This paper deals with the formulation of a higher-order compact (HOC) scheme on non-uniform grids in complex geometries to simulate two-dimensional (2D) steady incompressible viscous flows governed by the Navier-Stokes (N-S) equations. The proposed scheme which is spatially fourth-order accurate is
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A fourth-order compact scheme for the Helmholtz equation: Alpha-interpolation of FEM and FDM stencils
✍ Scribed by Prashanth Nadukandi; Eugenio Oñate; Julio Garcia
- Publisher
- John Wiley and Sons
- Year
- 2010
- Tongue
- English
- Weight
- 967 KB
- Volume
- 86
- Category
- Article
- ISSN
- 0029-5981
- DOI
- 10.1002/nme.3043
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## Abstract A fourth‐order compact finite difference scheme on the nine‐point 2D stencil is formulated for solving the steady‐state Navier–Stokes/Boussinesq equations for two‐dimensional, incompressible fluid flow and heat transfer using the stream function–vorticity formulation. The main feature o