Methodology on comparing heterogeneous model with homogeneous one

Takamatsu, Kuniyoshi  

Without distinction of expertise such as reactor physics or thermal-hydraulics, mathematical models explaining physical phenomena use differential equations and have been changed from homogenous to heterogeneous. However, considering time cost until obtaining desire analytical results, homogeneous models have enough convenience today. Therefore, differential equations explaining physical phenomena include homogeneous and heterogeneous variables. In this paper, methodology for quantitative evaluation by using sum of factorizations is presented. This method is useful to cognize physically the analytical difference between homogeneous model and heterogeneous one because general method can show only numerical value without relationship among distributions of variables. Regardless of reactor physics or thermal-hydraulics, differential equations can be comprehended from a new different viewpoint.