CENTRAL SCHEMES FOR POROUS MEDIA FLOW

Felipe Pereira, Eduardo Abreu, Simone Ribeiro, Frederico Furtado & Felipe Pereira
We are concerned with numerical schemes for solving scalar hyperbolic conservation laws arising in the simulation of multiphase flows in heterogeneous porous media. These schemes are non-oscillatory and enjoy the main advantage of Godunov-type central schemes: simplicity, i.e., they employ neither characteristic decomposition nor pproximate Riemann solvers. This makes them universal methods that can be applied to a wide variety of physical problems, including hyperbolic systems. We compare the Kurganov-Tadmor (KT) [1] semi-discrete central scheme...
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