In this doctoral work, we adress various problems arising when dealing with multi-physical simulations using a segregated (non-monolithic) approach. We concentrate on a few specific problems and focus on the solution of aeroelastic <p>flutter for linear elastic structures in compressible fl<p>ows, conjugate heat transfer for re-entry vehicles including thermo-chemical reactions and finally, industrial electro-chemical plating processes which often include<p>stiff source terms. These problems are often solved using specifically developed<p>solvers, but these cannot easily be reused for different purposes. We have therefore considered the development of a <p>flexible and reusable software platform for the simulation of multi-physics problems. We have based this<p>development on the COOLFluiD framework developed at the von Karman Institute in collaboration with a group of partner institutions.<p>For the solution of fl<p>uid fl<p>ow problems involving compressible <p>flows, we have used the Finite Volume method and we have focused on the application of the method to moving and deforming computational domains using the Arbitrary Lagrangian Eulerian formulation. Validation on a series of testcases (including turbulent flows) is shown. In parallel, novel time integration<p>methods have been derived from two popular time discretization methods.<p>They allow to reduce the computational effort needed for unsteady fl<p>ow computations.<p>Good numerical properties have been obtained for both methods.<p>For the computations on deforming domains, a series of mesh deformation techniques are described and compared. In particular, the effect of the stiffness definition is analyzed for the Solid material analogy technique. Using<p>the techniques developed, large movements can be obtained while preserving a good mesh quality. In order to account for very large movements for which mesh deformation techniques lead to badly behaved meshes, remeshing is also considered.<p>We also focus on the numerical discretization of a class of physical models that are often associated with <p>fluid fl<p>ows in coupled problems. For the elliptic problems considered here (elasticity, heat conduction and electrochemical<p>potential problems), the implementation of a Finite Element solver is presented. Standard techniques are described and applied for a variety of problems, both steady and unsteady.<p>Finally, we discuss the coupling of the <p>fluid flow solver with the finite element solver for a series of applications. We concentrate only on loosely and strongly coupled algorithms and the issues associated with their use and implementation. The treatment of non-conformal meshes at the interface between two coupled computational domains is discussed and the problem<p>of the conservation of global quantities is analyzed. The software development of a <p>flexible multi-physics framework is also detailed. Then, several coupling algorithms are described and assessed for testcases in aeroelasticity and conjugate heat transfer showing the integration of the <p>fluid and solid solvers within a multi-physics framework. A novel strongly coupled algorithm, based on a Jacobian-Free Newton-Krylov method is also presented and applied to stiff coupled electrochemical potential problems. / Doctorat en Sciences de l'ingénieur / info:eu-repo/semantics/nonPublished
| Identifer | oai:union.ndltd.org:ulb.ac.be/oai:dipot.ulb.ac.be:2013/210407 |
| Date | 17 December 2008 |
| Creators | Wuilbaut, Thomas A.I.J. |
| Contributors | Deconinck, Herman, Degrez, Gérard, Migeot, Jean-Louis, Geuzaine, Philippe, Coussement, Grégory |
| Publisher | Universite Libre de Bruxelles, Université libre de Bruxelles, Faculté des sciences appliquées – Mécanique, Bruxelles |
| Source Sets | Université libre de Bruxelles |
| Language | French |
| Detected Language | English |
| Type | info:eu-repo/semantics/doctoralThesis, info:ulb-repo/semantics/doctoralThesis, info:ulb-repo/semantics/openurl/vlink-dissertation |
| Format | 1 v., No full-text files |
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