This work presents two high-order, semi-discrete, central-upwind schemes for computing approximate solutions of 1D systems of conservation laws. We propose a central weighted essentially non-oscillatory (CWENO) reconstruction, also we apply a fourth-order reconstruction proposed by Peer et al., and afterwards, we combine these reconstructions with a semi-discrete central-upwind numerical flux ...

This paper discusses the implementation of an explicit density-based solver, based on the central-upwind schemes originally suggested by Kurganov, for the simulation of cavitating bubble dynamic flows. Explicit density based solvers are suited for highly dynamic, violent flows, involving large density ratios, as is rather common in cavitating flows. Moreover, the central-upwind schemes have the...

We study central-upwind schemes for systems of hyperbolic conservation laws, recently introduced in [A. Kurganov, S. Noelle and G. Petrova, SIAM J. Sci. Comput., 23 (2001), pp. 707–740]. Similarly to the staggered central schemes, these schemes are central Godunov-type projection-evolution methods that enjoy the advantages of high resolution, simplicity, universality, and robustness. At the sam...

We present a family of central-upwind schemes on general triangular grids for solving two-dimensional systems of conservation laws. The new schemes enjoy the main advantages of the Godunov-type central schemes—simplicity, universality, and robustness and can be applied to problems with complicated geometries. The “triangular” central-upwind schemes are based on the use of the directional local ...

We propose a numerical dissipation switch, which helps to control the amount of present in central-upwind schemes. Our main goal is reduce without risking oscillations. This achieved with help more accurate estimate local propagation speeds parts computational domain, are near contact discontinuities and shears. To this end, we introduce switch parameter, depends on distributions energy x - y -...

In this paper, we study semi-discrete central-upwind difference schemes with a modified multidimensional limiting process (MLP) to solve two-dimensional hyperbolic systems of conservation laws. In general, high-order central difference schemes for conservation laws involve no Riemann solvers or characteristic decompositions but have a tendency to smear linear discontinuities. To overcome this d...