A Robust WENO Type Finite Volume Solver for Steady Euler Equations on Unstructured Grids
2011 ◽
Vol 9
(3)
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pp. 627-648
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AbstractA 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.
2008 ◽
Vol 123
(5)
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pp. 3381-3381
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2006 ◽
Vol 217
(2)
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pp. 277-294
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2021 ◽
Vol 98
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pp. 261-279
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2011 ◽
Vol 230
(11)
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pp. 4201-4215
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2005 ◽
Vol 53
(613)
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pp. 75-80
2017 ◽
Vol 335
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pp. 637-663
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2016 ◽
Vol 314
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pp. 883-908
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