Fluid flow simulator based on Biot system of poroelasticity, using Mixed Finite Element method with domain decomposotion techniques to improve computational efficiency.

Code developed to simulate time-dependent diffusion problem using Multiscale Mortar Mixed Finite Elements(MMMFE). Model can be easily adapted to simulate other fluid flow models based on linear PDEs. Sub-domain solves are done in parallel across different processors using MPI. Computed solutions are outputted and visualized on a global space-time grid in the .vtk and .vtu formats.

• The simulator is written using deal.ii FE package which is based on C++.
• All instructions are with respect to a terminal in linux/mac. Please use the ubuntu sub-system if you are using windows 10. A good installation guide for the linux sub-system can be found here.
• Image/animation processing and visualization can be done using paraview. Installation guide can be found here.

Manu Jayadharan, Department of Mathematics at University of Pittsburgh 9/17/2019

email: [email protected], [email protected]
reserachgate link
linkedin profile

Need deal.ii configured with mpi to compile and run the simulations. Latest version of dealii can be found at : https://www.dealii.org/download.html

deal.ii installation instruction: Follow readme file to install latest version of deal.ii with -DDEAL_II_WITH_MPI=ON flag to cmake.

cmake -DDEAL_II_DIR=/path to dealii installation folder/ . from the main directory

make release for faster compilations

make debug for more careful compilations with warnings

mpirun -n 'j' BiotDD where j is the number of subdomains(processses)

Please contact the author for further instructions.

• Most of the parameters including number of refinements, mortar_degree, max_number of gmres iterations, final_time, subdomain mesh size ratio etc are fed to the executable file DarcyVT using parameter.txt in the main folder. This file can simply be modified without recompiling the program.