[HTML][HTML] A stable loosely-coupled scheme for cardiac electro-fluid-structure interaction
We present a loosely coupled scheme for the numerical simulation of the cardiac electro-
fluid-structure interaction problem, whose solution is typically computationally intensive due …
fluid-structure interaction problem, whose solution is typically computationally intensive due …
Partitioned and monolithic algorithms for the numerical solution of cardiac fluid-structure interaction
We review and compare different fluid-structure interaction (FSI) numerical methods in the
context of heart modeling, aiming at assessing their computational efficiency for cardiac …
context of heart modeling, aiming at assessing their computational efficiency for cardiac …
Refactorization of Cauchy's method: A second-order partitioned method for fluid–thick structure interaction problems
M Bukač, A Seboldt, C Trenchea - Journal of Mathematical Fluid …, 2021 - Springer
This work focuses on the derivation and the analysis of a novel, strongly-coupled partitioned
method for fluid–structure interaction problems. The flow is assumed to be viscous and …
method for fluid–structure interaction problems. The flow is assumed to be viscous and …
On the choice of interface parameters in Robin–Robin loosely coupled schemes for fluid–structure interaction
We consider two loosely coupled schemes for the solution of the fluid–structure interaction
problem in the presence of large added mass effect. In particular, we introduce the Robin …
problem in the presence of large added mass effect. In particular, we introduce the Robin …
[HTML][HTML] Quasi-simultaneous coupling methods for partitioned problems in computational hemodynamics
G Rozema, AEP Veldman, NM Maurits - Applied Numerical Mathematics, 2023 - Elsevier
The paper describes the numerical coupling challenges in multiphysics problems like the
simulation of blood flow in compliant arteries. In addition to an iterative coupling between the …
simulation of blood flow in compliant arteries. In addition to an iterative coupling between the …
A second-order correction method for loosely coupled discretizations applied to parabolic-parabolic interface problems
We consider a parabolic-parabolic interface problem and construct a loosely coupled
prediction-correction scheme based on the Robin-Robin splitting method analyzed in [J …
prediction-correction scheme based on the Robin-Robin splitting method analyzed in [J …
Estimates of discrete time derivatives for the parabolic-parabolic Robin-Robin coupling method
We consider a loosely coupled, non-iterative Robin-Robin coupling method proposed and
analyzed in [J. Numer. Math., 31 (1): 59--77, 2023] for a parabolic-parabolic interface …
analyzed in [J. Numer. Math., 31 (1): 59--77, 2023] for a parabolic-parabolic interface …
Semi-monolithic formulation based on a projection method for simulating fluid–structure interaction problems
ST Ha, HG Choi - Computers & Mathematics with Applications, 2023 - Elsevier
For the simulation of fluid–structure interaction (FSI) problems, the monolithic method
provides more robust convergence than the partitioned method but requires solving a larger …
provides more robust convergence than the partitioned method but requires solving a larger …
Robin-Robin loose coupling for incompressible fluid-structure interaction: non-linear setting and nearly-optimal error analysis
The numerical simulation of incompressible fluid-structure interaction systems with loosely
coupled schemes is a delicate problem. Indeed, the splitting method must both be stable for …
coupled schemes is a delicate problem. Indeed, the splitting method must both be stable for …
Insights into the performance of loosely-coupled FSI schemes based on Robin boundary conditions
C Kadapa - arXiv preprint arXiv:2105.14831, 2021 - arxiv.org
Robin boundary conditions are a natural consequence of employing Nitsche's method for
imposing the kinematic velocity constraint at the fluid-solid interface. Loosely-coupled FSI …
imposing the kinematic velocity constraint at the fluid-solid interface. Loosely-coupled FSI …