A multidimensional discretisation of the shallow water equations governing unsteady free-surface flow is proposed. The method, based on a residual distribution discretisation, relies on a characteristic eigenvector decomposition of each cell residual, and the use of appropriate distribution schemes.
MULTIDIMENSIONAL UPWIND RESIDUAL DISTRIBUTION SCHEMES FOR THE CONVECTION–DIFFUSION EQUATION
✍ Scribed by H. PAILLÈRE; J. BOXHO; G. DEGREZ; H. DECONINCK
- Publisher
- John Wiley and Sons
- Year
- 1996
- Tongue
- English
- Weight
- 608 KB
- Volume
- 23
- Category
- Article
- ISSN
- 0271-2091
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✦ Synopsis
Multidimensional residual distribution schemes for the convectiowdiffusion equation are described. Compact upwind cell vertex schemes are used for the discretization of the convective term. For the diffusive term, two approaches are compared the classical finite element Galerkin formulation, which preserves the compactness of the stencil used for the convective part, and various residual-based approaches in which the diffusive term, evaluated after a reconstruction step, is upwinded along with the convective term.
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