Boletín SEMA, No 30 (2004)

Tamaño de la letra:  Pequeña  Mediana  Grande

Numerical Simulation of Fluid Flow with Moving and Free Boundaries

L. H. Juárez, R. Glowinski, T. W. Pan


The main goal of this article is to discuss the numerical simulation of incompressible viscous fluid flow with moving and free boundaries. The case of flow with moving boundaries include the direct numerical simulation of moving rigid bodies of various shapes in viscous fluids. The case of flow with free boundaries include the numerical simulation of a viscous fluid flow with a free capillary surface. The main components of the methodology applied to the solution of these problems are: (i) space approximation by finite element methods, (ii) time integration by operator-splitting, (iii) treatment of advection by a wave-like equation method, (iv) treatment of the incompressibility by L2 or H1-projection methods, and (v) Lagrange multiplier/fictitious domain methods in the case of flow with moving rigid bodies. We present the results of various numerical experiments, including the sedimentation of rigid bodies, the motion of hydrodynamic pendula, and capillary free-surface flow.

Key words: Navier-Stokes equations, finite element methods, operator splitting, fictitious domain method, distributed Lagrange multiplier, free surface flow, particulate flow.

AMS subject classifications: 76D05, 76M10, 35R35, 70F99.

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