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A SPH method of high accuracy and efficiency for low and medium Reynolds number flow problems

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Abstract

The FPM, as a variant form of SPH, uses a set of auxiliary kernels for consistent interpolations of the basic unknown function and its spatial gradient, which can expel the boundary deficiency-induced errors. Acquisition of the auxiliary kernels is detailed, and their basic properties are discussed. The governing equations for motion of a particle system are derived in an alternative way based on the weak-form momentum equation. This approach is advantageous in easy treatment of free-surface boundary condition. For taking account of realistic viscosity effects in low Reynolds number flows, the Morris-type viscosity is implemented. A modified particle shift technology (PST) and a gradient-free artificial density diffusion technique are proposed for stabilizing the numerical scheme and for better solutions. Numerical examples are presented to demonstrate the effectiveness of the proposed PST and artificial density diffusion, as well as the capability and efficiency of the proposed numerical model in solving low and medium Reynolds number flow problems.

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Acknowledgements

The research has been financially supported by the National Natural Science Foundation of China (Grant Nos. 12302257, 11772117), which is gratefully acknowledged, Jiangsu Funding Program for Excellent Postdoctoral Talent (No.2022ZB160).

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Authors and Affiliations

  1. College of Mechanics and Materials, Hohai University, Nanjing, China

    Ding Chen, Wenxiong Huang & Chao Liang

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  1. Ding Chen
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  2. Wenxiong Huang
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  3. Chao Liang
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Correspondence to Wenxiong Huang.

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Chen, D., Huang, W. & Liang, C. A SPH method of high accuracy and efficiency for low and medium Reynolds number flow problems. Comp. Part. Mech. (2023). https://doi.org/10.1007/s40571-023-00682-y

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