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Simulation of shock-induced instability using an essentially conservative adaptive CE/SE method
Authors:Fu Zheng  Liu Kai-Xin  Luo Ning
Affiliation:a LTCS and Department of Mechanics & Aerospace Engineering, College of Engineering, Peking University, Beijing 100871, China;b Center for Applied Physics and Technology, Peking University, Beijing 100871, China;c State Key Laboratory of Explosion Science and Technology, Beijing Institute of Technology, Beijing 100081, China
Abstract:An essentially conservative adaptive space time conservation element and solution element (CE/SE) method is proposed for the effective simulation of shock-induced instability with low computational cost. Its implementation is based on redefined conservation elements (CEs) and solution elements (SEs), optimized interpolations and a Courant number insensitive CE/SE scheme. This approach is used in two applications, the Woodward double Mach reflection and a two-component Richtmyer–Meshkov instability experiment. This scheme reveals the essential features of the investigated cases, captures small unstable structures, and yields a solution that is consistent with the results from experiments or other high order methods.
Keywords:CE/SE method  shock-induced instability  adaptive mesh refinement
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