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On robust and adaptive finite volume methods for steady euler equations
Hu, Guanghui1,2; Meng, Xucheng2; Tang, Tao3
2018
Conference Name16th International Conference on Hyperbolic Problems: Theory, Numerics and Applications, 2016
Source PublicationSpringer Proceedings in Mathematics and Statistics
Volume237
Pages21-40
Conference Date8 1, 2016 - 8 5, 2016
Conference PlaceAachen, Germany
CountryGermany
Author of SourceSpringer New York LLC
Abstract

In this paper, a robust and adaptive framework of finite volume solutions for steady Euler equations is introduced. On a given mesh, the numerical solutions evolve following the standard Godunov process and the algorithm consists of a Newton method for the linearization of the governing equations and a geometrical multigrid method for solving the derived linear system. To improve the simulations, an h-adaptive method is proposed for more efficient discretization by means of local refinement and coarsening of the mesh grids. Several numerical issues such as the regularization of the system, selection of the reconstruction patch, treatment of the curved boundary, as well as the design of the error indicator will be discussed in detail. The effectiveness of the proposed method is successfully examined on a variety of benchmark tests, and it is found that all simulations can be implemented well with one set of parameters, which shows the robustness of the method. © Springer International Publishing AG, part of Springer Nature 2018.

DOI10.1007/978-3-319-91548-7_2
Language英语
Fulltext Access
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Document TypeConference paper
CollectionDEPARTMENT OF MATHEMATICS
Affiliation1.UM Zhuhai Research Institute, Zhuhai; Guangdong Province, China;
2.University of Macau, China;
3.Southern University of Science and Technology, Shenzhen; Guangdong Province, China
First Author AffilicationUniversity of Macau
Recommended Citation
GB/T 7714
Hu, Guanghui,Meng, Xucheng,Tang, Tao. On robust and adaptive finite volume methods for steady euler equations[C]//Springer New York LLC,2018:21-40.
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