Stabilized-finite-element/interface-capturing technique for parallel computation of unsteady flows with interfaces. (English) Zbl 0994.76050

Aliabadi, Shahrouz; Tezduyar, Tayfun E.

Comput. Methods Appl. Mech. Eng. 190, No. 3-4, 243-261 (2000).

Summary: We present the stabilized-finite-element/interface-capturing (SFE/IC) method developed for parallel computation of unsteady flow problems with two-fluid interfaces and free surfaces. The SFE/IC method involves stabilized formulations, an interface-sharpening technique, and the enforcement of global mass conservation for each fluid. The SFE/IC method has been efficiently implemented on the CRAY T3E parallel supercomputer. A number of two-dimensional test problems are presented to demonstrate how the SFE/IC method works and the accuracy it attains. We also show how the SFE/IC method can be effectively applied to three-dimensional simulations of challenging flow problems, such as two-fluid interfaces in a centrifuge tube and operational stability of a partially filled tanker truck driving over a bump.

MSC:

76M10	Finite element methods applied to problems in fluid mechanics
76D05	Navier-Stokes equations for incompressible viscous fluids
65Y05	Parallel numerical computation

Keywords:

stabilized-finite-element/interface-capturing method; two-fluid interfaces; free surfaces; interface-sharpening technique; global mass conservation; CRAY T3E parallel supercomputer; centrifuge tube; partially filled tanker truck

References:

[1]	Aliabadi, S.K.; Tezduyar, T.E., Space-time finite element computation of compressible flows involving moving boundaries and interfaces, Computer methods in applied mechanics and engineering, 107, 209-223, (1993) · Zbl 0798.76037
[2]	Behr, M.; Tezduyar, T.E., Finite element solution strategies for large-scale flow simulations, Computer methods in applied mechanics and engineering, 112, 3-24, (1994) · Zbl 0846.76041
[3]	Johnson, A.A.; Tezduyar, T.E., Mesh update strategies in parallel finite element computations of flow problems with moving boundaries and interfaces, Computer methods in applied mechanics and engineering, 119, 73-94, (1994) · Zbl 0848.76036
[4]	Tezduyar, T.E.; Behr, M.; Liou, J., A new strategy for finite element computations involving moving boundaries and interfaces – the deforming-spatial-domain/space-time procedure: I. the concept and the preliminary tests, Computer methods in applied mechanics and engineering, 94, 339-351, (1992) · Zbl 0745.76044
[5]	Tezduyar, T.E.; Behr, M.; Mittal, S.; Liou, J., A new strategy for finite element computations involving moving boundaries and interfaces – the deforming-spatial-domain/space-time procedure: II. computation of free-surface flows, two-liquid flows, and flows with drifting cylinders, Computer methods in applied mechanics and engineering, 94, 353-371, (1992) · Zbl 0745.76045
[6]	G. Wren, S. Ray, S. Aliabadi, T. Tezduyar, Simulation of flow problems with moving mechanical components, fluid – structure interactions and two-fluid interfaces, International Journal for Numerical Methods in Fluids (1997), to appear · Zbl 0881.76054
[7]	Tezduyar, T.; Aliabadi, S.; Behr, M.; Johnson, A.; Kalro, V.; Litke, M., Flow simulation and high performance computing, Computational mechanics, 18, 397-412, (1996) · Zbl 0893.76046
[8]	Aliabadi, S.K.; Tezduyar, T.E., Parallel fluid dynamics computations in aerospace applications, International journal for numerical methods in fluids, 21, 783-805, (1995) · Zbl 0862.76033
[9]	Hirt, C.W.; Nichols, B.D., Volume of fluid (VOF) method for the dynamics of free boundaries, Journal of computational physics, 39, 201-225, (1981) · Zbl 0462.76020
[10]	D.L. Youngs, Time-dependent multimaterial flow with large fluid distortion, in: K.W. Morton, M.J. Baines (Eds.), Numerical Methods in Fluid Dynamics, Notes on Numerical Fluid Mechanics, Academic Press, New York, 1984, pp. 273-285
[11]	Lemos, C.M., Higher-order schemes for free-surface flows with arbitrary configurations, International journal for numerical methods in fluids, 23, 545-566, (1996) · Zbl 0897.76063
[12]	S. Aliabadi, T. Tezduyar, 3D simulation of free-surface flows with parallel finite element method, in: Computational Mechanics ’97, Proceedings of International Conference on Computational Engineering Science, San Jose, Costa Rica, 1997, to appear
[13]	T.E. Tezduyar, S. Aliabadi, M. Behr, Enhanced-discretization interface-capturing technique, in: Y. Matsumoto, A. Prosperetti (Eds.), Proceedings of the ISAC ’97 High Performance Computing on Multiphase Flows, Japan Society of Mechanical Engineers, 1997, pp. 1-6 · Zbl 0961.76046
[14]	T.E. Tezduyar, S. Aliabadi, M. Behr, Parallel finite element computing methods for unsteady flows with interfaces, Computational Fluid Dynamics Review 1997, to appear
[15]	T.E. Tezduyar, S. Aliabadi, M. Behr, Enhanced-discretization interface-capturing technique (EDICT) for computation of unsteady flows with interfaces, Computer Methods in Applied Mechanics and Engineering (1997), to appear · Zbl 0961.76046
[16]	Brooks, A.N.; Hughes, T.J.R., Streamline upwind/petrov – galerkin formulations for convection dominated flows with particular emphasis on the incompressible navier – stokes equations, Computer methods in applied mechanics and engineering, 32, 199-259, (1982) · Zbl 0497.76041
[17]	Tezduyar, T.E., Stabilized finite element formulations for incompressible flow computations, Advances in applied mechanics, 28, 1-44, (1991) · Zbl 0747.76069
[18]	Johan, Z.; Hughes, T.J.R.; Shakib, F., A globally convergent matrix-free algorithm for implicit time-marching schemes arising in finite element analysis in fluids, Computer methods in applied mechanics and engineering, 87, 281-304, (1991) · Zbl 0760.76070