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A Third Order WLSQR Scheme on Unstructured Meshes with Curvilinear Boundaries

In: Numerical Mathematics and Advanced Applications

Author

Listed:
  • J. Fürst

    (Czech Technical University in Prague)

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.

Suggested Citation

  • J. Fürst, 2008. "A Third Order WLSQR Scheme on Unstructured Meshes with Curvilinear Boundaries," Springer Books, in: Karl Kunisch & Günther Of & Olaf Steinbach (ed.), Numerical Mathematics and Advanced Applications, pages 289-296, Springer.
    • Handle: RePEc:spr:sprchp:978-3-540-69777-0_34
    DOI: 10.1007/978-3-540-69777-0_34
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