×

Simulation of flow problems with moving mechanical components, fluid-structure interactions and two-fluid interfaces. (English) Zbl 0881.76054

Summary: The application of a stabilized space-time finite element formulation to problems involving fluid-structure interactions and two-fluid interfaces is discussed. Two sample problems are presented, and the method is validated by comparison with a test problem.

MSC:

76M10 Finite element methods applied to problems in fluid mechanics
76N10 Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics
74F10 Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.)
PDF BibTeX XML Cite
Full Text: DOI

References:

[1] Johnson, Comput. Methods Appl. Mech. Eng. 45 pp 285– (1984)
[2] Hughes, Comput. Methods Appl. Mech. Eng. 66 pp 339– (1988)
[3] ’Finite element analysis of the compressible Euler and Navier-Stokes equations’, Ph.D. Thesis, Departmnet of Mechanical Engineering, Stanford University, 1988.
[4] Hansbo, Comput. Methods Appl. Mech. Eng. 84 pp 175– (1990)
[5] Tezduyar, Comput. Methods Appl. Mech. Eng. 94 pp 339– (1992)
[6] Aliabadi, Comput. Methods Appl. Mech. Eng. 107 pp 209– (1993)
[7] , , and , ’Massively parallel finite element computation of three-dimensional flow problems’, Proc. 6th Jpn. Numerical Fluid Dynamics Symp., Tokyo, 1992, pp. 15-24.
[8] Tezduyar, Comput. Methods Appl. Mech. Eng. 119 pp 157– (1994)
[9] Mittal, Comput. Methods Appl. Mech. Eng. 112 pp 253– (1994)
[10] and , ’A multi-dimensional upwind scheme with no crosswind diffusion’, in (ed.), Finite Element Methdos for Convection dominated Flows, AMD Vol. 34, ASME, New York, 1979, pp. 19-35.
[11] Brooks, Comput. Methods Appl. Mech. Eng. 32 pp 199– (1982)
[12] and , ’Finite element formulations for convection dominated flows with particular emphais on the compressibble Euler equations’, AIAA Paper 83-0125, 1983.
[13] Donea, Int. J. Numer. Methods Eng. 20 pp 101– (1984)
[14] Hughes, Comput. Methods Appl. Mech. Eng. 58 pp 305– (1986)
[15] Le Beau, Comput. Methods Appl. Mech Eng. 104 pp 397– (1993)
[16] Aliabadi, Comput. Mech. 11 pp 300– (1993)
[17] Aliabadi, Int. J. Numer. Methods Fluids 21 pp 783– (1995)
[18] Hughes, Comput. Methods Appl. Mech. Eng. 73 pp 173– (1989)
[19] and , ’Galerkin/least-squares space-time finite element method for deforming domains-recent developments’, Proc. BAIL VI Conf. 1992.
[20] Johnson, Comput. Methods Appl. Mech. Eng. 119 pp 73– (1994)
[21] ’Mesh generation and update srategies for parallel computaion of flow problems with moving boundaries and interfaces’, Ph.D. Thesis, Department of Aerospace Engineering and Mechanics, University of Minnesota, 1995.
[22] Johnson, Innt. J. Numer. Methods Fluids 24 pp 1321– (1997)
[23] Wage Propagation in Elastic Solids, North-Holland, New York, 1973.
[24] Mittal, Int. J. Numer. Methods Fluids 15 pp 1073– (1992)
[25] ’Large-scale computational strategies for solving compressible flow problems’, Ph.D. Thesis, Department of Aerospace Engineering and Mechanics, Univeristy of Minnesota, 1995.
[26] The Finite Element Method. Linear Static and Dynamic Finite Element Analysis, Prentice-Hall, Englewood Cliffs, NJ, 1987.
[27] Wren, Int. J. Numer. Methods Fluids 21 pp 981– (1995)
[28] Formulas for Natural Frequency and Mode Shape, Van Nostrand Reinhold, New York, 1979.
[29] personal communication, 1996.
[30] Peak, J. Acoust. Soc. Am. 26 pp 166– (1954)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.