Homotopy Continuation for Correction Procedure via Reconstruction – Discontinuous Galerkin (CPR-DG) Methods
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2015
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Meilin Yu and Zhi J. Wang. "Homotopy Continuation for Correction Procedure via Reconstruction - Discontinuous Galerkin (CPR-DG) Methods", 53rd AIAA Aerospace Sciences Meeting, AIAA SciTech Forum, (AIAA 2015-0570) https://doi.org/10.2514/6.2015-0570
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This item may be protected under Title 17 of the U.S. Copyright Law. It is made available by UMBC for non-commercial research and education. For permission to publish or reproduce, please contact the author.
Abstract
Homotopy continuation for correction procedure via reconstruction – discontinuous
Galerkin (CPR-DG) methods is developed for solving steady state hyperbolic
conservation laws. The efficacy of homotopy continuation has been demonstrated
using both 1D and 2D steady flow problems. According to the test results, it is found
that homotopy continuation can work robustly on flow simulations of shock capturing
for a wide range of grid sizes and polynomial orders without parameter tuning.