Analysis of Meshfree Methods for Lagrangian Fluid-Structure Interaction

Urrecha Espluga, Miguel (2014). Analysis of Meshfree Methods for Lagrangian Fluid-Structure Interaction. Tesis (Doctoral), E.T.S.I. Industriales (UPM).

Descripción

Título: Analysis of Meshfree Methods for Lagrangian Fluid-Structure Interaction
Autor/es:
  • Urrecha Espluga, Miguel
Director/es:
  • Romero Olleros, Ignacio
Tipo de Documento: Tesis (Doctoral)
Fecha: 2014
Materias:
Escuela: E.T.S.I. Industriales (UPM)
Departamento: Ingeniería Mecánica
Licencias Creative Commons: Reconocimiento - Sin obra derivada - No comercial

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Resumen

In this dissertation a new numerical method for solving Fluid-Structure Interaction (FSI) problems in a Lagrangian framework is developed, where solids of different constitutive laws can suffer very large deformations and fluids are considered to be newtonian and incompressible. For that, we first introduce a meshless discretization based on local maximum-entropy interpolants. This allows to discretize a spatial domain with no need of tessellation, avoiding the mesh limitations. Later, the Stokes flow problem is studied. The Galerkin meshless method based on a max-ent scheme for this problem suffers from instabilities, and therefore stabilization techniques are discussed and analyzed. An unconditionally stable method is finally formulated based on a Douglas-Wang stabilization. Then, a Langrangian expression for fluid mechanics is derived. This allows us to establish a common framework for fluid and solid domains, such that interaction can be naturally accounted. The resulting equations are also in the need of stabilization, what is corrected with an analogous technique as for the Stokes problem. The fully Lagrangian framework for fluid/solid interaction is completed with simple point-to-point and point-to-surface contact algorithms. The method is finally validated, and some numerical examples show the potential scope of applications.

Más información

ID de Registro: 33660
Identificador DC: http://oa.upm.es/33660/
Identificador OAI: oai:oa.upm.es:33660
Depositado por: Archivo Digital UPM 2
Depositado el: 23 Ene 2015 08:36
Ultima Modificación: 22 Jul 2015 22:56
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