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This is a Quantitative Study study (also classified as: Experimental Study).

Fully coupled high-order finite difference methods for elastohydrodynamic lubrication line and point contact problems

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Proposed methods improve accuracy in solving elastohydrodynamic lubrication contact problems, indicating enhanced numerical convergence.

The proposed method achieves more accurate solutions for elastohydrodynamic lubrication using fewer nodes.
Numerical examples show that the high-order biased upwind finite difference scheme outperforms the standard upwind scheme.
A robust numerical method is essential for addressing cavitation conditions in elastohydrodynamic lubrication problems.
The trust-region dogleg algorithm effectively solves highly nonlinear equations resulting from the discretization.

Wu et al. (2025) studied this question.

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