Method of Characteristics Direction Probabilities and Its Accuracy and Performance Models

The method of characteristics direction probabilities combines the geometry flexibility of the method of characteristics and the computing efficiency of the collision probability method. An angular depended boundary averaging is proposed to further improve the efficiency. After that, an accuracy model for the boundary angular flux is introduced which would be used to find the best boundary averaging method. And then, a performance model which explicitly compares the performance of the method of characteristics probabilities to the method of characteristics is given. The numerical results show that model given is correct and the method of characteristics direction probabilities gets great benefits.