## Abstract This work investigates a highβorder numerical method which is suitable for performing largeβeddy simulations, particularly those containing wallβbounded regions which are considered on stretched curvilinear meshes. Spatial derivatives are represented by a sixthβorder compact approximati
A High Order Compact Scheme for
β Scribed by M. Ben-Artzi; J.-P. Croisille; D. Fishelov
- Publisher
- Springer US
- Year
- 2009
- Tongue
- English
- Weight
- 799 KB
- Volume
- 42
- Category
- Article
- ISSN
- 0885-7474
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π SIMILAR VOLUMES
In this study, a high-order compact scheme for 2D Laplace and Poisson equations under a non-uniform grid setting is developed. Based on the optimal difference method, a nine-point compact difference scheme is generated. Difference coefficients at each grid point and source term are derived. This is
With progress in computer technology there has been renewed interest in a time-dependent approach to solving Maxwell equations. The commonly used Yee algorithm (an explicit central difference scheme for approximation of spatial derivatives coupled with the Leapfrog scheme for approximation of tempor
matically ''jump'' to local ones as discontinuities are encountered. Hence the schemes are nonlinear and Gibbs phe- We develop here compact high-order accurate nonlinear schemes for discontinuities capturing. Such schemes achieve high-order spa-nomenon is avoided. Two propositions have been proved,