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A convergence identification method for oscillation numerical simulation is proposed, the numerical solutions can converge at the inflection point with respect to the time steps. In this way, it is possible to determine which time step is the appropriate convergence solutions, it can be ensured to obtain the accurate solution as much as possible, the results of the numerical experiments are presented and they confirm analytical predicts. In addition, an algorithm to verify the appropriate time step is suggested also, first use one time step to compute a case until it reaches a stable periodic solution; then sequentially reducing time step to check its convergence. The feasibility of the proposed method is further verified via its applications to the case study of the combined natural and MHD convection in a Joule-heated cavity using the finite volume methods. It is found that the two approaches have the same results and can judge the validity of the time step in computation, this might accurately predict the fluid flow and heat transfer.

numerical methods, algorithm