The Fictitious Domain Method with Sharp Interface for Elasticity Systems with General Jump Embedded Boundary Conditions
作者机构：Applied Mathematics LaboratoryDepartment of MathematicsFaculty of SciencesFerhat Abbas UniversitySetifAlgeria Fundamental and Numerical Mathematics LaboratoryDepartment of MathematicsFaculty of SciencesFerhat Abbas UniversitySetifAlgeria Aix-Marseille Universit´eInstitut de Math´ematiques de MarseilleCNRS UMR 7373MarseilleFrance
出 版 物：《Advances in Applied Mathematics and Mechanics》 (应用数学与力学进展（英文）)
年 卷 期：2021年第13卷第1期
页 面：119-139页
核心收录：
学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学]
主 题：Fictitious domain method sharp interface elasticity system jump embedded boundary conditions finite volume method
摘 要：In framework of the fictitious domain methods with immersed interfaces for the elasticity problem,the present contribution is to study and numerically validate the jump-integrated boundary conditions method with sharp interface for the vector elasticity system discretized by a proposed finite volume *** main idea of the fictitious domain approach consists in embedding the original domain of study into a geometrically larger and simpler one called the fictitious ***,we present a cell-centered finite volume method to discretize the fictitious domain *** proposed method is numerically validated for different test *** work can be considered as a first step before more challenging problems such as fluid-structure interactions or moving interface problems.
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