TY - JOUR
T1 - The Fictitious Domain Method with Sharp Interface for Elasticity Systems with General Jump Embedded Boundary Conditions
AU - Kara , Mohamed
AU - Mesbahi , Salim
AU - Angot , Philippe
JO - Advances in Applied Mathematics and Mechanics
VL - 1
SP - 119
EP - 139
PY - 2020
DA - 2020/10
SN - 13
DO - http://doi.org/10.4208/aamm.OA-2019-0119
UR - https://global-sci.org/intro/article_detail/aamm/18343.html
KW - Fictitious domain method, sharp interface, elasticity system, jump embedded boundary conditions, finite volume method.
AB - <p style="text-align: justify;">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.</p>