COMPARING DIFF1RENCE SCHEMES FOR A QUASIDIFFUSION SYSTEM OF TRANSPORT EQUATIONS

D. Yu. Anistratov, V. Ya. Goldin
VANT. Ser. Metodiki i Programmy Chislennogo Resheniya Zadach Matematicheskoy Fiziki 1986. Вып.2. С. 17-23.

      A sphere-symmetry geometry was used to study a 1-D transport equation solved in a quasidiffusion form. The difference scheme considered is more accurate for critical parameter definitions and less work - intensive for iterations compared to the Vladimirov method, that of characteristic tubes and S_n - method, while being outperformed in accuracy by the quasidiffusion method, but the scheme considered is easier to implement and more cost-effective. We investigated Vladimirov - like schemes and a class of schemes for a 1-D transport equation in terms of their conservatism.

      A system of equations in high temperature radiation gas dynamics is examined. We describe an algorithm for numerically solving 1-D problems in high - temperature radiation gas dynamics using a spherical geometry. An analysis is performed of an instability on the interface between two media due to a pulse flux transported by a nonequilibrium component, particularly, by a radiation. For models describing the radiation transport in terms of diffusion, the instability is shown to be avoided.