Yu, MeilinWang, Z.J.2018-01-232018-01-232015Meilin 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/10.2514/6.2015-0570http://hdl.handle.net/11603/7694Homotopy 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.17 pagesen-USThis 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.homotopy continuationreconstruction – discontinuous Galerkin methodsCPR-DGsteady state hyperbolic conservation lawsflow simulations of shock capturingText