Change search
ReferencesLink to record
Permanent link

Direct link
The effect of dissipation and coarse grid resolution for multigrid in flow problem
KTH, School of Computer Science and Communication (CSC), Numerical Analysis, NA.
1996 (English)Conference paper (Refereed)
Abstract [en]

This paper is to investigate the effects of the numerical dissipation and the resolution of the solution on coarser grids for multigrid with the Euler equation approximations. The convergence is accomplished by multi-stage explicit time-stepping to steady state accelerated by FAS multigrid. A theoretical investigation is carried out for linear hyperbolic equations in one and two dimensions. The spectra reveals that for stability and hence robustness of spatial discretizations with a small amount of numerical dissipation the grid transfer operators have to be accurate enough and the smoother of low temporal accuracy. Numerical results give grid independent convergence in one dimension. For twodimensional problems with a small amount of numerical dissipation, however, only a few grid levels contribute to an increased speed of convergence. This is explained by the small numerical dissipation leading to dispersion. Increasing the mesh density and hence making the problem over resolved increases the number of mesh levels contributing to an increased speed of convergence. If the steady state equations are elliptic, all grid levels contribute to the convergence regardless of the mesh density

Place, publisher, year, edition, pages
1996. 265-281 p.
National Category
Computer and Information Science
URN: urn:nbn:se:kth:diva-90450OAI: diva2:505521
Proc. 7th Copper Mountain Conf. on Multigrid Methods
NR 20140805Available from: 2012-02-24 Created: 2012-02-24Bibliographically approved

Open Access in DiVA

No full text

Search in DiVA

By author/editor
Engquist, Björn
By organisation
Numerical Analysis, NA
Computer and Information Science

Search outside of DiVA

GoogleGoogle Scholar
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

Total: 7 hits
ReferencesLink to record
Permanent link

Direct link