Multilevel Solvers for High Resolution Electric Field Calculations
By Andrew Reisner
University of Illinois at Urbana-Champaign
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Abstract
High fidelity electric field calculations are a critical component in plasma simulations. In this this talk we consider the problem of a dielectric barrier discharge (DBD) wherein the electric field is calculated to support a compressible flow, thus requiring a highly efficient global solve. The electric field is constructed on a logically structured but mapped mesh which yields anisotropy in the operator, along with jumps in the permittivity. Another challenge arises in the modeling of a dielectric barrier discharge, where dielectrics result in localized Dirichlet blocks within the domain. In a multilevel solver, these interior blocks are not resolved on coarse grids, leading to a deterioration in convergence with a strong dependence on the alignment and size relative to the coarse levels. We investigate the dependence of various multilevel solvers in this context and in a parallel setting. In particular, we detail the convergence of multilevel methods for high resolution electric field calculations in the presence of warped meshes with jumping coefficients.
Bio
Andrew Reisner is a 2nd year computer science graduate student. He is a member of the scientific computing group at the University of Illinois at Urbana-Champaign. With his advisor Luke Olsen, Andrew has been working on scalable linear solvers. He is specifically focusing on structured algebraic multigrid methods.
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University of Illinois at Urbana-Champaign