Temporal Convergence of Coarse Mesh Finite Difference Accelerated Monte Carlo

摘要

For the test problem considered, the CMFD methodrnwith the Crank-Nicholson discretization is more accuraternthan both IMC and the Backward Euler discretizedCMFD method for all refinements. In fact, with only tworntime steps it is more accurate than the 32 time step IMCrnsolution and the 8 time step solution using the BackwardrnEuler method. The refinement of each of the methodsrnshows an overall temporal convergence rate is first order.rnThe CMFD-Crank method shows a slightly larger rate ofrnconvergence than the CMFD-Euler discretization. Thernconvergence of the IMC method appears to be slightlyrngreater than both the CMFD approaches though it is lessrnaccurate than both.