Compact third-order multidimensional upwind discretization for steady and unsteady flow simulations
2005 (English)In: Computers & Fluids, ISSN 0045-7930, E-ISSN 1879-0747, Vol. 34, no 05-apr, 419-441 p.Article in journal (Refereed) Published
We propose a new third-order multidimensional upwind algorithm for the solution of the flow equations on tetrahedral cells unstructured grids. This algorithm has a compact stencil (cell-based computations) and uses a finite element idea when computing the residual over the cell to achieve its third-order (spatial) accuracy. The construction of the new scheme is presented. The asymptotic accuracy for steady or unsteady, inviscid or viscous flow situations is proved using numerical experiments. The new high-order discretization proves to have excellent parallel scalability. Our studies show the advantages of the new compact third-order scheme when compared with the classical second-order multidimensional upwind schemes.
Place, publisher, year, edition, pages
2005. Vol. 34, no 05-apr, 419-441 p.
IdentifiersURN: urn:nbn:se:kth:diva-14527DOI: 10.1016/j.compfluid.2004.03.002ISI: 000226950000003OAI: oai:DiVA.org:kth-14527DiVA: diva2:332568
QC 201005252010-08-052010-08-052011-07-07Bibliographically approved