A strongly coupled method for fluid-structure interaction
Abstract/Contents
- Abstract
- In this dissertation we consider the problem of simulating the interaction of fluids and structures. We present a strongly coupled (monolithic) fluid structure interaction framework for incompressible fluid flow using a fictitious domain approach to allow non-aligned fluid and structure meshes. We define boundary conditions between the domains and solve a coupled linear system for the impulse transfers which enforce them as well as the incompressibility condition for the fluid and the damping terms for the structure. We first present a symmetric, albeit indefinite linear system which satisfies these requirements and is stable for large time steps, high fluid/structure density ratios, and stiff constitutive models. The resulting method considers only the surface properties of the structure in the coupling and is therefore able to handle a wide range of constitutive models along with both thin and volumetric structures. We then demonstrate that by factoring the structure damping matrix we can obtain a symmetric and positive definite (SPD) coupled system. A fully converged solution to the new system is identical to that of the indefinite system and the SPD system can be solved via the conjugate gradient method and is easier to analyze and implement preconditioners for. The factoring technique is quite general and can be applied to the systems resulting from most dissipative forces, which we demonstrate for fluid viscosity (including Stokes flow) and intra-structure constraints. Finally, while no-slip boundary conditions are physical in most cases, often one does not have the luxury of a fully resolved simulation mesh and thus no-slip boundary conditions can result in nonphysically large boundary layers. We address this by considering extensions of the coupling scheme to slip boundary conditions.
Description
| Type of resource | text |
|---|---|
| Form | electronic; electronic resource; remote |
| Extent | 1 online resource. |
| Publication date | 2010 |
| Issuance | monographic |
| Language | English |
Creators/Contributors
| Associated with | Robinson-Mosher, Avram Lev |
|---|---|
| Associated with | Stanford University, Computer Science Department |
| Primary advisor | Fedkiw, Ronald P, 1968- |
| Thesis advisor | Fedkiw, Ronald P, 1968- |
| Thesis advisor | Farhat, Charbel |
| Thesis advisor | Klemmer, Scott |
| Advisor | Farhat, Charbel |
| Advisor | Klemmer, Scott |
Subjects
| Genre | Theses |
|---|
Bibliographic information
| Statement of responsibility | Avram Lev Robinson-Mosher. |
|---|---|
| Note | Submitted to the Department of Computer Science. |
| Thesis | Thesis (Ph. D.)--Stanford University, 2010. |
| Location | electronic resource |
Access conditions
- Copyright
- © 2010 by Avram Lev Robinson-Mosher
- License
- This work is licensed under a Creative Commons Attribution Non Commercial 3.0 Unported license (CC BY-NC).
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