基于动态松弛方法的自由界面捕捉改进算法OA

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.