ParMooN

ParMooN: Parallel Mathematics and object oriented Numerics

ParMooN [Wilbrandt et al., 2017] is a C++ program package for the numerical solution of elliptic and parabolic partial differential equations based on mapped finite elements.

Cite as: Wilbrandt, U. et al., ParMooN - A modernized program package based on mapped finite elements, Computers & Mathematics with Applications, 74(1), 74-88 (2017).

Developers

Prof. Dr. Volker John, Sarah Katz, Dr. Baptiste Moreau, Dr. Ondrej Pártl

---

Features

• Continuous, discontinuous, non-conforming 1D, 2D and 3D finite elements of several orders
• Geometric multigrid and algebraic multigrid solvers
• MPI parallelization
• Integrates PETSc, UMFPACK, METIS, and MUMPS
• Supports meshes generated with Gmsh and TetGen
• Reduced order modeling (POD-ROM) for convection-diffusion and Navier-Stokes equations
• Different turbulence models

Application areas

• Convection-dominated problems
• Population balance dynamics in 4D and 5D
• Turbulence modeling
• Flows in porous media
• Blood flow simualations
• Optimization problems involving flow fields

References

• Wilbrandt, U. et al., ParMooN - A modernized program package based on mapped finite elements, Computers & Mathematics with Applications, 74(1), 74-88 (2017), doi 10.1016/j.camwa.2016.12.020
  Cited by 35 (sciencedirect)
  Download: WIAS Preprint, Citation (BibTex)
• John, V. and Matthies, G., MooNMD - a program package based on mapped finite element methods, Computing and Visualization in Science 6, 163-170 (2004), 10.1007/s00791-003-0120-1
  Download: Publication, Citation (BibTex)

---

• Katz S. et al., Impact of turbulence modeling on the simulation of blood flow in aortic coarctation, Int. J. Numer. Methods Biomed. Engnr.39(5), e3695 (2023), doi 10.1002/cnm.3695
  Download: Preprint (arXiv), Citation (BibTex)
• Pártl, O. et al., Reconstruction of flow domain boundaries from velocity data via multi-step optimization of distributed resistance, Computers & Mathematics with Applications, 129(11), 11-33 (2023), doi 10.1016/j.camwa.2022.11.006
• Blank, L. et al., Modeling, simulation, and optimization of geothermal energy production from hot sedimentary aquifers, Computational Geosciences, 25 (2021), pp. 67-104, doi 10.1007/s10596-020-09989-8
  Download: WIAS Preprint, Citation (BibTex)
• Wilbrandt, U. et al., Optimal control of buoyancy-driven liquid steel stirring modeled with single-phase Navier-Stokes equations, J. Math. Industry 11, 10 (2021), doi 10.1186/s13362-021-00106-7
  Download: WIAS Preprint, Citation (BibTex)
• Janke, D. et al., On the feasibility of using open source solvers for the simulation of a turbulent air flow in a dairy barn, Computers and Electronincs in Agriculture, 175 (2020), doi 10.1016/j.compag.2020.105546
  Download: WIAS Preprint, Citation (BibTex)
• Caiazzo, A. et al., A numerical investigation of velocity-pressure reduced order models for incompressible flows, J. Comp. Phys. 259 598-616 (2014), 10.1016/j.jcp.2013.12.004
  Download: WIAS Preprint, Citation (BibTex)