Spectral element approximation of convection–diffusion type problems

✍ Scribed by Kelly Black

• Book ID: 104308715
• Publisher: Elsevier Science
• Year: 2000
• Tongue: English
• Weight: 168 KB
• Volume: 33
• Category: Article
• ISSN: 0168-9274
• DOI: 10.1016/s0168-9274(99)00104-x

✦ Synopsis

A spectral element implementation of the discontinuous Galerkin method is examined for convection-diffusion type problems. The computational domain is subdivided into non-overlapping subdomains, and a high order, Legendre polynomial approximation is constructed on each subdomain. A variational formulation is used, and the flux across the subdomain interfaces is approximated using a van Leer flux splitting scheme for the convective terms and a penalty type method for the viscous terms.