A new benchmark quality solution for the buoyancy-driven cavity by discrete singular convolution

This article introduces a high-accuracy discrete singular convolution (DSC) for the numerical simulation of coupled convective heat transfer problems. The problem of a buoyancy-driven cavity is solved by two completely indepe ndent numerical procedures. One is a quasi-wavelet-based DSC approach, whic h uses the regularized Shannon's kernel, while the other is a standard form of the Galerkin finite-element method. The integration of the Navier-Stoke s and energy equations is performed by employing velocity correction-based schemes. The entire laminar natural convection range of 10(3) less than or equal to Ra less than or equal to 10(8) is numerically simulated by both sc hemes. The reliability and robustness of the present DSC approach is extens ively tested and validated by means of grid sensitivity and convergence stu dies. As a result, a set of new benchmark quality data is presented. The st udy emphasizes quantitative, rather than qualitative comparisons.