Volume 11, Issue 2
Multiderivative Combined Dissipative Compact Scheme Satisfying Geometric Conservation Law II: Applications on Complex Curvilinear Meshes

Yi Jiang, Meiliang Mao, Xiaogang Deng & Huayong Liu

Adv. Appl. Math. Mech., 11 (2019), pp. 285-311.

Published online: 2019-01

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  • Abstract

The multiderivative combined dissipative compact scheme (MDCS) is extended to implement applications on complex curvilinear meshes. According to our previous evaluation on the scheme, a fifth-order MDCS, which has coexistent superior resolution power and relatively high efficiency, is chosen to present the performance of the MDCS. The capability of the fifth-order MDCS is evaluated by increasingly complex meshes in three typical tests: acoustic scattering from two cylinders, flow over a rod-airfoil configuration and   flow over a landing gear model. On the curvilinear meshes, high resolution power possessed by the representative fifth-order MDCS is demonstrated for resolving acoustic wave. Moreover, the MDCS presents promising capability in simulating multiple scales in turbulent flow.


  • Keywords

Multiderivative combined dissipative compact scheme geometric conservation law curvilinear mesh complex geometry high-order implicit large eddy simulation.

  • AMS Subject Headings

76Fxx 76Gxx

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COPYRIGHT: © Global Science Press

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@Article{AAMM-11-285, author = {}, title = {Multiderivative Combined Dissipative Compact Scheme Satisfying Geometric Conservation Law II: Applications on Complex Curvilinear Meshes}, journal = {Advances in Applied Mathematics and Mechanics}, year = {2019}, volume = {11}, number = {2}, pages = {285--311}, abstract = {

The multiderivative combined dissipative compact scheme (MDCS) is extended to implement applications on complex curvilinear meshes. According to our previous evaluation on the scheme, a fifth-order MDCS, which has coexistent superior resolution power and relatively high efficiency, is chosen to present the performance of the MDCS. The capability of the fifth-order MDCS is evaluated by increasingly complex meshes in three typical tests: acoustic scattering from two cylinders, flow over a rod-airfoil configuration and   flow over a landing gear model. On the curvilinear meshes, high resolution power possessed by the representative fifth-order MDCS is demonstrated for resolving acoustic wave. Moreover, the MDCS presents promising capability in simulating multiple scales in turbulent flow.


}, issn = {2075-1354}, doi = {https://doi.org/10.4208/aamm.OA-2018-0079}, url = {http://global-sci.org/intro/article_detail/aamm/12978.html} }
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