DuMu^x course exercises

The DuMu^x course comprises the following exercises. Each exercise folder contains a detailed description of the tasks (best viewed online by following the links) and the source files to work on.

📂 Basics

Based on a scenario where gas is injected into an aquifer, you learn how to

• compile and run an executable,
• see the difference of an immiscible two-phase model compared to a two-phase two-component model,
• set up a new executable,
• set up a non-isothermal test problem based on the isothermal test problem,
• set boundary conditions.

📂 Main file

In this exercise, you learn how to

• find your way in the main file,
• solve a stationary, linear system,
• solve an instationary, linear system,
• solve an instationary, nonlinear system,
• apply analytic differentiation.

📂 Runtime parameters

This exercise covers the following topics: You learn how to

• use different input files with one executable,
• set variables to collect runtime parameters,
• use and change default values for runtime parameters.

📂 Grids

This exercise guides you through the following tasks:

• Apply a global grid refinement,
• change the grid type,
• apply grid zoning and grading,
• read in structured and unstructured grids from external files.

📂 Properties

In this exercise, you learn how to adjust the properties in order to use a customized local residual.

📂 Model

This exercise covers the implementation of new models in DuMu^x. You learn

• how to design a nonlinear diffusion equation model from scratch (almost)
• how to implement a local residual using a minimal model design
• use DuMu^x to denoise an image (!)

📂 Fluid systems

This exercise covers the handling of phases and components in DuMu^x. You learn

• how to implement and use a new, customized component,
• how to implement a new fluidsystem,
• and how to change the wettability of the porous medium.

📂 Dune module

You learn how to

• create a new dune module which depends on the dumux module,
• create a new GitLab project.

📂 Coupling free and porous medium flow

This exercise is related to the SFB1313 Project Area A

You learn how to

• use a coupled problem set-up,
• change coupling conditions between the two domains, porous-medium flow and free flow,
• change the shape of the interface between the two domains,
• change the model in the porous-medium domain,
• change the model in the free-flow domain.

📂 Discrete fracture modeling

This exercise is related to the SFB1313 Project Area B

You learn how to

• use a problem containing embedded, discrete fractures,
• change the properties of the fractures,
• use domain markers to set internal boundary conditions.

📂 Biomineralization

This exercise is related to the SFB1313 Project Area C

You learn how to

• include a chemical reaction in the problem setup,
• apply the mineralization model, i.e. add balance equations to describe dynamic solid phases.
• compare different simulation results using a programmable filter in Paraview