Finite-element solution of Navier-Stokes equations for transient two- dimensional incompressible flow. (English) Zbl 0302.76017


76D05 Navier-Stokes equations for incompressible viscous fluids
65N35 Spectral, collocation and related methods for boundary value problems involving PDEs
Full Text: DOI


[1] Fromm, J.E.; Harlow, F., Phys. fluids, 6, 975-982, (1963)
[2] Tong, P., The finite-element method for fluid flow, (), 787-808
[3] Olson, M.D., Formulation of a variational principle: finite-element method for viscous flows, () · Zbl 0316.76016
[4] Lieber, P.; Wen, K.S.; Attia, A.V., Finite-element methods as an aspect of the principle of maximum uniformity, ()
[5] Oden, J.T., J. eng. mech. div. am. soc. civil eng., 96, 529-534, (1970)
[6] Oden, J.T.; Carter-Wellford, I., Aiaa j., 1590-1599, (1972)
[7] Lee, C.H., Finite-element method for transient linear viscous flow problems, (), 140-152
[8] Hood, P.; Taylor, C., Navier-Stokes equations using mixed interpolation, () · Zbl 0328.76020
[9] Taylor, C.; Hood, P., A numerical solution of the Navier-Stokes equations using the finite-element method, Computers and fluids journal, Vol. 1, 73-100, (1973) · Zbl 0328.76020
[10] Cheng, R.T., Phys. fluids, 15, 2098-2105, (1972)
[11] Baker, A.J., Internat. J. numer. methods engrg, 6, 89-101, (1973)
[12] Baker, A.J., A highly-stable explicit integration technique for computational continuum mechanics, (), 99-120
[13] Tong, P., Pn the solution of the Navier-Stokes equations in two-dimensional and axial symmetric problems, ()
[14] Finlayson, B.A., The method of weighted residuals and variational principles, (1972), Academic Press New York · Zbl 0319.49020
[15] Brebbia, C.A.; Connor, J.J., Fundamentals of finite-element techniques for structural engineers, (1973), Butterworths London
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.