Meshless methods are an alternative procedure for solving partial differential equations in opposition to the numerical methods that require structured meshes. In this work, the meshless method with radial basis functions (MMRB) is compared to the finite difference method (FDM) for solving the Reynolds equation applied to lubricated finite bearing applications. The performance of these two methods is compared based on the precision of estimating the normal force applied to the sliding surface of the bearing. Different mesh families are tested for different bearing configurations. Results show that the MMRB is better than the FDM for nonrectangular geometries with coarser meshes. For rectangular domains without discontinuities, the FDM is still the best choice for solving the problem.
Skip Nav Destination
School of Engineering of São Carlos,
Department of Mechanical Engineering,
Trabalhador São-Carlense 400,
São Carlos, 13566-590 Brazil
e-mail: rnicolet@sc.usp.br
Article navigation
October 2013
Technical Briefs
Comparison Between a Meshless Method and the Finite Difference Method for Solving the Reynolds Equation in Finite Bearings
Rodrigo Nicoletti
School of Engineering of São Carlos,
Department of Mechanical Engineering,
Trabalhador São-Carlense 400,
São Carlos, 13566-590 Brazil
e-mail: rnicolet@sc.usp.br
Rodrigo Nicoletti
University of São Paulo
,School of Engineering of São Carlos,
Department of Mechanical Engineering,
Trabalhador São-Carlense 400,
São Carlos, 13566-590 Brazil
e-mail: rnicolet@sc.usp.br
Search for other works by this author on:
Rodrigo Nicoletti
University of São Paulo
,School of Engineering of São Carlos,
Department of Mechanical Engineering,
Trabalhador São-Carlense 400,
São Carlos, 13566-590 Brazil
e-mail: rnicolet@sc.usp.br
Contributed by the Tribology Division of ASME for publication in the JOURNAL OF TRIBOLOGY. Manuscript received February 7, 2013; final manuscript received May 20, 2013; published online June 24, 2013. Assoc. Editor: George K. Nikas.
J. Tribol. Oct 2013, 135(4): 044501 (9 pages)
Published Online: June 24, 2013
Article history
Received:
February 7, 2013
Revision Received:
May 20, 2013
Citation
Nicoletti, R. (June 24, 2013). "Comparison Between a Meshless Method and the Finite Difference Method for Solving the Reynolds Equation in Finite Bearings." ASME. J. Tribol. October 2013; 135(4): 044501. https://doi.org/10.1115/1.4024752
Download citation file:
Get Email Alerts
Related Articles
Theory of Difference Schemes
Appl. Mech. Rev (March,2002)
Dual Solutions in Magnetohydrodynamic Mixed Convection Flow Near a Stagnation-Point on a Vertical Surface
J. Heat Transfer (September,2007)
Nodal Integral and Finite Difference Solution of One-Dimensional Stefan Problem
J. Heat Transfer (June,2003)
Thermal Effects in Externally Pressurized Conical Bearings With Variable Viscosity
J. Tribol (April,1988)
Related Proceedings Papers
Related Chapters
Approximate Analysis of Plates
Design of Plate and Shell Structures
Introduction
Introduction to Finite Element, Boundary Element, and Meshless Methods: With Applications to Heat Transfer and Fluid Flow
An Improved Power Diode Model Based on Finite Difference Method
International Conference on Advanced Computer Theory and Engineering (ICACTE 2009)