Abstract
A combined procedure for two-dimensional Delaunay mesh generation algorithm and an adaptive remeshing technique with higher-order compressible flow solver is presented. The flux-difference splitting scheme with a mixed entropy fix method is introduced for high-speed compressible flow analysis on unstructured meshes. The scheme eliminates unphysical flow solutions such as a spurious bump of the carbuncle phenomenon that occurs on the bow shock from flow over a blunt body, and the oscillation in the odd-even grid perturbation in a straight duct for the Quirk's odd-even decoupling test. The proposed scheme is further extended to achieve higher-order spatial and temporal solution accuracy. The performance of the combined procedure is evaluated by solving several high-speed compressible flow problems on unstructured triangular meshes.
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