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- Title
求解双曲守恒律方程的三阶修正模板 WENO 格式*.
- Authors
王亚辉
- Abstract
: In order to reduce the numerical dissipation of the classical 3rd-order weighted essentially non-oscillatory (WENO) scheme, a new modified stencil approximation of the 3rd-order WENO scheme was proposed. The 1st-order polynomial approximation of numerical flux on each candidate stencil in the classical WENO-JS3 scheme was improved, and the quadratic term was added to make the stencil approximation reach the 3rd-order accuracy. The corresponding candidate fluxes were calculated. Moreover, the new scheme has essentially non-oscillatory properties through introduction of tunable function . A series of numerical examples show the effectiveness of the new method.
- Subjects
POLYNOMIAL approximation; STENCIL work; CONSERVATION laws (Physics)
- Publication
Applied Mathematics & Mechanics (1000-0887), 2022, Vol 43, Issue 2, p224
- ISSN
1000-0887
- Publication type
Article
- DOI
10.21656/1000-0887.420091