A finite volume stability result for the convection operator in compressible flows. . . and some finite element applications
2008 (English)In: Finite Volumes for Complex Applications V: Problems & Perspectives / [ed] Robert Eymard and Jean-Marc Hérard, Hermes Science Publications, 2008, 185-192 p.Conference paper (Refereed)
In this paper, we build a L2-stable discretization of the non-linear convection termin Navier-Stokes equations for non-divergence-free flows, for non-conforming low order Stokesfinite elements. This discrete operator is obtained by a finite volume technique, and its stability relies on a result interesting for its own sake: the L2-stability of the natural finite volume convection operator in compressible flows, under some compatibility condition with the discrete mass balance. Then, this analysis is used to derive a boundary condition to cope with physical situations where the velocity cannot be prescribed on inflow parts of the boundary of the computational domain. We finally collect these ingredients in a pressure correction scheme for low Mach number flows, and assess the capability of the resulting algorithm to compute a natural convection flow with artificial (open) boundaries.
Place, publisher, year, edition, pages
Hermes Science Publications, 2008. 185-192 p.
Compressible flows, finite volumes, finite elements, convection, stability
IdentifiersURN: urn:nbn:se:kth:diva-52385ISBN: 9781848210356OAI: oai:DiVA.org:kth-52385DiVA: diva2:466355
5th International Symposium on Finite Volumes for Complex Applications
QC 201112202011-12-152011-12-152011-12-20Bibliographically approved