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**Harvard**

Hermansson, J. (2003) *Finite Element Procedures for Fluid-structure Interaction*. Göteborg : Chalmers University of Technology (Doktorsavhandlingar vid Chalmers tekniska högskola. Ny serie, nr: 2001).

** BibTeX **

@book{

Hermansson2003,

author={Hermansson, Joakim},

title={Finite Element Procedures for Fluid-structure Interaction},

isbn={91-7291-319-3},

abstract={This thesis concerns finite element (FE) methods for solving fluid-structure interaction (FSI) problems. Two types of fluid-structure interaction are considered. <p />A finite element method for solving the interaction between a flowing incompressible fluid and a linear elastic structure is proposed. The flow is assumed to be laminar. The fluid is discretized using space-time finite elements in order to obtain an arbitrary Lagrangian-Eulerian formulation. The coupling, which uses velocities, is enforced weakly by the use of Nitsche's method. The weak coupling allows for non-matching meshes at the interaction boundaries. Since linear elasticity is assumed the deformations of the solid are not taken into account. However, the formulation allows the solid to undergo rigid body translations. In such cases, or if a free surface is present, the FE mesh is smoothed using a new algorithm based on Winslow's method. The proposed smoother can produce, or preserve, stretched elements. Numerical examples are given. <p />Two formulations for solving acoustic FSI problems in the frequency domain are proposed. The fluid is formulated in displacements using the Raviart-Thomas element. This choice gives eigensolutions free from spurious eigenmodes with non-zero eigenfrequencies. A formulation with a strong coupling is proposed. The formulation uses the stabilized Crouzeix-Raviart element for the solid. Finally, a formulation where the coupling is enforced weakly by the use of Nitsche's method is proposed. This allows for non-matching meshes. Numerical examples are given.},

publisher={Institutionen för tillämpad mekanik, Chalmers tekniska högskola,},

place={Göteborg},

year={2003},

series={Doktorsavhandlingar vid Chalmers tekniska högskola. Ny serie, no: 2001},

keywords={FEM, FSI, ALE, space-time FE, acoustic FSI, Raviart-Thomas, stabilized Crouzeix-Raviart, weak coupling, Nitsche's method, mesh smoothing, stretched elements, Winslow's method},

}

** RefWorks **

RT Dissertation/Thesis

SR Print

ID 107

A1 Hermansson, Joakim

T1 Finite Element Procedures for Fluid-structure Interaction

YR 2003

SN 91-7291-319-3

AB This thesis concerns finite element (FE) methods for solving fluid-structure interaction (FSI) problems. Two types of fluid-structure interaction are considered. <p />A finite element method for solving the interaction between a flowing incompressible fluid and a linear elastic structure is proposed. The flow is assumed to be laminar. The fluid is discretized using space-time finite elements in order to obtain an arbitrary Lagrangian-Eulerian formulation. The coupling, which uses velocities, is enforced weakly by the use of Nitsche's method. The weak coupling allows for non-matching meshes at the interaction boundaries. Since linear elasticity is assumed the deformations of the solid are not taken into account. However, the formulation allows the solid to undergo rigid body translations. In such cases, or if a free surface is present, the FE mesh is smoothed using a new algorithm based on Winslow's method. The proposed smoother can produce, or preserve, stretched elements. Numerical examples are given. <p />Two formulations for solving acoustic FSI problems in the frequency domain are proposed. The fluid is formulated in displacements using the Raviart-Thomas element. This choice gives eigensolutions free from spurious eigenmodes with non-zero eigenfrequencies. A formulation with a strong coupling is proposed. The formulation uses the stabilized Crouzeix-Raviart element for the solid. Finally, a formulation where the coupling is enforced weakly by the use of Nitsche's method is proposed. This allows for non-matching meshes. Numerical examples are given.

PB Institutionen för tillämpad mekanik, Chalmers tekniska högskola,

T3 Doktorsavhandlingar vid Chalmers tekniska högskola. Ny serie, no: 2001

LA eng

OL 30