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Fourth Mississippi State Conference on Differential Equations and Computational Simulations
May 21-22, 1999
Mississippi State University and Electronic Journal of Differential Equations
Starkville, MS, USA

Organizers
Ratnasingham Shivaji, Bharat Soni, Jianping Zhu (Program Chair)

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Simulation of Two-Fluid Interactions Using Parallel Finite Element Method
by
Shahrouz Aliabadi
Clark Atlanta University
Coauthors: Tayfun Tezduyar (Rice University)

Parallel computation of unsteady, two-fluid flow problems are performed using stabilized finite element methods. The finite element formulations are written for fix meshes and are based on the Navier-Stokes equations and an advection equation governing the motion of the interface function. The interface function, with two distinct values serve as an marker identifying each fluid. This function is advected with fluid velocity through out the computational domain. To increase the accuracy of the method, an interface-sharpening/mass conservation algorithm is designed. The method has been implemented on the CRAY T3E and also IBM SP/6000 using the MPI libraries. We show the effectiveness of the method in simulating complex 3D problems, such as two-fluid interface in a centrifuge tube, operation stability of a partially-filled tanker truck driving over a bump and hydrodynamics stability of ships.

Date received: March 23, 1999

Copyright © 1999 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cacr-19.