Mathematics – Analysis of PDEs
Scientific paper
2009-11-22
Journal of Scientific Computing 48, 1-3 (2011) pp. 89-104
Mathematics
Analysis of PDEs
Scientific paper
10.1007/s10915-010-9456-0
We present a numerical kinetic scheme for an unsteady mixed pressurised and free surface model. This model has a source term depending on both the space variable and the unknown, U, of the system. The source term is composed by a topography, a section variation, a curvature (also called corrective) and a friction term. Using the Finite Volume and Kinetic (FVK) framework, we propose an approximation of the source terms following the principle of interfacial upwind with a kinetic interpretation: the source term is not treated as a volumic term, but included in the numerical fluxes. Then, several numerical tests are presented.
Bourdarias Christian
Ersoy Mehmet
Gerbi Stéphane
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