Interface tracking finite volume method for complex solid-fluid interactions on fixed meshes

H. S UDAYKUMAR; R MITTAL; P RAMPUNGGOON

doi:10.1002/cnm.468

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Journal article

Interface tracking finite volume method for complex solid-fluid interactions on fixed meshes

H. S UDAYKUMAR, R MITTAL and P RAMPUNGGOON

Communications in numerical methods in engineering, Vol.18(2), pp.89-97

2002

DOI: 10.1002/cnm.468

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Abstract

We present a numerical technique for computing flowfields around moving solid boundaries immersed in fixed meshes. The mixed Eulerian–Lagrangian framework treats the immersed boundaries as sharp solid–fluid interfaces and a conservative finite volume formulation allows boundary conditions at the moving surfaces to be exactly applied. A semi-implicit second-order accurate spatial and temporal discretization is employed with a fractional-step scheme for solving the flow equations. A multigrid accelerator for the pressure Poisson equations has been developed to apply in the presence of multiple embedded solid regions on the mesh. We present applications of the method to two types of problems: (a) solidification in the presence of flows and particles, (b) fluid–structure interactions in flow control. In both these problems, the sharp interface method presents advantages by being able to track arbitrary interface motions, while capturing the full viscous, unsteady dynamics.

Fluid Dynamics

Physics

Computational methods in fluid dynamics

Fundamental areas of phenomenology (including applications)

Mathematical methods in physics

Exact sciences and technology

Computational techniques

General

Finite-difference methods

Details

Title: Subtitle: Interface tracking finite volume method for complex solid-fluid interactions on fixed meshes
Creators: H. S UDAYKUMAR - Department of Mechanical Engineering, University of Iowa, Iowa City, IA 52242, United States
R MITTAL - Department of Mechanical Engineering, University of Florida, Gainesville, FL, United States
P RAMPUNGGOON - Department of Mechanical Engineering, University of Florida, Gainesville, FL, United States
Resource Type: Journal article
Publication Details: Communications in numerical methods in engineering, Vol.18(2), pp.89-97
DOI: 10.1002/cnm.468
ISSN: 1069-8299
eISSN: 1099-0887
Publisher: Wiley; Chichester
Language: English
Date published: 2002
Academic Unit: Injury Prevention Research Center; Mechanical Engineering
Record Identifier: 9984064567802771

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