A Third Order WLSQR Scheme on Unstructured Meshes with Curvilinear Boundaries

J. Fürst ()
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J. Fürst: Czech Technical University in Prague

A chapter in Numerical Mathematics and Advanced Applications, 2008, pp 289-296 from Springer

Abstract: Abstract The work deals with the development of a high order finite volume scheme for Euler and Navier–Stokes equations. The accuracy of the scheme is improved by a piecewise quadratic interpolation of cell averaged data. The interpolation procedure uses the weighted least square approach similar to the weighted ENO scheme [2]. The resulting scheme posses extremely good convergence to steady state thanks to single stencil reconstruction with smooth weights. The truncation error for two variants of the simplified scheme for one-dimensional convection-diffusion equation is derived here. The importance of good approximation of the boundary is emphasized and an ENO-like procedure for the approximation of the boundary is described.

Keywords: Mach Number; Unstructured Mesh; Order Scheme; Volume Scheme; High Order Method (search for similar items in EconPapers)
Date: 2008
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-540-69777-0_34

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DOI: 10.1007/978-3-540-69777-0_34

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