C3S2
The Clarkson Center for Complex Systems Science
Professor Chunlei Liang, Clarkson University
Will present a talk entitled:
An Arbitrarily High-Order Spectral Difference Method with Divergence Cleaning (SDDC) for Compressible Magnetohydrodynamic Simulations on Unstructured Grids
Abstract: We report a recent development of the high-order spectral difference method with divergence cleaning (SDDC) for accurate simulations of both ideal and resistive magnetohydrodynamics (MHD) on curved unstructured grids consisting of high-order iso-parametric quadrilateral elements. The SDDC algorithm is now published in the Astrophysical Journal [1]. It can be used to predict magnetohydrodynamics for space weather prediction as well as nuclear fusion power generation. The divergence cleaning approach for the magnetic field is based on the improved generalized Lagrange multiplier (GLM), which is thermodynamically consistent. The SDDC method can achieve an arbitrarily high order of accuracy in spatial discretization, as demonstrated in the test problems with smooth solutions. The high-order SDDC method combined with the artificial dissipation method can sharply capture shock interfaces with the oscillation-free property and resolve small-scale vortex structures and density fluctuations on relatively sparse grids. The robustness of the codes is demonstrated through long time simulations of ideal MHD problems with progressively interacting shock structures, resistive MHD problems with high Lundquist numbers, and viscous resistive MHD problems on complex curved domains.
Reference:
[1] K. Chen and C. Liang 2022 ApJ 932 16, https://doi.org/10.3847/1538-4357/ac6e61
K . Scott Chen is a PhD student at Clarkson University.
SC166
Friday, October 7, 2022
12:00 pm
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C3S2 Clarkson Center for Complex Systems Science l http://webspace.clarkson.edu/~ebollt/Website-C3S2/index.html
CLARKSON UNIVERSITY l Potsdam, New York 13699-5720