Evaluation of the MOC based on the Sanchez-Pomraning method for double heterogeneity system

Highlights: • A comprehensive evaluation of the Sanchez-MOC method is conducted. • The limitation of the high packing fraction is found in the Sanchez-MOC method. • The case that filled particle sizes follow a certain distribution is studied initially. The double heterogeneity and spatial randomness make the conventional deterministic method difficult to treat the dispersed particulate fuel. The Sanchez-Pomraning method introduces the renewal equation into the collision probability method (CPM) and the method of characteristic (MOC). Since the Sanchez-MOC method was published, the comprehensive evaluation of the method has been absent. This work devotes to evaluating comprehensively the accuracy of the Sanchez-MOC method in different conditions, such as dispersed particulate fuel with different packing fractions, different particle sizes and different shapes of fuel. The Sanchez-MOC method has the capability of treating multi-type particles co-existing problems, but cannot treat the problem in larger than 50% packing fraction. Thanks to these features, the problem that filled particles follow a certain size distribution is tested tentatively. These numerical verifications indicate that the Sanchez-MOC method can treat the double heterogeneity problems as a reliable transport solver in a high accuracy.