Local characteristic decomposition based central-upwind scheme

We propose novel less diffusive schemes for conservative one- and two-dimensional hyperbolic systems of nonlinear partial differential equations (PDEs). The main challenges in the development accurate robust numerical methods studied come from complicated wave structures, such as shocks, rarefactions contact discontinuities, arising even smooth initial conditions. In order to reduce diffusion original central-upwind schemes, we use a local characteristic decomposition procedure develop new class schemes. apply developed Euler gas dynamics illustrate performance on variety examples. obtained results clearly demonstrate that proposed outperform