中山大学学报（自然科学版）（中英文）2026，Vol.65Issue(1)：93-102,10.DOI:10.11714/acta.snus.ZR20250110
基于动态松弛方法的自由界面捕捉改进算法
Refined free-surface capturing algorithms based on the dynamic relaxation strategy
摘要
Abstract
The numerical blow-up caused by mass non-conservation in existing free-interface capturing algorithms stems from asynchronous density-flow solving.To overcome this problem,the numerical relationship is derived between local mass non-conservation and the diagonally dominance.Based on this derivation,a dynamic relaxation solution strategy is constructed,where the relaxation coefficient is dynamically updated in mass-non-conserved cells,to ensure the diagonal dominance of the momentum equation.Combined with the selection of an implicit high-resolution face-centered density interpolation method,a refined free-surface capturing algorithm is proposed.The performance of the refined algorithm is validated through classical dam-break free-surface flow test cases.The results demonstrate that the dynamic relaxation strategy effectively enhances numerical robustness and computational efficiency,while the implicit face-centered density interpolation method significantly reduces numerical diffusion,with particularly notable performance improvements in scenarios involving large density ratios and Courant numbers.关键词
自由界面/流体体积法/松弛系数/高分辨率插值Key words
free interface/volume of fluid/relaxation factor/high resolution interpolation分类
能源科技引用本文复制引用
谭志城,邓潼彬,明平剑..基于动态松弛方法的自由界面捕捉改进算法[J].中山大学学报（自然科学版）（中英文）,2026,65(1):93-102,10.基金项目
国家自然科学基金((52006249) （(52006249）
