Massachusetts Institute of Technology
Solution of fluid-structure interaction problems using a discontinuous Galerkin technique
Abstract
dc:description.abstractThe present work aims to address the problem of fluid-structure interaction using a discontinuous Galerkin approach. Starting from the Navier-Stokes equations on a fixed domain, an arbitrary Lagrangian Eulerian (ALE) approach is used to derive the equations for the deforming domain. A geometric conservation law (GCL) is then introduced, which guarantees freestream preservation of the numerical scheme. The space discretization is performed using a discontinuous Galerkin method and time integration is performed using either an explicit four stage Runge-Kutta scheme or an implicit BDF2 scheme. The mapping parameters for the ALE formulation are then obtained using algorithms based on radial basis functions (RBF) or linear elasticity. These strategies are robust and can be applied to bodies with arbitrary shapes and undergoing arbitrary motions. The robustness and accuracy of the ALE scheme coupled with these mapping strategies is then demonstrated by solving some model problems. The ability of the scheme to handle complex flow problems is demonstrated by analyzing the low Reynolds number flow over an oscillating circular cylinder.
Degree
thesis:*- Department dc:contributor.department
- Massachusetts Institute of Technology. Computation for Design and Optimization Program.
- Grantor dc:publisher
- Massachusetts Institute of Technology
- Year dc:date.issued
- 2008
Author and committee
dc:creator, dc:contributor.*- Author dc:creator
-
- Mohnot, Anshul
- Advisor dc:contributor.advisor
-
- Jamie Peraire.
Subjects
dc:subject × 1Rights
dc:rights- Statement dc:rights
-
- M.I.T. theses are protected by copyright. They may be viewed from this source for any purpose, but reproduction or distribution in any format is prohibited without written permission. See provided URL for inquiries about permission.
- Licence dc:rights.uri
- Language dc:language.iso
- eng
Identifiers
dc:identifier.*- Handle dc:identifier.uri
- http://hdl.handle.net/1721.1/43798
- OAI identifier oai:identifier
- oai:dspace.mit.edu:1721.1/43798