Positivity-preserving space-time CE/SE scheme for high speed flows

Hua Shen, Matteo Parsani

Research output: Chapter in Book/Report/Conference proceedingConference contribution


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 languageEnglish (US)
Title of host publication21st AIAA International Space Planes and Hypersonics Technologies Conference
PublisherAmerican Institute of Aeronautics and Astronautics (AIAA)
ISBN (Print)9781624104633
StatePublished - Mar 2 2017

Bibliographical note

KAUST Repository Item: Exported on 2020-10-01
Acknowledgements: For 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.


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