Positivity-preserving space-time CE/SE scheme for high speed flows
KAUST DepartmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
Applied Mathematics and Computational Science Program
Extreme Computing Research Center
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AbstractWe 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.
CitationShen H, Parsani M (2017) Positivity-preserving space-time CE/SE scheme for high speed flows. 21st AIAA International Space Planes and Hypersonics Technologies Conference. Available: http://dx.doi.org/10.2514/6.2017-2278.
SponsorsFor computer time, this research used the resources of the Extreme Computing Research Center at King Abdullah University of Science & Technology (KAUST) in Thuwal, Saudi Arabia.