| Popis: |
One of the major difficulties in the numerical solution of multi-mode heat transfer problems in radiatively participating media involves grid compatibility between conductive and radiative computational domains. Since the grid density of the conductive modes must often be much greater than that of the radiative grid, a two-grid approach is often employed, requiring some degree of interpolation between grids. Implementation of the boundary element method, as opposed to finite-difference or finite-element schemes, overcomes the incompatibility problem. An exchange factor method is used to provide the radiation flux vector in the energy equation, and the boundary element formulation for the energy equation in the presence of radiation involves both a surface and a domain integral. However, in the iterative solution of the problem, the domain integral is computed using the radiative grid break-up. Details of the formulation are presented. A benchmark problem is used to validate the approach. |
