 Grid refinement/alignment in 3D flow computationsJiřı́ Felcman Mathematics and Computers in Simulation (MATCOM), 2003, vol. 61, issue 3, 317-331 Abstract: The paper is concerned with the grid refinement/coarsening/alignment technique for the adaptive solution of the 3D compressible flow. The necessary condition for the properties of the tetrahedrization on which the discretization error is below the prescribed tolerance is formulated. The interpolation error in the density and in the Mach number for the inviscid and viscous flow, respectively, is used to control this necessary condition. The original smoothing procedure for the generally discontinuous approximate solution is proposed in terms of edge based Hesse matrices. This allows to define the concept of the optimal mesh and to adopt the standard anisotropic mesh adaptation technique for the equidistribution of the interpolation error function. Geometrically interpreted, the optimal mesh is almost equilateral tetrahedrization with respect to the solution dependent Riemann norm of edges. For its construction, the iterative algorithm is proposed. The theoretical considerations are completed by the numerical example of the adaptive solution of the 3D channel flow. Keywords: Mesh adaptation; Grid alignment; Shock wave (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:61:y:2003:i:3:p:317-331 Access Statistics for this article Mathematics and Computers in Simulation (MATCOM) is currently edited by Robert Beauwens More articles in Mathematics and Computers in Simulation (MATCOM) from Elsevier |
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