We develop a space-time conservation element and solution element (CE/SE) scheme using a simple slope limiter to preserve the positivity of the density and pressure in computations of inviscid and viscous high-speed flows. In general, the limiter works with all existing CE/SE schemes. Here, we test the limiter on a central Courant number insensitive (CNI) CE/SE scheme implemented on hybrid unstructured meshes. Numerical examples show that the proposed limiter preserves the positivity of the density and pressure without disrupting the conservation law; it also improves robustness without losing accuracy in solving high-speed flows.
|Original language||English (US)|
|Title of host publication||21st AIAA International Space Planes and Hypersonics Technologies Conference|
|Publisher||American Institute of Aeronautics and Astronautics (AIAA)|
|State||Published - Mar 2 2017|