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A reduced-dissipation WENO scheme with automatic dissipation adjustment
(Elsevier, 2020)
[Abstract:] In this paper, we propose a novel modification to the WENO-family schemes to reduce its intrinsic dissipation. In this work, we focus on the WENO5 scheme, which is rewritten in terms of a central plus a dissipative ...
Very high-order method on immersed curved domains for finite difference schemes with regular Cartesian grids
(Elsevier, 2020)
[Abstract:] A new very high-order technique for solving conservation laws with curved boundary domains is proposed. A Finite Difference scheme on Cartesian grids is coupled with an original ghost cell method that provide ...