Volume 9, Issue 3
A Robust WENO Type Finite Volume Solver for Steady Euler Equations on Unstructured Grids

Guanghui Hu, Ruo Li & Tao Tang

Commun. Comput. Phys., 9 (2011), pp. 627-648.

Published online: 2011-03

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  • Abstract

A recent work of Li et al. [Numer. Math. Theor. Meth. Appl., 1(2008), pp. 92-112] proposed a finite volume solver to solve 2D steady Euler equations. Although the Venkatakrishnan limiter is used to prevent the non-physical oscillations nearby the shock region, the overshoot or undershoot phenomenon can still be observed. Moreover, the numerical accuracy is degraded by using Venkatakrishnan limiter. To fix the problems, in this paper the WENO type reconstruction is employed to gain both the accurate approximations in smooth region and non-oscillatory sharp profiles near the shock discontinuity. The numerical experiments will demonstrate the efficiency and robustness of the proposed numerical strategy.

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@Article{CiCP-9-627, author = {}, title = {A Robust WENO Type Finite Volume Solver for Steady Euler Equations on Unstructured Grids}, journal = {Communications in Computational Physics}, year = {2011}, volume = {9}, number = {3}, pages = {627--648}, abstract = {

A recent work of Li et al. [Numer. Math. Theor. Meth. Appl., 1(2008), pp. 92-112] proposed a finite volume solver to solve 2D steady Euler equations. Although the Venkatakrishnan limiter is used to prevent the non-physical oscillations nearby the shock region, the overshoot or undershoot phenomenon can still be observed. Moreover, the numerical accuracy is degraded by using Venkatakrishnan limiter. To fix the problems, in this paper the WENO type reconstruction is employed to gain both the accurate approximations in smooth region and non-oscillatory sharp profiles near the shock discontinuity. The numerical experiments will demonstrate the efficiency and robustness of the proposed numerical strategy.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.031109.080410s}, url = {http://global-sci.org/intro/article_detail/cicp/7514.html} }
TY - JOUR T1 - A Robust WENO Type Finite Volume Solver for Steady Euler Equations on Unstructured Grids JO - Communications in Computational Physics VL - 3 SP - 627 EP - 648 PY - 2011 DA - 2011/03 SN - 9 DO - http://doi.org/10.4208/cicp.031109.080410s UR - https://global-sci.org/intro/article_detail/cicp/7514.html KW - AB -

A recent work of Li et al. [Numer. Math. Theor. Meth. Appl., 1(2008), pp. 92-112] proposed a finite volume solver to solve 2D steady Euler equations. Although the Venkatakrishnan limiter is used to prevent the non-physical oscillations nearby the shock region, the overshoot or undershoot phenomenon can still be observed. Moreover, the numerical accuracy is degraded by using Venkatakrishnan limiter. To fix the problems, in this paper the WENO type reconstruction is employed to gain both the accurate approximations in smooth region and non-oscillatory sharp profiles near the shock discontinuity. The numerical experiments will demonstrate the efficiency and robustness of the proposed numerical strategy.

Guanghui Hu, Ruo Li & Tao Tang. (2020). A Robust WENO Type Finite Volume Solver for Steady Euler Equations on Unstructured Grids. Communications in Computational Physics. 9 (3). 627-648. doi:10.4208/cicp.031109.080410s
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