A Kinetic Beam Scheme for Relativistic Gas Dynamics

used to describe the new local nonrelativistic Maxwellian distribution for each cell. The entire process is then reAn extension of the beam scheme of Sanders and Prendergast (Astrophys. J. 188, 489, 1974) for the Newtonian gas dynamics to peated for the next time step. The choice of the size of relativistic gas dynamics is presented. It is found that the relativistic the time step is dictacted by the Courant–Friedrich–Lewy Euler equations are split into a set of discrete conservation laws stability condition that physically no beam of gas travels with beam split conservative state vectors and flux vectors. Highfarther than one cell spacing in one time step. For further order accurate schemes using essentially nonoscillatory concept are devised. Formulations for two space dimensions are also included. details see [13]. The beam scheme, although it is a particle Numerical experiments with relativistic one-dimensional shock tube method, however, has all the desirable features of modern flows and two-dimensional Kelvin–Helmholtz instability flow to ilcharacteristic-based wave propagating methods, the solustrate the method are given. Q 1997 Academic Press called upwind shock-capturing methods for hyperbolic conservation laws. Recently, a new hydrodynamic code based on the solution of the BGK Boltzmann equation [2]