A conformal Petrov-Galerkin method for convection-dominated problems

Delsaute, B.;Dupret, François
(2008) 9th ICFD Conference on Numerical Methods for Fluid Dynamics — Location: Univ Reading, Reading(England) (2007)

Files

pdfdocument.pdf
  • Restricted Access
  • Adobe PDF
  • 257.83 KB
Request a copy

Details

Authors
  • Delsaute, B.
    Author
  • Dupret, FrançoisUCLouvain
    Author
Abstract
In this paper, we present the 'conformal Petrov-Galerkin' (CPG) method in order to solve the 2D convection-diffusion equation on meshes composed of triangular elements. By 'conformal' it is meant that the discrete system is obtained front the continuous weak formulation by appropriately selecting different finite-dimensional subspaces for the shape and test functions without any additional stabilizing term. Our approach is based on searching continuous test functions that provide exact nodal values for a selected class Of Solutions. This method induces a stabilizing upwinding effect that removes the wiggles obtained with the Galerkin method. Copyright (C) 2008 John Wiley & Sons, Ltd.
Affiliations

Citations

  • APA
  • Chicago
  • FWB

Delsaute, B., & Dupret, F. (2008). A conformal Petrov-Galerkin method for convection-dominated problems. International Journal for Numerical Methods in Fluids, 56(8), 1077-1084. https://doi.org/10.1002/fld.1754 (Original work published 2008)