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A DIFFERENCE SCHEME TO SOLVE 3D EQUATION OF RADIATION THERMAL CONDUCTIVITY ON HEXAHEDRAL CELLS WITH SINGLE-CURVED FACETS

A. M. Stenin
VANT. Ser.: Mat. Mod. Fiz. Proc 2021. Вып.4. С. 3-23.

A difference scheme to solve 3D equation of radiation thermal conductivity on structured mesh is presented; it consists of random hexahedral cells with single-curved facets. Keeping to the presumption of initially accepted agreement on the ruled character of facets of a cell, the formulas for the volume of the cell and normal vector in the center of its facets are produced. The definition of the facet area through which the cell of the mesh has heat exchange with neighboring cells is provided; it is based on the concept of vector area, or oriented area, of a ruled surface in 3D. An algorithm for computing heat flows at the facets of cells of the mesh is described. A linearized system of difference equations for iteration solution of non-linear equations of thermal balance is produced.

Keywords: 3D equation of radiation thermal conductivity, hexahedral cells of the mesh, single-curved facets, a normal to a single-curved facet, area of the facet, heat flows at the facets of cells.








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