Adjoint-based an adaptive finite volume method for steady Euler equations with non-oscillatory k-exact reconstruction

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	Adjoint-based an adaptive finite volume method for steady Euler equations with non-oscillatory k-exact reconstruction
	HU GUANGHUI 1; MENG XUCHENG1 ; YI NIANYU 2
	2016-06-01
Source Publication	Computers & Fluids
ISSN	0045-7930
Pages	174-183
Abstract	In [An adaptive finite volume solver for steady Euler equations with non-oscillatory k-exact reconstruction, G. H. Hu and N. Y. Yi, J. Comput. Phys., Vol. 312, pp. 235–251], a high order finite volume method was proposed for steady Euler equations. The method consists of a Newton iteration method to linearize the governing equations, and a geometrical multigrid method to solve the derived system. The non-oscillatory k-exact reconstruction was developed towards the high quality solution reconstruction, and h-adaptive method was introduced to handle the efficiency issue. To further improve the numerical method, we study the following two issues in detail in this paper. First, we test the new reconstruction patch for the element which locates on the domain boundary, which could improve the convergence of the steady state significantly. Second, the adjoint-based a posteriori error estimation is introduced for the h-adaptive method, which could deliver more efficient adaptive refinement of the mesh. The numerical tests show the effectiveness of the proposed method.
Keyword	Steady Euler Equations High Order Finite Volume Methods H-adaptive Method Adjoint-based Error Estimation Non-oscillatory K-exact Reconstruction
URL	View the original
Language	英語English
The Source to Article	PB_Publication
Document Type	Journal article
Collection	University of Macau
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,MENG XUCHENG,YI NIANYU. Adjoint-based an adaptive finite volume method for steady Euler equations with non-oscillatory k-exact reconstruction[J]. Computers & Fluids, 2016, 174-183.
APA	HU GUANGHUI., MENG XUCHENG., & YI NIANYU (2016). Adjoint-based an adaptive finite volume method for steady Euler equations with non-oscillatory k-exact reconstruction. Computers & Fluids, 174-183.
MLA	HU GUANGHUI,et al."Adjoint-based an adaptive finite volume method for steady Euler equations with non-oscillatory k-exact reconstruction".Computers & Fluids (2016):174-183.

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