Analysis of Meshfree Methods for Lagrangian Fluid-Structure Interaction

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

Description

Title: Analysis of Meshfree Methods for Lagrangian Fluid-Structure Interaction
Author/s:
  • Urrecha Espluga, Miguel
Contributor/s:
  • Romero Olleros, Ignacio
Item Type: Thesis (Doctoral)
Date: 2014
Subjects:
Faculty: E.T.S.I. Industriales (UPM)
Department: Ingeniería Mecánica
Creative Commons Licenses: Recognition - No derivative works - Non commercial

Full text

[img]
Preview
PDF - Requires a PDF viewer, such as GSview, Xpdf or Adobe Acrobat Reader
Download (3MB) | Preview

Abstract

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.

More information

Item ID: 33660
DC Identifier: http://oa.upm.es/33660/
OAI Identifier: oai:oa.upm.es:33660
Deposited by: Archivo Digital UPM 2
Deposited on: 23 Jan 2015 08:36
Last Modified: 22 Jul 2015 22:56
  • Logo InvestigaM (UPM)
  • Logo GEOUP4
  • Logo Open Access
  • Open Access
  • Logo Sherpa/Romeo
    Check whether the anglo-saxon journal in which you have published an article allows you to also publish it under open access.
  • Logo Dulcinea
    Check whether the spanish journal in which you have published an article allows you to also publish it under open access.
  • Logo de Recolecta
  • Logo del Observatorio I+D+i UPM
  • Logo de OpenCourseWare UPM