A BSMC Method For Radiative Heat Transfer In Medium

Monte Carlo (MC) method is a sort of stochastic simulation method, which has been widely employed to solve radiative heat transfer. Based on the clear physical conceptions and simple mathematical skills, the MCM method has shown excellent adaptability for complex problems. But a mass of sampling simulation is required in order to give accurate enough results. Consequently, investigations on improving the simulation efficiency of MC method are helpful to the application of MC method.The BSMC method (Bi-directionally Statistical Monte Carlo Method) is an improvement of the conventional MC method (CMC), which is based on the reciprocity principle of radiative transfer. By designing a proper sampling mode, the bidirectionally statistical calculation can be actualized in the sampling simulation of BSMC method.In this thesis, two kinds of sampling modes have been designed for the BSMC method. By comparing with the CMC method, the computational efficiency and performance parameter were analyzed to validate its superiority. After that, the BSMC method was employed to predict the radiation heat transfer in a scramjet combustor.The following research contents have been presented in this thesis.1. As an example, the radiative heat transfer in a two-dimensional rectangular domain of participating medium was solved by the BSMC method to explain the fundamental of the method. The numerical simulations were performed in two kinds of discrete grid systems with uniform mesh and non-uniform mesh, respectively. The BSMC method with weight-equivalent sampling at uniform temperature (BSMC-W) and that with ratio-equivalent sampling at...