The Fictitious Domain Method with Sharp Interface for Elasticity Systems with General Jump Embedded Boundary Conditions
Year: 2021
Author: Mohamed Kara, Salim Mesbahi, Philippe Angot
Advances in Applied Mathematics and Mechanics, Vol. 13 (2021), Iss. 1 : pp. 119–139
Abstract
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 method. The 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 domain. Here, we present a cell-centered finite volume method to discretize the fictitious domain problem. The proposed method is numerically validated for different test cases. This 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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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/aamm.OA-2019-0119
Advances in Applied Mathematics and Mechanics, Vol. 13 (2021), Iss. 1 : pp. 119–139
Published online: 2021-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 21
Keywords: Fictitious domain method sharp interface elasticity system jump embedded boundary conditions finite volume method.