Name
Title | ||
|---|---|---|
A fixed-mesh method for incompressible flow-structure systems with finite solid deformations |
Abstract | ||
|---|---|---|
A fixed-mesh algorithm is proposed for simulating flow-structure interactions such as those occurring in biological systems, in which both the fluid and solid are incompressible and the solid deformations are large. Several of the well-known difficulties in simulating such flow-structure interactions are avoided by formulating a single set of equations of motion on a fixed Eulerian mesh. The solid's deformation is tracked to compute elastic stresses by an overlapping Lagrangian mesh. In this way, the flow-structure interaction is formulated as a distributed body force and singular surface force acting on an otherwise purely fluid system. These forces, which depend on the solid elastic stress distribution, are computed on the Lagrangian mesh by a standard finite-element method and then transferred to the fixed Eulerian mesh, where the joint momentum and continuity equations are solved by a finite-difference method. The constitutive model for the solid can be quite general. For the force transfer, standard immersed-boundary and immersed-interface methods can be used and are demonstrated. We have also developed and demonstrated a new projection method that unifies the transfer of the surface and body forces in a way that exactly conserves momentum; the interface is still effectively sharp for this approach. The spatial convergence of the method is observed to be between first- and second-order, as in most immersed-boundary methods for membrane flows. The algorithm is demonstrated by the simulations of an advected elastic disk, a flexible leaflet in an oscillating flow, and a model of a swimming jellyfish. |
Year | DOI | Venue |
|---|---|---|
2008 | 10.1016/j.jcp.2007.11.019 | J. Comput. Physics |
Keywords | Field | DocType |
new projection method,immersed-boundary method,immersed-interface method,fixed-mesh method,incompressible flow-structure system,finite-difference method,solid elastic stress distribution,solid deformation,lagrangian mesh,body force,flow-structure interaction,fixed eulerian mesh,finite solid deformation,biological systems,finite element method,equation of motion,incompressible flow,continuity equation,projection method,second order,finite difference method,oscillations,immersed boundary method,constitutive model | Body force,Particle-in-cell,Mathematical analysis,Finite element method,Projection method,Momentum,Equations of motion,Incompressible flow,Mathematics,Constitutive equation | Journal |
Volume | Issue | ISSN |
227 | 6 | Journal of Computational Physics |
Citations | PageRank | References |
13 | 1.10 | 10 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Hong Zhao | 1 | 37 | 2.51 |
| Jonathan B. Freund | 2 | 90 | 7.19 |
| Robert D. Moser | 3 | 57 | 8.55 |