Application of an Adaptive Wavelet Method to Natural-Convection Flow in a Differentially Heated Cavity

Abstract

We describe an adaptive wavelet method based on interpolating wavelets applied to the solution of a natural-convection flow. The adaptive wavelet method, owing to the approximation capabilities and spatial localization of wavelet functions, enables the solution of problems with local grid resolution consistent with the local demand of the physical problem. The adaptive method is applied to simulate the flow in a differentially heated square cavity at large Rayleigh numbers. Numerical results, whenever possible, are compared with those previously published.