Abstract
For the two-phase flow problem, the time discretization is based on a generalization of the θ-scheme given in Sect. 4.2 for the one-phase flow Navier-Stokes equations. This generalized method is not found in the literature and therefore we describe its derivation in detail. The need for a generalization has two reasons. Firstly, opposite to the one-phase flow problem the mass matrix M is no longer constant but may vary in time.
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© 2011 Springer-Verlag Berlin Heidelberg
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Gross, S., Reusken, A. (2011). Time integration. In: Numerical Methods for Two-phase Incompressible Flows. Springer Series in Computational Mathematics, vol 40. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-19686-7_8
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DOI: https://doi.org/10.1007/978-3-642-19686-7_8
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-19685-0
Online ISBN: 978-3-642-19686-7
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