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Enhanced-discretization interface-capturing technique (EDICT) for computation of unsteady flows with interfaces. (English) Zbl 0961.76046

From the summary: We present the enhanced-discretization interface-capturing technique (EDICT) for computation of unsteady flow problems with interfaces, such as two-fluid and free-surface flows. In EDICT, we solve, over a non-moving mesh, the Navier-Stokes equations together with an advection equation governing the evolution of an interface function with two distinct values identifying the two fluids. The spatial discretization of these equations is performed by using stabilized finite element formulations which possess good stability and accuracy properties.

MSC:

76M10 Finite element methods applied to problems in fluid mechanics
76D27 Other free boundary flows; Hele-Shaw flows
76D05 Navier-Stokes equations for incompressible viscous fluids
76D50 Stratification effects in viscous fluids
76Y05 Quantum hydrodynamics and relativistic hydrodynamics
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[1] 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, Comput. methods appl. mech. engrg., 94, 339-351, (1992) · Zbl 0745.76044
[2] 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, Comput. methods appl. mech. engrg., 94, 353-371, (1992) · Zbl 0745.76045
[3] Behr, M.; Tezduyar, T.E., Finite element solution strategies for large-scale flow simulations, Comput. methods appl. mech. engrg., 112, 3-24, (1994) · Zbl 0846.76041
[4] Wren, G.; Ray, S.; Aliabadi, S.; Tezduyar, T., Simulation of flow problems with moving mechanical components, fluid-structure interactions and two-fluid interfaces, Int. J. numer. methods fluids, 24, 1433-1448, (1997) · Zbl 0881.76054
[5] Tezduyar, T.; Aliabadi, S.; Behr, M.; Behr, A.; Johnson, A.; Kalro, V.; Litke, M., Flow simulation and high performance computing, Comput. mech., 18, 397-412, (1996) · Zbl 0893.76046
[6] Tezduyar, T.E.; Aliabasi, S.; Behr, M., Enhanced-discretization interface-capturing technique, ()
[7] T.E. Tezduyar, S. Aliabadi and M. Behr, Parallel finite element computing methods for unsteady flows with interfaces, Comput. Fluid Dyn. Rev. to appear. · Zbl 0961.76046
[8] Hirt, C.W.; Nichols, B.D., Volume of fluid (VOF) method for the dynamics of free boundaries, J. comput. phys., 39, 201-225, (1981) · Zbl 0462.76020
[9] Youngs, D.L., Time-dependent multimaterial flow with large fluid distortion, (), 273-285
[10] Lemos, C.M., Higher-order schemes for free-surface flows with arbitrary configurations, Int. J. numer. methods fluids, 23, 545-566, (1996) · Zbl 0897.76063
[11] Aliabadi, S.; Tezduyar, T., 3D simulation of free-surface flows with parallel finite element method, ()
[12] Hughes, T.J.R.; Brooks, A.N., A multi-dimensional upwind scheme with no cross-wind diffusion, (), 19-35
[13] Tezduyar, T.E., Stabilized finite element formulations for incompressible flow computations, Adv. appl. mech., 28, 1-44, (1991) · Zbl 0747.76069
[14] Saad, Y.; Schultz, M., GMRES: A generalized minimal residual algorithm for solving nonsymmetric linear systems, SIAM J. sci. statis. comput., 7, 856-869, (1986) · Zbl 0599.65018
[15] 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, Comput. methods appl. mech. engrg., 87, 281-304, (1991) · Zbl 0760.76070
[16] Aliabadi, S.K.; Tezduyar, T.E., Parallel fluid dynamics computations in aerospace applications, Int. J. numer. methods fluids, 21, 783-805, (1995) · Zbl 0862.76033
[17] Karypis, G.; Kumar, V., Multilevel k-ways partitioning scheme for irregular graphs, () · Zbl 0918.68073
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