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

Note: If you use the code for research or development, please cite the following original publications: Domain decomposition and partitioning methods for mixed finite element discretizations of the Biot system of poroelasticity M Jayadharan, E Khattatov, I Yotov Computational Geosciences 25, 1919-1938 and Multiscale mortar mixed finite element methods for the Biot system of poroelasticity M Jayadharan, I Yotov arXiv preprint arXiv:2211.02949

Limited user manual. Please visit the similar space-time DD project to see a detailed documentaion on how to install and run the simulator.
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]
researchgate link
linkedin profile

Eldar Khattatov, Department of Mathematics at University of Pittsburgh, 2018

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 and .. -DCMAKE_PREFIX_PATH=path_to_mpi_lib flags 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.