A new grid adaptation strategy, which minimizes the truncation error of a pth-order finite difference approximation, is proposed. The main idea of the method is based on the observation that the global truncation error associated with discretization on nonuniform meshes can be minimized if the inter
Adaptive grid generation by minimizing residuals
โ Scribed by Philip Roe; Hiroaki Nishikawa
- Publisher
- John Wiley and Sons
- Year
- 2002
- Tongue
- English
- Weight
- 240 KB
- Volume
- 40
- Category
- Article
- ISSN
- 0271-2091
- DOI
- 10.1002/fld.336
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
The derivation of elliptic adaptive grid control functions which satisfy the area equidistribution concept is presented. The resulting expressions are derived without approximation and are shown to provide explicit control over cell area distributions. A modification to the equidistribution concept
The numerical solution of conservation laws by minimizing the residuals of an overdetermined set of discrete equations is studied. Previous research has shown that for certain formulations, minimizing the residuals in the \(L\), norm will yield solutions that resolve discontinuities that are very sh
This paper reports a novel hyperbolic grid-generation with an inherent adaptive dissipation (HGAD), which is capable of improving the oscillation and overlapping of grid lines. In the present work upwinding differencing is applied to discretize the hyperbolic system and, thereby, to develop the adap
A generalized unstructured mesh generation procedure using Delaunay triangulation has been developed for adaptive ยฎnite element applications. The main features of the method include: (i) a fast and ecient initial triangulation; (ii) interior node insertion with good control over the grid size and as