Abstract
The numerical solution is considered of a one-dimensional system of hyperbolic conservation laws representing a two-phase flow model with mass and momentum conservation, for which the flux function is given partly in tabulated form. For the solution of this system first and second order upwind methods are considered, which are based on approximate Riemann solvers. The general idea is that the numerical algorithm must be able to handle the flux function without requiring analytical manipulation of the Jacobian, as no analytical expression for the flux function is available. Starting from a first order formulation, a second order extension is described. Results of the discretizations are shown.
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Romate, J.E. (2001). Aspects of a Numerical Procedure for Two-Phase Flow Models. In: Freistühler, H., Warnecke, G. (eds) Hyperbolic Problems: Theory, Numerics, Applications. ISNM International Series of Numerical Mathematics, vol 141. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8372-6_33
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DOI: https://doi.org/10.1007/978-3-0348-8372-6_33
Publisher Name: Birkhäuser, Basel
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