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- Title
基于新的参考光滑性指示子的改进的 三阶 WENO 格式.
- Authors
王亚辉
- Abstract
In order to meet the requirement of high accuracy and high resolution in computational fluid dynamics (CFD), a new reference smoothness indicator was proposed to reduce the numerical dissipation of the classical 3rd-order weighted essentially non-oscillatory (WENO) scheme. The construction method is different from the classical WENO-Z scheme. It is obtained through the L 2 -norm approximation of the derivatives of the reconstruction polynomials of the whole global stencil, and the linear combination of the derivatives of the reconstruction polynomials on the candidate sub-stencils. With this calculation method, higher-order reference smoothness indicators can be obtained than the WENO-Z scheme. In addition, different reference smoothness indicators can be obtained by change of the value of free parameter . A series of numerical examples prove the effectiveness of the reference smoothness indicator.
- Subjects
COMPUTATIONAL fluid dynamics; POLYNOMIALS; CONSERVATION laws (Physics); STENCIL work
- Publication
Applied Mathematics & Mechanics (1000-0887), 2022, Vol 43, Issue 7, p802
- ISSN
1000-0887
- Publication type
Article
- DOI
10.21656/1000-0887.420194