论文标题
基于流体流体相互作用的亚网格人工粘度模型的缺陷脱授予校正方法
Defect-Deferred Correction Method Based on a Subgrid Artificial Viscosity Model for Fluid-Fluid Interaction
论文作者
论文摘要
通过前两个时间水平的几何平均,考虑到具有非线性界面条件的流体流体相互作用问题,用于流体流体相互作用问题的缺陷脱矫正方法,可提高时间和空间精度。在缺陷步骤中,仅通过消除对粗网格的影响,仅在速度梯度的波动上添加人工粘度。在校正步骤中进一步消除了人造粘度的耗散影响,同时同时获得了额外的时间准确性。在分析和数值上研究了所得算法的稳定性和准确性分析。
A defect-deferred correction method, increasing both temporal and spatial accuracy, for fluid-fluid interaction problem with nonlinear interface condition is considered by geometric averaging of the previous two-time levels. In the defect step, an artificial viscosity is added only on the fluctuations in the velocity gradient by removing this effect on a coarse mesh. The dissipative influence of the artificial viscosity is further eliminated in the correction step while gaining additional temporal accuracy at the same time. The stability and accuracy analyses of the resulting algorithm are investigated both analytically and numerically.