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- W2604180248 abstract "A simple and efficient a posteriori slope limiter (Post Limiter) is proposed for compressible NavierStokes and Euler equations, and examined in 1D and 2D. The Post Limiter tries to employ un-limited solutions where and when possible (even at shocks), and blend the un-limited and (1st-order) limited solutions smoothly, leading to equivalently four times resolution in 1D. This idea was inspired by a posteriori limiting approaches originally developed by Clain et al. (2011) [18] for higher-order flow computations, but proposed here is an alternative suitable and simplified for 2nd-order spatial accuracy with improved both solution and convergence. In fact, any iteration processes are no longer required to determine optimal orders of accuracy, since the limited and un-limited values are available at one time at 2nd-order. In 2D, several numerical examples have been dealt with, and both the =1/3 MUSCL (in a structured solver) and GreenGauss (in an unstructured solver) reconstructions demonstrated resolution improvement (nearly 44 times), convergence acceleration, and removal of numerical noises. Even on triangular meshes (on which least-squares reconstruction is used), the unstructured solver showed the improved solutions if cell geometries (cell-orientation angles) are properly taken into account. Therefore, the Post Limiter is readily incorporated into existing codes." @default.
- W2604180248 created "2017-04-14" @default.
- W2604180248 creator A5009675131 @default.
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- W2604180248 date "2017-07-01" @default.
- W2604180248 modified "2023-09-25" @default.
- W2604180248 title "Simple a posteriori slope limiter (Post Limiter) for high resolution and efficient flow computations" @default.
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- W2604180248 doi "https://doi.org/10.1016/j.jcp.2017.04.002" @default.
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