Using Generalized Basis for Functional Expansion

Functional expansion has been rigorously studied as a promising method in stochastic neutron transport and multi-physics coupling. It is to represent data specified on desired domain an of basis set continuous manner. For convenience, the for functional typically chosen be orthogonal. In cylindrical PWR pin-cell simulations, orthogonal Zernike polynomials have used. The main advantage using nuclear modeling that it requires less memory temperature nuclide variations fuel then fine discretization. Fewer variables are involved storage transfer process. Each can its unique order, which becomes very important depletion problems. recent study, performance analysis was conducted Zernike-based FETs 2D geometry. reaction rates like absorption rate U-238, however, many orders needed with achieve reasonable accuracy. This gap inspires study this paper alternative better capture steep gradient fewer orders. paper, generalized established. arbitrary series independent functions. To self-shielding effect U-238 rate, exponential chosen. results show order utilizing reduce by half from while achieving same integrated also demonstrated preserved. shows could heuristic further investigation