A hybrid mimetic spectral element method for three-dimensional linear elasticity problems

We introduce a domain decomposition structure-preserving method based on a hybrid mimetic spectral element method for three-dimensional linear elasticity problems in curvilinear conforming structured meshes. The method is an equilibrium method which satisfies pointwise equilibrium of forces. The domain decomposition is established through...

A comparative analysis of Lagrange multiplier and penalty approaches for modelling fluid-structure interaction

Purpose: When simulating fluid-structure interaction (FSI), it is often essential that the no-slip condition is accurately enforced at the wetted boundary of the structure. This paper aims to evaluate the relative strengths and limitations of the penalty and Lagrange multiplier methods, within the context of modelling FSI, through a...

Gradient-based optimization of flow through porous media: Version 3

These notes form part of the course material for the MSc course AES1490 "Advanced Reservoir Simulation" which has been taught at TU Delft over the past decade as part of the track "Petroleum Engineering and Geosciences" in the two-year MSc program "Applied Earth Sciences".<br/>The notes cover the gradient-based optimization of subsurface flow....