ROME NUMERICAL METHOD TO SOLVE 3D HEAT CONDUCTION EQUATION IN CURVILINEAR COORDINATE SYSTEM
V. N. Pisarev, S. V. Chernova
VANT. Ser.: Mat. Mod. Fiz. Proc 2007. Вып.3-4. С. 3-14.
Described here is the numerical solution algorithm of 3D heat conduction problem in curvilinear coordinate system. The heat conduction equation is approximated on structured grids with sheet structure. The finite-difference scheme is based on the implicit finite-volume method ROMB and it is the generalization of method to solve 2D heat conduction equation in the axisymmetric case. The iterative method with stabilizing correction reducing the 3D difference problem to the set of ID problems solved by the direction sweep is used to solve the system of difference equations. The numerical results are given.
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