Compact third-order multidimensional upwind scheme for Navier-Stokes simulations
2002 (English)In: Theoretical and Computational Fluid Dynamics, ISSN 0935-4964, E-ISSN 1432-2250, Vol. 15, no 6, 373-401 p.Article in journal (Refereed) Published
A new compact third-order scheme for the solution of the unsteady Navier-Stokes equations on unstructured grids is proposed. The scheme is a cell-based algorithm, belonging to the class of Multidimensional Upwind schemes, which uses a finite-element reconstruction procedure over the cell to achieve third order (spatial) accuracy. Derivation of the scheme is given. The asymptotic accuracy, for steady/unsteady inviscid or viscous flow situations, is proved using numerical experiments. Those results are compared with the performances of a second-order multidimensional upwind scheme. The new compact high-order discretization proves to have excellent parallel scalability, which makes it well suited for large-scale computations on parallel supercomputers. Our studies show clearly the advantages of the new compact third-order scheme compared with the classical second-order Multidimensional Upwind scheme.
Place, publisher, year, edition, pages
2002. Vol. 15, no 6, 373-401 p.
IdentifiersURN: urn:nbn:se:kth:diva-21810ISI: 000177367800003OAI: oai:DiVA.org:kth-21810DiVA: diva2:340508
QC 201005252010-08-102010-08-10Bibliographically approved