In this paper we introduce a new version of ENO (essentially nonoscillatory) shock-capturing schemes which we call weighted ENO. The main new idea is that, instead of choosing the "smoothest" stencil to pick one interpolating polynomial for the ENO reconstruction, we use a convex combination of all
Weighted Essentially Non-oscillatory Schemes on Triangular Meshes
β Scribed by Changqing Hu; Chi-Wang Shu
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 695 KB
- Volume
- 150
- Category
- Article
- ISSN
- 0021-9991
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β¦ Synopsis
In this paper we construct high-order weighted essentially non-oscillatory schemes on two-dimensional unstructured meshes (triangles) in the finite volume formulation. We present third-order schemes using a combination of linear polynomials and fourthorder schemes using a combination of quadratic polynomials. Numerical examples are shown to demonstrate the accuracies and robustness of the methods for shock calculations.
π SIMILAR VOLUMES
A class of lower-upper/approximate factorization (LUAF) implicit weighted essentially non-oscillatory (ENO; WENO) schemes for solving the two-dimensional incompressible Navier -Stokes equations in a generalized co-ordinate system is presented. The algorithm is based on the artificial compressibility
In this paper the weighted ENO (essentially non-oscillatory) scheme developed for the one-dimensional case by Liu, Osher, and Chan is applied to the case of unstructured triangular grids in two space dimensions. Ideas from Jiang and Shu, especially their new way of smoothness measuring, are consider
In this work, an adaptive central-upwind 6th-order weighted essentially non-oscillatory (WENO) scheme is developed. The scheme adapts between central and upwind schemes smoothly by a new weighting relation based on blending the smoothness indicators of the optimal higher order stencil and the lower