Numerical models based on Flux Difference Splitting (FDS) with the Roe numerical flux and with the Lax-Wendroff numerical flux for 2D flood flows are developed. From verification against existing experimental data for hydraulic jump and through numerical experiments on such typical sample problems as a circular jump and dam-break flow, it is found that the latter is superior to the former in accuracy, whereas the former to the latter in limitation for applicability in severe condition. Based on these findings, a flood model, that takes the advantage of these two models, is proposed and verified against existing experimental data of 2D flood wave due to partial dam-break on dry bed.