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In this paper we deal with the construction of hybrid flux-vector-splitting (FVS) schemes and flux-difference-splitting (FDS) schemes for a two-phase model for one-dimensional flow. The model… Continue Reading
Abstract We are interested in exploring Advection Upstream Splitting Method (AUSM) schemes for hyperbolic systems of conservation laws which do not allow any analytical calculation of the Jacobian.… Continue Reading
In this paper, we are interested in some basic investigations of properties of the relaxation schemes first introduced by Jin and Xin . The main advantages of these schemes are that they neither… Continue Reading
Abstract We consider a drift flux model describing one dimensional isothermal gas–liquid flow in a long pipeline. The model consists of equations for the conservation of mass for each of the phases… Continue Reading
The extension of Kynch's kinematical theory of ideal suspensions to polydisperse suspensions of spheres leads to a nonlinear system of conservation laws for the volumetric concentration of each… Continue Reading