In the context of response to disasters, fast and accurate simulations can be integrated into a real-time flow, allowing best situation estimates to be provided at required deadlines for warnings and decisions. In such a pilot centered on earthquakes, the TsunAWI tsunami simulation code has been adapted and improved to provide both fast results with a coarse mesh and more accurate results with a fine mesh. Improvements to the TsunAWI code have allowed simulation runs to reach runtimes compatible with the needs of a workflow with real-time deadlines. A significant component of TsunAWI is the underlying mesh traversal order; the use of heuristics from the gpu rendering community can reach comparable performance to the original space filing curve ordering, and validation against historical cases is underway for the fast simulation results.