Title: | Advanced numerical methods for fluid structure interaction | Language: | English | Authors: | Neunteufel, Michael | Qualification level: | Diploma | Keywords: | Finite Elements; Fluid Structure Interaction | Advisor: | Schöberl, Joachim | Issue Date: | 2017 | Number of Pages: | 99 | Qualification level: | Diploma | Abstract: | This thesis deals with the coupling of fluid dynamics with elastic solid structure, namely the Navier-Stokes equations and the nonlinear elastic wave equation, which is due to the different types of these PDEs a challenging problem. Two different discretizations for the Navier-Stokes equations are discussed: the popular Taylor-Hood elements and the H(div)-conforming Hybrid Discontinuous Galerkin method, which ensures exact divergence-freeness. For the elastic wave equation a standard Newmark method is used and a new H(curl)-conforming method is introduced. Therefore, an additional variable is needed: the time derivative of the momentum, which is in the dual space of H(curl). The Arbitrary Lagrangian Eulerian description is well understood for H1-conforming methods, where the mesh velocity appears in the Navier-Stokes equations. For H(div)-conforming schemes, however, the ALE method is more involved and an additional term appears, which plays a crucial role. The methods are implemented in NGS-Py, which is based on the finite element library Netgen/NGSolve and tested with proper examples. |
URI: | https://resolver.obvsg.at/urn:nbn:at:at-ubtuw:1-101996 http://hdl.handle.net/20.500.12708/10406 |
Library ID: | AC13790721 | Organisation: | E101 - Institut für Analysis und Scientific Computing | Publication Type: | Thesis Hochschulschrift |
Appears in Collections: | Thesis |
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Advanced numerical methods for fluid structure interaction.pdf | 3.98 MB | Adobe PDF | ![]() View/Open |
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