Paper Info
Title
Boundary Update Via Resolvent For Fluidsstructure Interaction
Abstract
We propose a BOundary Update using Resolvent (BOUR) partitioned method, second-order accurate in time, unconditionally stable, for the interaction between a viscous incompressible fluid and a thin structure. The method is algorithmically similar to the sequential Backward Euler - Forward Euler implementation of the midpoint quadrature rule. (i) The structure and fluid sub-problems are first solved using a Backward Euler scheme, (ii) the velocities of fluid and structure are updated on the boundary via a second-order consistent resolvent operator, and then (iii) the structure and fluid sub-problems are solved again, using a Forward Euler scheme. The stability analysis based on energy estimates shows that the scheme is unconditionally stable. Error analysis of the semi-discrete problem yields second-order convergence in time. The two numerical examples conirm theoretical convergence analysis results and show an excellent agreement between the proposed partitioned scheme and the monolithic scheme.
Year
DOI
Venue
2021
10.1515/jnma-2019-0081
JOURNAL OF NUMERICAL MATHEMATICS
Keywords
DocType
Volume
luidsstructure interaction, non-iterative partitioned method, second order accuracy, unconditional stability
Journal
29
Issue
ISSN
Citations 
1
1570-2820
0
PageRank 
References 
Authors
0.34
0
2
Name
Order
Citations
PageRank
Martina Bukač1103.39
Catalin Trenchea2489.69