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Stabilized fully-coupled finite elements for elastohydrodynamic lubrication problems

机译:稳定的全耦合有限元,用于弹性流体动力润滑问题

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摘要

This work presents a model for elastohydrodynamic (EHD) lubrication problems. A finite element full-system approach is employed. The hydrodynamic and elastic problems are solved simultaneously which leads to fast convergence rates. The free boundary problem at the contact's exit is handled by a penalty method. For highly loaded contacts, the standard Galerkin solution of Reynolds equation exhibits an oscillatory behaviour. The use of artificial diffusion techniques is proposed to stabilize the solution. This approach is then extended to account for non-Newtonian lubricant behaviour and thermal effects. Artificial diffusion procedures are also introduced to stabilize the solution at high loads.
机译:这项工作为弹性流体动力(EHD)润滑问题提供了一个模型。采用了有限元全系统方法。同时解决了流体动力学和弹性问题,这导致了快速收敛。联系人出口处的自由边界问题通过惩罚方法处理。对于高负载触点,雷诺方程的标准Galerkin解表现出振荡行为。建议使用人工扩散技术来稳定溶液。然后将此方法扩展为考虑非牛顿润滑剂的行为和热效应。还引入了人工扩散程序来稳定高负荷下的溶液。

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