal magnetohydrodynamics (MHD) systems is described. The four main features of this schemes are: (a) multiresolution wavelet decomposition of the computed flow data as sensors for adaptive numerical dissipative control, (b) multistep filter to accommodate efficient application of different numerical dissipation models and different spatial high order base schemes, (c) solving the ideal conservative MHD system without having to deal with an incomplete eigensystem set while at the same time ensuring that correct shock speeds and locations are computed, and (d) minimization of the divergence of the magnetic field (∇·B) numerical error. By design, the flow sensors, different choice of high order base schemes and numerical dissipation models are stand-alone modules. A whole class of low dissipative high order schemes can be derived at ease, making the resulting computer software very flexible with widely applicable.
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