Projects per year
Abstract
We present the results of the symmetric and onesided SmoothnessIncreasing AccuracyConserving (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 nonperiodic boundary conditions for nonlinear hyperbolic equations. This proceedings is an introductory exploration into the feasibility of these requirements for efficient filtering of nonlinear equations.
Original language  English 

Title of host publication  Interdisciplinary Topics in Applied Mathematics, Modeling and Computational Science 
Publisher  Springer 
Pages  285291 
Volume  117 
Publication status  Published  4 Jul 2015 
Publication series
Name  Springer Proceedings in Mathematics & Statistics 

Publisher  Springer 
Keywords
 discontinuous Galerkin
 hyperbolic equations
 postprocessing
 nonlinear
 SIAC filtering
Projects
 1 Finished

Exploiting Superconvergence in Discontinuous Galerkin Methods for Improved TimeStepping and Visualization
Ryan, J.
1/02/13 → 31/07/16
Project: Research