MODELLING AND SIMULATION OF SOLITONS AND DISCONTINUITIES IN ADIABATIC AND IDEAL GAS AND ELECROSTATIC PLASMA ONE DIMENSIONAL SYSTEMA

摘要

Four models of gas and electrostatic plasma are studied viz ideal gas and adiabatic gas and ideal plasma and adiabatic plasma. These models are fluid equations (continuity, momentum and energy) of gas and electrostatic plasma with initial conditions which give rise to soliton and shock formation and examine the effects of the ideal and adiabatic thermodynamic assumptions, used in each case, on the mathematical structures. Analyses of the gas and plasma hyperbolic Euler ideal/adiabatic systems exhibits shocks, contact and rarefaction waves and solitons exhibit solutions different from each other. Numerical computations of gas and plasma are derived from recent classes of high resolution schemes for hyperbolic systems [H.Nessyahu and E.Tadmor: J.Comput.Phys.87 (1990) 408-463] which have been successfully deployed in shock propagation computations reveal and confirm sharp difference in the two systems and ideal/adiabatic systems.