Yingjie Liu
Georgia Institute of Technology, USA
Title: New central and central DG-type methods on overlapping cells for solving MHD equations on triangular meshes
Biography
Biography: Yingjie Liu
Abstract
This talk is based on a recently published paper joint with Zhiliang Xu (U. of Notre Dame). Th ey develop new central and central DG-type methods on overlapping cells for solving nonlinear MHD equations on triangular meshes. Th is method is fully conservative for the magnetic fi eld. New features are introduced to reduce the complexity: the fl uid quantities are only computed on the triangular mesh while the magnetic fi eld is also defi ned on the dual mesh. Th ese methods take advantage of the nice feature of central schemes to avoid dealing with Riemann problems at discontinuities of the electromagnetic fi eld.
Th ey can also take arbitrarily small time step sizes when necessary without introducing the O(1/dt) dissipation error.