SIAC Filtering for Nonlinear Hyperbolic Equations

Li, Xiaozhou and Ryan, Jennifer (2015) SIAC Filtering for Nonlinear Hyperbolic Equations. In: Interdisciplinary Topics in Applied Mathematics, Modeling and Computational Science. Springer Proceedings in Mathematics & Statistics, 117 . Springer, pp. 285-291.

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We present the results of the symmetric and one-sided Smoothness-Increasing Accuracy-Conserving (SIAC) filter applied to a discontinuous Galerkin (DG) approximation for two examples of nonlinear hyperbolic conservation laws. The traditional symmetric SIAC filter relies on having a translation invariant mesh, periodic boundary conditions and linear equations. However, for practical applications that are modelled by nonlinear hyperbolic equations, this is not feasible. Instead we must concentrate on a filter that allows error reduction for nonuniform/unstructured meshes and non-periodic boundary conditions for nonlinear hyperbolic equations. This proceedings is an introductory exploration into the feasibility of these requirements for efficient filtering of nonlinear equations.

Item Type: Book Section
Uncontrolled Keywords: discontinuous galerkin,hyperbolic equations,post-processing,nonlinear,siac filtering
Faculty \ School: Faculty of Science > School of Mathematics
UEA Research Groups: Faculty of Science > Research Groups > Fluid and Solid Mechanics
Depositing User: Pure Connector
Date Deposited: 05 Feb 2016 14:01
Last Modified: 21 Oct 2022 23:51


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