Tutorials

This section contains a series of tutorials that guide users through features and applications of the GaPFlow framework. Each tutorial is designed to provide hands-on experience with different aspects, going from basic concepts to simulations that integrate all previously covered parts.

The first tutorial introduces the mathematical foundation for the multiscale approach, splitting the problem into a micro- and macro-problem. Subsequent tutorials build upon this foundation, covering the constitutive equations for stress, equations of state, and viscosity. The pieces are brought together in tutorials 4, 5 and 6, which focus on confined fluids and lubrication problems. Tutorial 7 introduces Gaussian Processes for surrogate modeling of the micro-problem, using actual MD simulation data in tutorial 8. The final tutorial illustrates the coupling between fluid pressure and the elastic deformation of the solid surfaces.

• 1. Governing equations
• 2. Viscous stress tensor calculation with wall slip
• 3. Constitutive laws
• 4. Dynamics of highly confined fluids
• 5. Lubrication (1D)
• 6. Lubrication (2D)
• 7. Gaussian process regression and active learning
• 8. Gaussian process regression with MD data
• 9. Elastic Deformation