水力发电学报2025，Vol.44Issue(5)：84-98,15.DOI:10.11660/slfdxb.20250508
非反射开放边界在SWE-SPH模型中的实现
Implementation of non-reflective open boundary conditions in SWE-SPH method
摘要
Abstract
Application of the Smoothed Particle Hydrodynamics(SPH)in solving the Shallow Water Equations(SWE)holds a great potential,particularly in the field of ocean numerical simulations,but the issues of the SWE-SPH method related to open boundaries remain unresolved.This study addresses the problem of reflection at an open boundary in previous SWE-SPH models,and describes a new method for treating non-reflective boundaries based on the Flather condition of gravity wave open boundaries.We evaluate the performance of this new boundary condition using three classical numerical simulation cases-steady flow over a bump,wave propagation of sea level perturbations in a flat-bottom channel with two open ends,and flow around a circular cylinder-and compare it with the conditions in the original method.Results indicate that for an open boundary,the new condition reduces its reflections effectively,allows propagating disturbances to cross it outward,and facilitates implementation of its external flow conditions specified.We have applied the improved SWE-SPH model to simulations of the Okushiri tsunami,and compared the results with those of the finite volume method.This proves it is applicable and effective in handling complicated depth and trans-critical flow simulations,thus expanding the scope of ocean numerical simulations.关键词
光滑粒子流体动力学(SPH)/浅水方程(SWE)/开放边界/数值模拟Key words
Smoothed Particle Hydrodynamics(SPH)/Shallow Water Equations(SWE)/open boundary condition/numerical simulation分类
水利科学引用本文复制引用
刘欣华,顾声龙,田丽蓉..非反射开放边界在SWE-SPH模型中的实现[J].水力发电学报,2025,44(5):84-98,15.基金项目
国家自然科学基金(52369016) （52369016）
国家重点研发计划项目(2023YFC3206303) （2023YFC3206303）
