Implicit and higher-order discretization methods for compressible multi-phase fluid and fluid-structure problems
Abstract/Contents
- Abstract
- This thesis describes an embedded boundary framework for multi-phase flow and fluid-structure interaction. This is based on the FIVER method, first introduced in (Farhat, 2008). This framework is capable of handling complex, evolving material interfaces, including structural fracture. This thesis makes a variety of contributions. Among the major contributions are an implicit time stepping method for embedded boundaries with highly nonlinear physical phenomena, which is shown to be up to 40x faster than the corresponding explicit time stepping scheme. Also, a multigrid method for the FIVER embedded boundary method is presented, which enables the solution of steady flow problems nearly 12x faster than a standard Newton-Krylov time stepping scheme. Then a second order extension of FIVER is introduced for multi-fluid and fluid-structure interaction problems. Finally, the stability and accuracy properties of this extension are analyzed.
Description
| Type of resource | text |
|---|---|
| Form | electronic; electronic resource; remote |
| Extent | 1 online resource. |
| Publication date | 2014 |
| Issuance | monographic |
| Language | English |
Creators/Contributors
| Associated with | Main, Geoffrey Alexander |
|---|---|
| Associated with | Stanford University, Institute for Computational and Mathematical Engineering. |
| Primary advisor | Farhat, Charbel |
| Thesis advisor | Farhat, Charbel |
| Thesis advisor | Banks, Jeffrey |
| Thesis advisor | Lew, Adrian |
| Advisor | Banks, Jeffrey |
| Advisor | Lew, Adrian |
Subjects
| Genre | Theses |
|---|
Bibliographic information
| Statement of responsibility | Geoffrey Alexander Main. |
|---|---|
| Note | Submitted to the Institute for Computational and Mathematical Engineering. |
| Thesis | Thesis (Ph.D.)--Stanford University, 2014. |
| Location | electronic resource |
Access conditions
- Copyright
- © 2014 by Geoffrey Alexander Main
- License
- This work is licensed under a Creative Commons Attribution Non Commercial 3.0 Unported license (CC BY-NC).
Also listed in
Loading usage metrics...