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math.NA2025
Performance evaluation of high-order compact and second-order gas-kinetic schemes in compressible flow simulations
Yaqing Yang, Fengxiang Zhao, Kun Xu
The trade-off among accuracy, robustness, and computational cost remains a key challenge in simulating complex flows. Second-order schemes are computationally efficient but lack th…
math.NA2025
An effective implementation of high-order compact gas-kinetic scheme on structured meshes for compressible flows
Yaqing Yang, Fengxiang Zhao, Kun Xu
A novel fifth-order compact gas-kinetic scheme is developed for high-resolution simulation of compressible flows on structured meshes. Its accuracy relies on a new multidimensional…