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NUMERICAL SOLUTION OF ENERGY AND RADIATION TRANSPORT EQUATION SYSTEM IN MULTIGROUP P1-APPROXIMATION INCLUDING COMPTON SCATTERING

A.A. Shestakov
VANT. Ser.: Mat. Mod. Fiz. Proc 1996. Вып.1-2. С. 61-74.

      The paper considers numerical solutions of energy and radiation transport equations in multigroup P1-approximation including Compton scattering.
      The calculations of photon transport in high temperature plasma requires accounting for Compton scattering on moving electrons. When low frequency photons are scattering on fast electrons the photon energy increases.
      To account for Compton scattering, Focker-Plank equations must be solved. The paper studies the properties of numerical solutions for Focker-Plank equation obtained with various difference schemes. It is shown that the difference scheme with weight parameters has the second order approximation over the energy variable, gives the monotonic positive solution and retains the number of particles in the system.










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