 # Scientific Computing with Applications in Tribology Scientific Computing with Applications in Tribology is a 3rd-semester course held at Luleå University of Technology, Sweden

### Semester

3. b semester - Lulea University of Technology, Sweden

### Lecturer

Prof. Dr. Andreas Almqvist

7.5

### Contact Information

Luleå University of Technology, Sweden

## Course Overview

### Module objectives

After completing this course you will be able to:

• understand the possibilities and limitations of simulations in tribology
• understand the fundamentals of lubrication theory
• understand how to model full film and mixed lubrication
• know how elastohydrodynamic lubrication is modelled and how models can be used for simulations of gear teeth contacts
• write a computer program which solves the lubrication theory equations

### Outline syllabus

• Introduction – Why modelling and simulations in tribology? What type of simulations can be made?
• Lubrication theory – Flows in thin films, the thin film approximation. Reynolds equation.
• The lubrication problem – Governing equations and boundary conditions (RL)
• How to solve the equations? Introduction to numerical methods used to solve Reynolds equation, load balance and more.
• An all regimes model (AA) – How to model surface roughness effects?
• The flow factor approach. Contact mechanics
• Computer lab in A1520: Finite difference solver for Reynolds equation
• Elastohydrodynamic lubrication (EHL) – Governing equations, numerical techniques
• EHL in gears – what can we learn from simulations?
• Wear simulations – can wear process be modelled and simulated?
• Wear models and simulation methods
• Typical results and their applicability
• Computer lab in A1520: Finite difference solver for Reynolds equation, continuation
• Mixed lubrication – how to use a two scale model which takes both hydrodynamic action and contact mechanics into account? Some results from on-going research
• Modelling of thermal effects in tribology
• Running-in effects in tribology
• Computer lab in A1520: Using multiphysics software for simulations of tribology

### Monitoring of student progress:

• Computing work
• Assignment
• Written exam