This is a library of tutorials made for and by Hydraulic and Offshore Engineering students at Delft University of Technology. The goal of this library is two fold:

1. Guide students on the use of Gridap.jl to solve PDEs, providing tutorials for a wide variety of background levels.

2. Give visibility to the work of MSc students that used Gridap.jl in their MSc thesis/project.

The collection of tutorials posted in this site are based on Gridap.jl a pure Julia Finite Element library. Here you will find tutorials covering contents in computational modeling taught in the Civil Engineering MSc at TU Delft, and tutorials related to MSc thesis from different masters, including:

• Master of Offshore and Dredging Engineering

• Master of Civil Engineering: Hydraulic Engineering

List of tutorials:

Theory tutorials

1. Solving PDEs with Gridap.jl

2. Solving the Euler-Bernoulli equation with Continuous/Discontinuos FEs

3. Solving the Timoshenko beam equation: approaches to avoid shear locking

4. Strong vs weak Dirichlet boundary conditions

MSc Thesis tutorials

Waves through porous medium by Joël Ruesen, January 2022

This tutorial shows how wave-progression through a porous medium is modelled. The model uses viscous incompressible Navier Stokes in combination with Darcy-Forchheimer resistance terms in the momentum balance, implemented using the Gridap library.

Reference: Ruesen, Joël. Wave damping by large-scale offshore kelp farms - a numerical modelling framework using a porous medium approach. (2022). MSc thesis

Very Large Floating Structures (VLFS) by Dorette Regout, October 2021

This tutorial shows how to solve a Fluid Structure Interaction (FSI) problem using Gridap and provides the instructions to build a 2D model considering a multi-module VLFS, solved in the frequency domain.

Reference: Regout, Dorette. Hydroelastic Analysis of a Multi-Module Very Large Floating Structure. (2021). MSc thesis

Very Flexible Floating Structures (VFFS) by Sjoerd van Hoof, July 2021

This tutorial shows how a Fluid Structure Interaction (FSI) in a 2D domain is modelled. Potential flow is used to model the fluid and on top a Dynamic Euler-Bernoulli beam is located that serves as the floating structure.

Reference: van Hoof, Sjoerd. Hydroelastic wave deformation of Very Flexible Floating Structures: A performance study of a monolithic finite element model. (2021). MSc thesis

Additional material

The tutorials in this library are not covering all the features of Gridap. If you are interested in additional Gridap-related material, please take a look at the following sources:

Sources to learn Julia:

• Download the binary and documentation

• Short free courses

• Introduction workshop to julia: Introduction to Julia | Jose Storopoli | JuliaCon 2022

Sources about Gridap.jl:

• Gridap.jl: a FE package to solve PDEs in Julia

• Gridap wiki. In this wiki-page you will find interesting descriptions on:

  • Getting started with Gridap

  • Using VS-Code as Julia IDE

  • REPL workflows

  • "How-to" tutorials on creating a julia package, generating documentation, precompiling a package and registering a package in the Julia server.

• Gridap tutorials

Presentations at JuliaCon:

• Solving partial differential equations in Julia with Gridap.jl | Francesc Verdugo | JuliaCon 2020

• New tools to solve PDEs in Julia with Gridap.jl | Francesc Verdugo et al | JuliaCon2021

• Solving transient PDEs in Julia with Gridap.jl | Oriol Colomes | JuliaCon 2022