Fundamentals of Fluid-Solid Interactions-Analytical and
Fundamentals of Fluid-Solid Interactions-Analytical and
Fundamentals of Fluid-Solid Interactions-Analytical and
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Contents xiii<br />
Chapter 7. Computational Nonlinear Models 407<br />
7.1. Upwind <strong>and</strong> stabilization 407<br />
7.1.1 One-dimensional model 408<br />
7.1.2 Multi-dimensional model 411<br />
7.2. Nonlinear finite element formulations for FSI systems 427<br />
7.2.1 Mixed formulations for fluid <strong>and</strong> solid domains 427<br />
7.2.2 Direct method with Jacobian matrix 436<br />
7.2.3 Matrix-free Newton–Krylov; multigrid 441<br />
7.2.4 Laminar <strong>and</strong> turbulent flows; porous interface; benchmark tests 455<br />
7.3. Immersed methods 487<br />
7.3.1 Immersed boundary method; nodal forces; incompressible<br />
continuum 489<br />
7.3.2 Particulate flow <strong>and</strong> blood modeling; mapping <strong>and</strong> kernel 499<br />
7.3.3 Fictitious domain method; immersed continuum method 527<br />
7.3.4 Implicit/compressible solver; FSI systems with immersed<br />
solids 537<br />
References 547<br />
Subject Index 567
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