基于残差的非正交性修正，用于力平衡非结构化体积分数方法
A residual-based non-orthogonality correction for force-balanced unstructured Volume-of-Fluid methods
AI总结：
提出基于残差的非正交性修正控制，用于非结构化有限体积两相流模拟，确保力平衡并消除自由参数，在多种网格上验证了表面张力与重力的平衡。
摘要：
在模拟不可压缩两相流的非结构化有限体积方法中，非正交性误差可能破坏力平衡离散。我们表明，在分离式求解算法的背景下，对所有梯度项应用相同的显式非正交性修正是不足以实现力平衡的。为确保力平衡，我们引入了一种直接且确定性的基于残差的非正交性修正控制，该控制消除了模拟中非正交性修正次数作为自由参数的需要。我们的方法可直接应用于不同的非结构化有限体积两相流模拟方法，只要它们离散不可压缩两相Navier-Stokes方程的单场公式即可。我们通过静止液滴和静止水柱验证案例，在具有不同非正交性水平的多面体非结构化网格上，针对代数和几何体积分数方法，证明了表面张力力和重力力在接近线性求解器容差时的力平衡。
英文摘要：
Non-orthogonality errors in unstructured Finite Volume methods for simulating incompressible two-phase flows may break the force-balanced discretization. We show that applying the same explicit non-orthogonality correction for all gradient terms in the context of segregated solution algorithms is not sufficient to achieve force balance. To ensure force balance, we introduce a straightforward and deterministic residual-based control of the non-orthogonality correction, which removes the number of non-orthogonality corrections as a free parameter from the simulation. Our method is directly applicable to different unstructured finite-volume two-phase flow simulation methods as long as they discretize the one-field formulation of incompressible two-phase Navier-Stokes equations. We demonstrate force balance for the surface tension force and the gravity force near linear solver tolerance for an algebraic and a geometric Volume-of-Fluid method using the stationary droplet and stationary water column verification cases on polyhedral unstructured meshes with varying levels of non-orthogonality.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
