Space-Time Isogeometric Flow Analysis with Built-in Reynolds-Equation Limit
Space-Time Isogeometric Flow Analysis with Built-in Reynolds-Equation Limit
复制标题
具有内置雷诺方程极限的时空等几何流分析
DOI：
10.1142/s0218202519410021
复制
发表时间：
2019
影响因子：
3.5
通讯作者：
Tezduyar Tayfun E.
中科院分区：
文献类型：
--
作者：
Kuraishi Takashi;Takizawa Kenji;Tezduyar Tayfun E.
本文提出了一种具有内建的抛物方程极限的时空（ST）计算流分析方法。该方法使润滑流体动力学问题的解决方案的计算成本可比的解决方案的质量相当的哈罗德方程模型，但与计算的灵活性，超越了哈罗德方程模型的限制。该方法的关键组成部分是ST变分多尺度（ST-VMS）方法，ST等几何分析（ST-IGA）和ST滑动界面（ST-SI）方法。ST-VMS的VMS特征作为具有良好跟踪记录的数值稳定方法，ST框架的移动网格特征使得移动流固界面附近的高分辨率流动计算成为可能，并且ST框架的高阶精度加强了这两个特征。ST-IGA能够更准确地表示固体表面几何形状，并提高流动解的精度。与ST-IGA，即使只有一个二次NURBS元素差距的润滑流体动力学问题，我们达到了解决方案的质量相媲美的的哈罗德方程模型。ST-SI使移动网格计算时，旋转的固体表面是非圆形的。覆盖固体表面的网格随之旋转，保留了表面附近流动的高分辨率表示，旋转网格和网格其余部分之间的SI精确地连接了解决方案的两侧。我们提出了详细的2D测试计算，以显示该方法如何执行相比，在不同的圆周和正常的网格细化水平，当网格中有一个SI，以及当无滑移边界条件弱强制相比，与有限元离散化。
We present a space–time (ST) computational flow analysis method with built-in Reynolds-equation limit. The method enables solution of lubrication fluid dynamics problems with a computational cost comparable to that of the Reynolds-equation model for the comparable solution quality, but with the computational flexibility to go beyond the limitations of the Reynolds-equation model. The key components of the method are the ST Variational Multiscale (ST-VMS) method, ST Isogeometric Analysis (ST-IGA), and the ST Slip Interface (ST-SI) method. The VMS feature of the ST-VMS serves as a numerical stabilization method with a good track record, the moving-mesh feature of the ST framework enables high-resolution flow computation near the moving fluid–solid interfaces, and the higher-order accuracy of the ST framework strengthens both features. The ST-IGA enables more accurate representation of the solid-surface geometries and increased accuracy in the flow solution in general. With the ST-IGA, even with just one quadratic NURBS element across the gap of the lubrication fluid dynamics problem, we reach a solution quality comparable to that of the Reynolds-equation model. The ST-SI enables moving-mesh computation when the spinning solid surface is noncircular. The mesh covering the solid surface spins with it, retaining the high-resolution representation of the flow near the surface, and the SI between the spinning mesh and the rest of the mesh accurately connects the two sides of the solution. We present detailed 2D test computations to show how the method performs compared to the Reynolds-equation model, compared to finite element discretization, at different circumferential and normal mesh refinement levels, when there is an SI in the mesh, and when the no-slip boundary conditions are weakly-enforced.