A nonlinear, 3D fluid-structure interaction problem driven by the time-dependent dynamic pressure data: a constructive existence proof (CROSBI ID 204096)
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Podaci o odgovornosti
Muha, Boris ; Čanić, Sunčica
engleski
A nonlinear, 3D fluid-structure interaction problem driven by the time-dependent dynamic pressure data: a constructive existence proof
We study a 3D fluid-structure interaction (FSI) problem between an incompressible, viscous fluid modeled by the Navier-Stokes equations, and the motion of an elastic structure, modeled by the linearly elastic cylindrical Koiter shell equations, {; ; \sl allowing structure displacements that are not necessarily radially symmetric}; ; . The problem is set on a cylindrical domain in 3D, and is driven by the time-dependent inlet and outlet dynamic pressure data. The coupling between the fluid and the structure is fully nonlinear (2-way coupling), giving rise to a nonlinear, moving- boundary problem in 3D. We prove the existence of a weak solution to this 3D FSI problem by using an operator splitting approach in combination with the Arbitrary Lagrangian Eulerian mapping, which satisfies a geometric conservation law property. We effectively prove that the resulting computational scheme converges to a weak solution of the full, nonlinear 3D FSI problem.
Fluid-structure interaction; Nonlinear moving-boundary problem; Existence of a solution
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Podaci o izdanju
13 (3)
2013.
357-397
objavljeno
1526-7555
2163-4548
10.4310/CIS.2013.v13.n3.a4
Povezanost rada
Matematika