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22–28 Jun 2019
DoubleTree at the Entrance to Universal Orlando
America/New_York timezone

A Kernel Based High Order ''Explicit'' Unconditionally Stable Constrained Transport Method for Ideal Magnetohydrodynamics

26 Jun 2019, 15:45
15m
Seminole A/B (Double Tree at the Entrance to Universal Orlando)

Seminole A/B

Double Tree at the Entrance to Universal Orlando

Either 1.2 Computational Plasma Physics; 1.2 Computational Plasma Physics III

Speaker

FIRAT CAKIR (MICHIGAN STATE UNIVERSITY)

Description

The ideal Magnetohydrodynamics (MHD) equations are challenging because one needs to maintain the divergence free condition, divB=0. Many numerical methods have been developed to enforce this condition. In this work, we further our work on mesh aligned constraint transport by developing a new Kernel based approach for the vector potential in 2D and 3D. The approach for solving the vector potential is based on the method of lines transpose and is A-stable, eliminating the need for diffusion limiters needed in our previous work in 3D. The method is robust and has been tested on the 2D and 3D cloud shock, blast wave and field loop problems.

Authors

FIRAT CAKIR (MICHIGAN STATE UNIVERSITY) Prof. Andrew Christlieb (Michigan State University) Dr YAN JIANG (University of Science and Technology of China)

Presentation materials

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