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High-speed compressible flow solutions by adaptive cell-centered upwinding algorithm with modified H-correction entropy fix |
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| Affiliation: | 1. Faculty of Engineering, University of Nottingham, NG7 2RD, UK;2. University of Nottingham, Ningbo, 315100, China;1. Department of Civil, Construction, and Environmental Engineering, North Carolina State University, Raleigh, NC, USA;2. Department of Civil and Environmental Engineering, University of California, Berkeley, CA, USA;1. Department of Mathematics and Statistics, Memorial University of Newfoundland, St. John’s (NL) A1C 5S7, Canada;2. Department of Mathematics, Universität Hamburg, Bundesstraße 55, Hamburg 20146, Germany;3. CEN – Center for Earth Systems Research and Sustainability, Universität Hamburg, Grindelberg 5, Hamburg 20144, Germany |
| Abstract: | Adaptive Delaunay triangulation is combined with the cell-centered upwinding algorithm to analyze high-speed compressible flow problems. The H-correction entropy fix is modified and included in the upwinding algorithm for unstructured triangular meshes to improve the computed shock wave resolution. The solution accuracy is further improved by coupling an error estimation procedure to a remeshing algorithm. Efficiency of the combined procedure is evaluated by analyzing supersonic shocks and shock propagation behaviors for both the steady and unsteady high-speed compressible flows. |
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