THE APPLICATION OF AN ADAPTIVE WAVELET METHOD TO THE 3-D NATURAL-CONVECTION FLOW IN A DIFFERENTIALLY HEATED CAVITY

摘要

In this work, we describe a dynamically adaptive wavelet method for solving the natural-convection flow a differentially heated cavity in three spatial dimensions. The adaptive method takes advantage of an interpolating wavelet for the adaptive approximation in the design of a simple refinement strategy that reflects the local demand of the physical solution. The derivative approximation is computed via consistent finite-difference approximation on an adaptive grid. To demonstrate the versatility of the algorithm, we simulate the 3-D differentially heated cavity with various values of Rayleigh number. The results are compared with those obtained by other computational approaches.