一般曲线网格中润滑界面的高级建模
Advanced Modeling of Lubricated Interfaces in General Curvilinear Grids
AI总结：
本文提出基于Reynolds的有限体积流固耦合框架，在非正交曲线网格上求解热弹性流体动力润滑问题，确保流体流动守恒与质量守恒空化条件，为摩擦学感知设计提供预测工具。
摘要：
解决涉及复杂表面几何形状的流体流动问题，一直是大量旨在适应复杂弯曲边界的数值研究的催化剂。例如贴体曲线坐标变换的应用，实现了网格点从物理域到计算域的一一对应。在润滑界面中，由于映射网格中复杂的控制方程、其非线性所表现出的数值不稳定性以及操作条件的严苛性，这种转换具有挑战性。本文提出了一种基于Reynolds的有限体积流固耦合（FSI）框架，用于求解映射到计算域中非正交曲线网格上的热弹性流体动力润滑（TEHL）问题。我们展示了相关控制方程的强守恒形式如何在三维曲线网格中表达，并使用有限体积法进行离散化，以确保流体流动守恒并强制执行质量守恒的空化条件。数值和实验基准展示了所提出框架在模拟各种润滑问题方面的稳健性和多功能性，从而实现了一种预测性计算工具，将能够向摩擦学感知设计转变。
英文摘要：
Tackling fluid-flow problems involving intricate surface geometries has been the catalyst for a plethora of numerical investigations aimed at accommodating curved complex boundaries. An example is the application of body-fitted curvilinear coordinate transformation, where the one-to-one correspondence of grid points from the physical to the computational domain is achieved. In lubricated interfaces, such conversion is challenging due to the complex governing equations in the mapped-grid, the numerical instabilities exhibited by their non-linearities and the severity of operating conditions. The present contribution proposes a Reynolds-based, finite volume fluid-structure interaction (FSI) framework for solving thermal elastohydrodynamic lubrication (TEHL) problems mapped onto non-orthogonal curvilinear grids in the computational domain. We demonstrate how the strong conservation form of the pertinent governing equations can be expressed in three-dimensional curvilinear grids and discretised using finite volume method to ensure fluid-flow conservation and enforce mass-conserving cavitation conditions. Numerical and experimental benchmarks showcase the robustness and versatility of the proposed framework to simulate a diverse range of lubrication problems, hence achieving a predictive computational tool that would enable a shift towards tribology-aware design.
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