ON AN APPROXIMATION OF THE RADIATION TRANSFER EQUATION
Yu. A. Dementyev, Yu. I. Ruzu, I. D. Sofronov, E. N. Tikhomirova
VANT. Ser. Metodiki i Programmy Chislennogo Resheniya Zadach Matematicheskoy Fiziki 1984. Вып.2. С. 3-5.
A set of single-point algebraic equations is reported, fitting equlibrium nonstationary radiation transfer taking into account grey-matter absorption and isotropic scattering. A cubic octahedron mesh is used. The scheme is conservative, stable, and, mainly, second-order accurate. The approximate solution is characterized by non-increasing amplitude. An array-processor computer may be effectively used. A disadvantage of the scheme cons its in severe time-step 1imi tat ions.
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A NUMERICAL SOLUTION TECHNIQUE FOR 3D NONSTATIONARY PROBLEMS OF ENERGY TRANSFER BY RADIATION THROUGH VACUUM REGION
Yu. A. Dementyev, R. F. Mashinin, V. I. Nagorny, V. G. Rogachov, E. N. Tikhomirova
VANT. Ser. Metodiki i Programmy Chislennogo Resheniya Zadach Matematicheskoy Fiziki 1984. Вып.2. С. 26-28.
An integral equation is solved describing nonsta- tionary energy transfer by radiation through a region of negligible optical width, retardation and shading being taken into account. A numerical solution technique is qiven based on mesh description of the process. Energy portions are calculated the computational cells exchange with on the radiating surface each time step. Examples of model calculations are supplied.
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