## Formulation of the Reynolds equation on a time-dependent lubrication surface.

- I Temizer, Stanis law Stupkiewicz
- Proceedings. Mathematical, physical, and…
- 2016

@inproceedings{Luo2004OnTC, title={On the contravariant form of the Navier – Stokes equations in time-dependent curvilinear coordinate systems}, author={Haoxiang Luo and Thomas R. Bewley}, year={2004} }

- Published 2004

The contravariant form of the Navier–Stokes equations in a fixed curvilinear coordinate system is well known. However, when the curvilinear coordinate system is time-varying, such as when a body-fitted grid is used to compute the flow over a compliant surface, considerable care is needed to handle the momentum term correctly. The present paper derives the complete contravariant form of the Navier–Stokes equations in a time-dependent curvilinear coordinate system from the intrinsic derivative of… CONTINUE READING