An adaptive multi-resolution SPH approach for three-dimensional free-surface flow with fluid impacting
•Auxiliary kernels improving accuracy due to non-uniform particle distribution.•SPH governing equations with variable kernel lengths to alleviate numerical instability.•A novel adaptive particle refinement with the concept of continuously-variable characteristic length.•Capturing properly the comple...
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Published in | Engineering analysis with boundary elements Vol. 155; pp. 642 - 651 |
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Main Authors | , , , |
Format | Journal Article |
Language | English |
Published |
Elsevier Ltd
01.10.2023
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Subjects | |
Online Access | Get full text |
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Summary: | •Auxiliary kernels improving accuracy due to non-uniform particle distribution.•SPH governing equations with variable kernel lengths to alleviate numerical instability.•A novel adaptive particle refinement with the concept of continuously-variable characteristic length.•Capturing properly the complex three-dimensional free-surface flow with middle and low Weber numbers.
This paper presents a new adaptive multi-resolution smoothed particle hydrodynamics (SPH) approach for simulating three-dimensional free surface flows with fluid impacting. The governing equations for multi-resolution SPH are derived based on the finite particle method (FPM) particle interpolation, which is an alternative SPH formulation for improving interpolation accuracy in the non-uniform particle distribution. A variable kernel length related to the volume of neighbor particles is proposed to control the numerical instability due to the multi-resolution scheme. In adaptive particle refinement (APR), a concept named as continuously-variable characteristic length (CCL) for each particle is defined to determine the splitting or merging scheme and then build a smoothing non-uniform particle distribution. Three-dimensional examples are conducted to validate the presented new APR approach, and the capability and numerical efficiency of the proposed numerical model are verified through solving free-surface flow problems with middle and low Weber numbers. After validation, a refined simulation of droplet impacting is conducted using the proposed adaptive multi-resolution SPH approach. The results show that the proposed SPH could well adapt to the large deformation of three-dimensional free-surface flow, and only provide a refinement near the free-surface domain. |
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ISSN: | 0955-7997 1873-197X |
DOI: | 10.1016/j.enganabound.2023.07.013 |