A computationally efficient multigrid algorithm for upwind edge-based finite element schemes is developed for the solution of the two-dimensional Euler and Navier -Stokes equations on unstructured triangular grids. The basic smoother is based upon a Galerkin approximation employing an edge-based for
A compact high-order unstructured grids method for the solution of Euler equations
β Scribed by R.K. Agarwal; D.W. Halt
- Publisher
- John Wiley and Sons
- Year
- 1999
- Tongue
- English
- Weight
- 339 KB
- Volume
- 31
- Category
- Article
- ISSN
- 0271-2091
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β¦ Synopsis
Two compact higher-order methods are presented for solving the Euler equations in two dimensions. The flow domain is discretized by triangles. The methods use a characteristic-based approach with a cell-centered finite volume method. Polynomials of order 0 through 3 are used in each cell to represent the conservation flow variables. Solutions are demonstrated to achieve up to fourth-order accuracy. Computations are presented for a variety of fluid flow applications. Numerical results demonstrate a substantial gain in efficiency using compact higher-order elements over the lower-order elements.
π SIMILAR VOLUMES
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