Application of central schemes for solving radiation hydrodynamical models

This paper is concerned with the numerical investigation of radiation hydrodynamical models in one and two space dimensions. The flow equations are the set of nonlinear mixed type partial differential equations. The semi-discrete second order central upwind scheme is applied to solve the models. The proposed numerical scheme uses precise information of the local speeds of propagation and, thus, avoids the excessive numerical diffusion which is normally observed in the staggered central scheme. The second order accuracy of the scheme is achieved by using MUSCL-type reconstruction and Runge–Kutta time stepping method. Several case studies are carried out. For validation, the numerical results of the suggested scheme are qualitatively and quantitatively compared with the staggered central (NT) and kinetic flux-vector splitting (KFVS) schemes. The accuracy, efficiency and simplicity of the method demonstrate its potential to solve radiation hydrodynamical models.