Level Set Methods for Fluid-Structure Interaction

by COTTET, GEORGES-HENRI

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Title Statements

Full title :Level Set Methods for Fluid-Structure Interaction.

Edition Statements

Publication Date:©2022.

Publication Statements

Publisher(s):Springer International Publishing AG
Place of Publication:Cham
Language:eng
Publication Date:©2022.

The Physical Object

Description:1 online resource (203 pages).

Edition Identifiers

ISBN:9783031086595, 3031086597
oclc:on1346454269
LC Classification:TA342-343

3.3.4 Energy and Coupling Model -- 3.4 Curves Immersed in R3 -- 3.4.1 An Eulerian Tensor to Measure Strains Along Curves -- 3.4.2 Invariants and Associated Elastic Force -- 3.5 Explicit and Semi-implicit Time Discretizations -- 3.5.1 Explicit Schemes -- 3.5.2 Semi-implicit Scheme -- 3.5.3 Numerical Validation -- 3.6 Numerical Illustrations and Sample Code -- 3.6.1 Shear-Free Membrane -- 3.6.1.1 2D Oscillating Elastic Membrane: FreeFEM++ and Matlab Codes -- 3.6.1.2 Membrane with Bending Energy -- 3.6.2 Membrane with Shear -- 4 Immersed Bodies in a Fluid: The Case of Elastic Bodies -- 4.1 Hyperelastic Materials in Lagrangian Formulation -- 4.1.1 Principle of Material Indifference -- 4.1.2 Isotropic Materials -- 4.1.3 Computation of the Stress Tensor in a Lagrangian Framework -- 4.2 Hyperelastic Materials in Eulerian Formulation -- 4.2.1 Computation of the Stress Tensor in an Eulerian Framework -- 4.2.2 Elastic Constitutive Laws for Elastic Media -- 4.2.3 Eulerian Elasticity in the Incompressible Case -- 4.2.4 Eulerian Elasticity in the Compressible Case -- 4.3 Fluid-Structure Coupling Model in the Incompressible Case -- 4.3.1 Model and Constitutive Law in the Incompressible Case -- …