Inverse Lax-Wendroff Boundary Treatment: a Survey
نویسندگان
چکیده
منابع مشابه
Inverse Lax-Wendroff procedure for numerical boundary conditions of hyperbolic equations: survey and new developments
Abstract. In this paper, we give a survey and discuss new developments and computational results for a high order accurate numerical boundary condition based on finite difference methods for solving hyperbolic equations on Cartesian grids, while the physical domain can be arbitrarily shaped. The challenges are the wide stencil for the high order scheme and the fact that the physical boundary do...
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We develop a high order finite difference numerical boundary condition for solving hyperbolic conservation laws on a Cartesian mesh. The challenge results from the wide stencil of the interior high order scheme and the fact that the boundary intersects the grids in an arbitrary fashion. Our method is based on an inverse Lax-Wendroff procedure for the inflow boundary conditions. We repeatedly us...
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ژورنال
عنوان ژورنال: Communications in Mathematical Research
سال: 2022
ISSN: ['1674-5647', '2707-8523']
DOI: https://doi.org/10.4208/cmr.2022-0015