Abstract
The variational form of Navier Stokes equation in a divergence free space suppresses the pressure term. So we construct a divergence free basis for one finite element. We solve the nonlinearity by two methods: least squares method, characteristics method, and we compare these two methods.
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BRISTEAU M.O., GLOWINSKI R., PERIAUX J., PIRONNEAU O., POIRIER G., Application of Optimal control and finite element methods to the calculation of transonic flows and incompressible viscous flows, in Numerical Methods in Applied Fluid Dynamics, B. Hunt Ed., Academic Press, London, 1980, 203–312.
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© 1984 Springer Fachmedien Wiesbaden
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Hecht, F. (1984). Use of Divergence Free Basis in Finite Elements Methods. In: Morgan, K., Periaux, J., Thomasset, F. (eds) Analysis of Laminar Flow over a Backward Facing Step. Notes on Numerical Fluid Mechanics, vol 9. Vieweg+Teubner Verlag, Wiesbaden. https://doi.org/10.1007/978-3-663-14242-3_17
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DOI: https://doi.org/10.1007/978-3-663-14242-3_17
Publisher Name: Vieweg+Teubner Verlag, Wiesbaden
Print ISBN: 978-3-528-08083-9
Online ISBN: 978-3-663-14242-3
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