Graphics gems IV
SIAM Journal on Numerical Analysis
Modeling biofilm processes using the immersed boundary method
Journal of Computational Physics
Fast, minimum storage ray-triangle intersection
Journal of Graphics Tools
Unsteady flow structure interaction for incompressible flows using deformable hybrid grids
Journal of Computational Physics
Simulating the motion of flexible pulp fibres using the immersed boundary method
Journal of Computational Physics
Computation of solid-liquid phase fronts in the sharp interface limit on fixed grids
Journal of Computational Physics
Combined immmersed-boundary finite-difference methods for three-dimensional complex flow simulations
Journal of Computational Physics
A front-tracking method for the computations of multiphase flow
Journal of Computational Physics
An immersed-boundary finite-volume method for simulations of flow in complex geometries
Journal of Computational Physics
Simulation of a flapping flexible filament in a flowing soap film by the immersed boundary method
Journal of Computational Physics
Journal of Computational Physics
A ghost-cell immersed boundary method for flow in complex geometry
Journal of Computational Physics
Journal of Computational Physics
Journal of Computational Physics
Immersed boundary method for flow around an arbitrarily moving body
Journal of Computational Physics
An immersed interface method for simulating the interaction of a fluid with moving boundaries
Journal of Computational Physics
Journal of Computational Physics
Journal of Computational Physics
An immersed boundary method for complex incompressible flows
Journal of Computational Physics
A Newton method using exact jacobians for solving fluid-structure coupling
Computers and Structures
An implicit immersed boundary method for three-dimensional fluid-membrane interactions
Journal of Computational Physics
Journal of Computational Physics
Journal of Computational Physics
Computers & Mathematics with Applications
Simulations of single and multiple swimmers with non-divergence free deforming geometries
Journal of Computational Physics
Journal of Computational Physics
Visualizing the wake of aquatic swimmers
Proceedings of the 2011 companion on High Performance Computing Networking, Storage and Analysis Companion
Deforming composite grids for solving fluid structure problems
Journal of Computational Physics
Mathematical and Computer Modelling: An International Journal
Journal of Computational Physics
Computer Methods and Programs in Biomedicine
Hi-index | 31.48 |
The sharp-interface CURVIB approach of Ge and Sotiropoulos [L. Ge, F. Sotiropoulos, A numerical method for solving the 3D unsteady incompressible Navier-Stokes equations in curvilinear domains with complex immersed boundaries, Journal of Computational Physics 225 (2007) 1782-1809] is extended to simulate fluid structure interaction (FSI) problems involving complex 3D rigid bodies undergoing large structural displacements. The FSI solver adopts the partitioned FSI solution approach and both loose and strong coupling strategies are implemented. The interfaces between immersed bodies and the fluid are discretized with a Lagrangian grid and tracked with an explicit front-tracking approach. An efficient ray-tracing algorithm is developed to quickly identify the relationship between the background grid and the moving bodies. Numerical experiments are carried out for two FSI problems: vortex induced vibration of elastically mounted cylinders and flow through a bileaflet mechanical heart valve at physiologic conditions. For both cases the computed results are in excellent agreement with benchmark simulations and experimental measurements. The numerical experiments suggest that both the properties of the structure (mass, geometry) and the local flow conditions can play an important role in determining the stability of the FSI algorithm. Under certain conditions the FSI algorithm is unconditionally unstable even when strong coupling FSI is employed. For such cases, however, combining the strong coupling iteration with under-relaxation in conjunction with the Aitken's acceleration technique is shown to effectively resolve the stability problems. A theoretical analysis is presented to explain the findings of the numerical experiments. It is shown that the ratio of the added mass to the mass of the structure as well as the sign of the local time rate of change of the force or moment imparted on the structure by the fluid determine the stability and convergence of the FSI algorithm. The stabilizing role of under-relaxation is also clarified and the upper bound of the under-relaxation coefficient, required for stability, is derived.