One-and Multi-dimensional CWENOZ Reconstructions for Implementing Boundary Conditions Without Ghost Cells
作者机构：Dipartimento di Scienza e Alta TecnologiaUniversitàdell'InsubriaVia Valleggio1122100 ComoItaly Dipartimento di MatematicaUniversitàdi TorinoVia C.Alberto1010124 TorinoItaly Dipartimento di MatematicaUniversitàLa SapienzaP.le Aldo Moro500185 RomaItaly
出 版 物：《Communications on Applied Mathematics and Computation》 (应用数学与计算数学学报（英文）)
年 卷 期：2023年第5卷第1期
页 面：143-169页
核心收录：
学科分类：08[工学] 0701[理学-数学] 0812[工学-计算机科学与技术（可授工学、理学学位）]
主 题：High-order finite volume schemes Boundary conditions without ghost cells Hyperbolic systems CWENOZ reconstruction Adaptive order reconstructions
摘 要：We address the issue of point value reconstructions from cell averages in the context of third-order finite volume schemes,focusing in particular on the cells close to the boundaries of the *** fact,most techniques in the literature rely on the creation of ghost cells outside the boundary and on some form of extrapolation from the inside that,taking into account the boundary conditions,fills the ghost cells with appropriate values,so that a standard reconstruction can be applied also in the boundary *** Naumann et al.(***.325:252–***://***/10.1016/***.2017.12.041,2018),motivated by the difficulty of choosing appropriate boundary conditions at the internal nodes of a network,a different technique was explored that avoids the use of ghost cells,but instead employs for the boundary cells a different stencil,biased towards the interior of the *** this paper,extending that approach,which does not make use of ghost cells,we propose a more accurate reconstruction for the one-dimensional case and a two-dimensional one for Cartesian *** several numerical tests,we compare the novel reconstruction with the standard approach using ghost cells.
维普期刊数据库