||'''Case'''||'''Ra_0.5'''||'''Viscosity variation'''||'''l and m for initial perturbation'''||'''Resolution'''|| ||BM1A ||7e3 ||1e0 ||(3,2) ||32x(12x32x32)|| ||BM1B ||7e3 ||1e1 ||(3,2) ||32x(12x32x32)|| ||BM1C ||7e3 ||2e1 ||(3,2) ||32x(12x32x32)|| ||BM1D ||7e3 ||1e2 ||(3,2) ||32x(12x32x32)|| ||BM1E ||7e3 ||1e3 ||(3,2) ||32x(12x32x32)|| ||BM1F ||7e3 ||1e4 ||(3,2) ||32x(12x32x32)|| ||BM1G ||7e3 ||1e5 ||(3,2) ||32x(12x32x32)|| ||BM1H ||7e3 ||1e6 ||(3,2) ||32x(12x32x32)|| ||BM2A ||7e3 ||1e0 ||(4,0)+(4,4) ||32x(12x32x32)|| ||BM2B ||7e3 ||2e1 ||(4,0)+(4,4) ||32x(12x32x32)|| ||BM2C ||7e3 ||3e1 ||(4,0)+(4,4) ||32x(12x32x32)|| ||BM2D ||7e3 ||1e2 ||(4,0)+(4,4) ||32x(12x32x32)|| ||BM2E ||7e3 ||1e3 ||4,0)+(4,4) ||32x(12x32x32)|| ||BM2F ||7e3 ||1e4 ||(4,0)+(4,4) ||32x(12x32x32)|| ||BM2G ||7e3 ||1e5 ||(4,0)+(4,4) ||32x(12x32x32)|| ||BM2H ||7e3 ||1e6 ||(4,0)+(4,4) ||32x(12x32x32)|| ||BM3A ||1e5 ||1e0 ||(4,0)+(4,4) ||48x(12x48x48)|| ||BM3B ||1e5 ||1e1 ||from BM3A ||48x(12x48x48)|| ||BM3C ||1e5 ||3e1 ||from BM3A ||48x(12x48x48)|| ||BM3D ||1e5 ||1e2 ||from BM3C ||48x(12x48x48)|| Note: 1) Resolution in radial direction (the number outside of the parentheses) for our calculations is refined near the top and bottom boundaries. 2) Resolution for comparison cases is 48x(6x48x48) for Stemmer et al. {2006}, 102x(102x204) for Yoshida and Kageyama {2004}, where the number outside parentheses represents the resolution in radial direction. 3) Ratcliff et al {1996} used different resolution for cubic and tetrahedral symmetry cases, as they considered the symmetry of these cases and did not compute them in a full sphere. For cubic symmetry cases, the equivalent resolution is 32, 64, and 128 cells in radial, co-latitude and longitude directions, respectively, and these numbers are 32, 32, and 64 for the tetrahedral cases.