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Kawahara, Mutsuto; Takeuchi, Norio

Mized finite element method for analysis of viscoelastic fluid flow. (English) Zbl 0354.76002

Comput. Fluids 5, 33-45 (1977).
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Cited in 6 Documents

MSC:

76A10 Viscoelastic fluids
76-04 Software, source code, etc. for problems pertaining to fluid mechanics
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Full Text: DOI

References:

[1] Oden, J. T.; Wellford, L. C., Analysis of flow of viscous fluids by the finite element method, AIAA J., 10, 1590-1599 (1972) · Zbl 0254.76043
[2] Zienkiewicz, O. C.; Taylor, C., Weighted residual processes in finite element with particular reference to some transient and coupled problems, (Oden, J. T.; Oliveira, E. R.A., Lectures on Finite Element Method in Continuum Mechanics (1973), UAH Press: UAH Press Huntsville), 415-458
[3] King, I. P.; Norton, W. R.; Iceman, K. R., A finite element model for two dimensional flow, (Oden, J. T.; Zienkiewicz, O. C.; Gallagher, R. H.; Taylor, C., Finite Element Methods in Flow Problems (1974), UAH Press: UAH Press Huntsville), 133-137
[4] Kawahara, M.; Yoshimura, N.; Nakagawa, K.; Ohsaka, H., Steady flow analysis of incompressible viscous fluid by the finite element method, (Yamada, Y.; Gallagher, R. H., Theory and Practice in Finite Element Structural Analysis (1973), University of Tokyo Press: University of Tokyo Press Tokyo), 557-572 · Zbl 0377.76027
[5] Kawahara, M.; Yoshimura, N.; Nakagawa, K., Analysis of steady incompressible viscous flow, (Oden, J. T.; Zienkiewicz, O. C.; Gallagher, R. H.; Taylor, C., Finite Element Methods in Flow Problems (1974), UAH Press: UAH Press Huntsville), 107-120
[6] Taylor, C.; Hood, P., A numerical solution of the Navier-Stokes equations using the finite element technique, Comput. Fluids, 1, 73-100 (1973) · Zbl 0328.76020
[7] Hood, P.; Taylor, C., Navier-Stokes equations using mixed interpolation, (Oden, J. T.; Zienkiewicz, O. C.; Gallagher, R. H.; Taylor, C., Finite Element Method in Flow Problems (1974), UAH Press: UAH Press Huntsville), 121-132
[8] Guymon, G. L., Finite element solution for general fluid motion, (Proc. ASCE, J. Hydn. Div., 99 (1972)), 913-919, Hy6
[9] Baker, A. J., Finite element computational theory for three dimensional boundary layer flow, AIAA paper 72-108 (1972)
[10] Baker, A. J., Finite element solution algorithm for viscous incompressible fluid dynamics, Int. J. Num. Meth. Engng, 6, 89-101 (1973) · Zbl 0255.76042
[11] Baker, A. J., Finite element solution algorithm for incompressible fluid dynamics, (Oden, J. T.; Zienkiewicz, O. C.; Gallagher, R. H.; Taylor, C., Finite Element Method in Flow Problems (1974), UAH Press: UAH Press Huntsville), 51-56
[12] Baker, A. J., Finite element solution theory for three dimensional boundary flows, Comput. Meth. in Appl. Mechan. Engng, 4, 367-368 (1974) · Zbl 0285.76011
[13] Gartling, D.; Becker, B., Computationally efficient finite element analysis of viscous flow problems, (Oden, J. T.; etal., Computational Methods in Nonlinear Mechanics (1974), The Texas Institute for Computational Mechanics: The Texas Institute for Computational Mechanics Austin) · Zbl 0309.76028
[14] Nickell, R. E.; Tanner, R. I.; Caswell, B., The solution of viscous incompressible jet and free surface flows using finite element methods, J. Fluid Mech., 65, 189-206 (1974) · Zbl 0298.76022
[15] Tong, P., On the solution of the Navier-Stokes equations in two dimensional and axial symmetric problems, (Oden, J. T.; Zienkiewicz, O. C.; Gallagher, R. H.; Taylor, C., Finite Element Method in Flow Problems (1974), UAH Press: UAH Press Huntsville), 57-66
[16] Skiba, E.; Umny, T. E.; Weaver, D. S., A finite element solution for a class of two dimensional viscous fluid flow dynamic problems, (Proc. Symposium. Proc. Symposium, University of Waterloo (1973)), 493-508
[17] Olson, M. D., A variational-finite element method for two dimensional steady viscous flows, (Proc. of McGill E.I.C. Conf. on Finite Element Methods in Civil Eng.. Proc. of McGill E.I.C. Conf. on Finite Element Methods in Civil Eng., Montreal (1972)) · Zbl 0316.76016
[18] Olson, M. D., Formulation of a variational principle finite element method for viscous flow, (Int. Conf. on Variational Methods in Eng.. Int. Conf. on Variational Methods in Eng., Southampton University (1972)) · Zbl 0316.76016
[19] Cheng, R. T., Numerical solution of the Navier-Stokes equations by finite element method, Phys. Fluid., 15, 2098-2105 (1972) · Zbl 0252.76017
[20] Lieber, P.; Wen, K. S.; Attia, A. V., Finite element method as an aspect of the principle of maximum uniformity, (Oden, J. T.; Zienkiewicz, O. C.; Gallagher, R. H.; Taylor, C., New hydrodynamical ramifications. New hydrodynamical ramifications, Finite Element Methods in Flow Problems (1974), UAH Press: UAH Press Huntsville), 85-96
[21] Bratanow, T.; Ecer, A., Analysis of moving body problems in aerodynamics, (Oden, J. T.; Zienkiewicz, O. C.; Gallagher, R. H.; Taylor, C., Finite Element Methods in Flow Problems (1974), UAH Press: UAH Press Huntsville)
[22] Bratanow, T.; Ecer, A.; Aksu, H.; Spehert, T., Nonlinearities in analysis of unsteady flow around oscillating wings, (Oden, J. T.; etal., Computational Methods in Nonlinear Mechanics (1974), The Texas Institute for Computational Mechanics: The Texas Institute for Computational Mechanics Austin) · Zbl 0309.76049
[23] Di Carlo, A.; Piva, R., Finite element simulation of thermally induced flow fields, (Oden, J. T.; etal., Computational Methods in Nonlinear Mechanics (1974), The Texas Institute for Computational Mechanics) · Zbl 0311.76016
[24] Pipkin, A. C.; Tanner, R. I., A survey of theory and experiment in viscometric flows of viscoelastic liquids, (Nemat-Nasser, S., Mechanics Today, vol. 1 (1972), Pergamon Press: Pergamon Press Oxford) · Zbl 0345.76004
[25] Zienkiewicz, O. C., (Finite Element Methods in Engineering Science (1971), McGraw-Hill: McGraw-Hill New York) · Zbl 0237.73071
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