A computational framework based on an embedded boundary method for nonlinear multi-phase fluid-structure interactions
- Nonlinear fluid-structure interaction (FSI) is a dominating feature in many important engineering applications. Examples include underwater implosions, pipeline explosions, flapping wings for micro aerial vehicles, and shock wave lithotripsy. Due to the inherent nonlinearity and system complexity, such problems have not been thoroughly analyzed, which greatly hinders the advance of related engineering fields. This thesis focuses on the development, verification, and validation of a fluid-structure coupled computational framework for the solution of nonlinear multi-phase FSI problems involving high compressions and shock waves, large structural displacements and deformations, self-contact, and possibly the initiation and propagation of cracks in the structure. First, an embedded boundary method for solving 3D multi-phase compressible inviscid flows on arbitrary (i.e. structured and unstructured) non body-conforming CFD grids is presented. Key components include: (1) robust and efficient computational algorithms for tracking open, closed, and cracking fluid-structure interfaces with respect to the fixed, non body-conforming CFD grid; (2) a numerical algorithm based on the exact solution of local, one-dimensional fluid-structure Riemann problems to enforce the no-interpenetration transmission condition at the fluid-structure interface; and (3) two consistent and conservative algorithms for enforcing the equilibrium transmission condition at the same interface. Next, the multi-phase compressible flow solver equipped with the aforementioned embedded boundary method is carefully coupled with an extended finite element method (XFEM) based structure solver, using a partitioned procedure and provably second-order explicit-explicit and implicit-explicit time-integrators. In particular, the interface tracking algorithms in the embedded boundary method are adapted to tracking embedded discrete interfaces with phantom elements and carrying implicitly represented cracks. Finally, the resulting fluid-structure coupled computational framework is applied to the solution of several challenging FSI problems in the fields of aeronautics, underwater implosions and explosions, and pipeline explosions to assess its performance. In particular, two laboratory experiments are considered for validation purpose: the first one concerns the implosive collapse of an air-filled aluminum cylinder; the second one studies the dynamic fracture of pre-flawed aluminum pipes driven by detonation waves. In both cases, the numerical simulation correctly reproduces in a quantitative sense the important features in the experiment.
|Type of resource
|electronic; electronic resource; remote
|1 online resource.
|Stanford University, Institute for Computational and Mathematical Engineering.
|Statement of responsibility
|Kevin Guanyuan Wang.
|Submitted to the Institute for Computational and Mathematical Engineering.
|Thesis (Ph.D.)--Stanford University, 2011.
- © 2011 by Guanyuan Wang
- This work is licensed under a Creative Commons Attribution Non Commercial 3.0 Unported license (CC BY-NC).
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