Finite Element Discretization of the Navier-Stokes Equations with a Free Capillary Surface

Bänsch E (2001)

Publication Type: Journal article, Original article

Publication year: 2001

Journal

Numerische Mathematik Springer Verlag (Germany)

Publisher: Springer Verlag (Germany)

Book Volume: 88

Pages Range: 203-235

Journal Issue: 2

DOI: 10.1007/PL00005443

Abstract

The instationary Navier-Stokes equations with a free capillary boundary are considered in 2 and 3 space dimensions. A stable finite element discretization is presented. The key idea is the treatment of the curvature terms by a variational formulation. In the context of a discontinuous in time space-time element discretization stability in (weak) energy norms can be proved. Numerical examples in 2 and 3 space dimensions are given.

Authors with CRIS profile

Eberhard Bänsch Lehrstuhl für Angewandte Mathematik (Wissenschaftliches Rechnen)

How to cite

APA:

Bänsch, E. (2001). Finite Element Discretization of the Navier-Stokes Equations with a Free Capillary Surface. Numerische Mathematik, 88(2), 203-235. https://doi.org/10.1007/PL00005443

MLA:

Bänsch, Eberhard. "Finite Element Discretization of the Navier-Stokes Equations with a Free Capillary Surface." Numerische Mathematik 88.2 (2001): 203-235.

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