An adaptive finite volume solver for steady Euler equations with non-oscillatory k-exact reconstruction

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	An adaptive finite volume solver for steady Euler equations with non-oscillatory k-exact reconstruction
	Hu, Guanghui1 ; Yi, Nianyu 2
	2016-05-01
Source Publication	Journal of Computational Physics
ISSN	0021-9991
Pages	235-251
Abstract	In this paper, we present an adaptive finite volume method for steady Euler equations with a non-oscillatory k-exact reconstruction on unstructured mesh. The numerical framework includes a Newton method as an outer iteration to linearize the Euler equations, and a geometrical multigrid method as an inner iteration to solve the derived linear system. A non-oscillatory k-exact reconstruction of the conservative solution in each element is proposed for the high order and non-oscillatory behavior of the numerical solutions. The importance on handling the curved boundary in an appropriate way is also studied with the numerical experiments. The h-adaptive method is introduced to enhance the efficiency of the algorithm. The numerical tests show successfully that the quality solutions can be obtained smoothly with the proposed algorithm, i.e., the expected convergence order of the numerical solution with the mesh refinement can be reached, while the non-oscillation shock structure can be obtained. Furthermore, the mesh adaptive method with the appropriate error indicators can effectively enhance the implementation efficiency of numerical method, while the steady state convergence and numerical accuracy are kept in the meantime.
Keyword	Steady Euler Equations Finite Volume Methods Non-oscillatory K-exact Reconstruction Newton Iteration Adaptive Methods
URL	View the original
Language	英語English
The Source to Article	PB_Publication
Document Type	Journal article
Collection	DEPARTMENT OF MATHEMATICS
Corresponding Author	Hu, Guanghui
Affiliation	1.University of Macau 2.Xiangtan University
First Author Affilication	University of Macau
Corresponding Author Affilication	University of Macau
Recommended Citation GB/T 7714	Hu, Guanghui,Yi, Nianyu. An adaptive finite volume solver for steady Euler equations with non-oscillatory k-exact reconstruction[J]. Journal of Computational Physics, 2016, 235-251.
APA	Hu, Guanghui., & Yi, Nianyu (2016). An adaptive finite volume solver for steady Euler equations with non-oscillatory k-exact reconstruction. Journal of Computational Physics, 235-251.
MLA	Hu, Guanghui,et al."An adaptive finite volume solver for steady Euler equations with non-oscillatory k-exact reconstruction".Journal of Computational Physics (2016):235-251.

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