University Distributed CSE Project Report Expressive and scalable finite element simulation beyond 1000 cores

The FEniCS Project is a widely used, open-source problem solving environment for partial differential equations that allows users to specify equations in mathematical sym-bolic form via a domain-specific language, and solve them using the finite element method. The FEniCS Problem solving environment provides C++ and Python interfaces, and re-lies on automated code generation to reconcile expressive input with high performance. Because of the generic nature of the software, many different scientific problems are being addressed using FEniCS/DOLFIN, including geodynamics, heat flow, elasticity, electro-magnetics, flow in porous media, Navier–Stokes equations and acoustics. The key aims of this project were to enhance the applicability and usability of DOLFIN, the core finite element library in the FEniCS Project, on parallel architectures. DOLFIN already supported fully distributed computation via MPI, but lacked some important infrastructure for enabling large scale parallel computation. This included a lack of (i) scalable parallel I/O and (ii) parallel mesh refinement. In addition, (iii) DOLFIN did not support threaded operations in combination with MPI. Implementation of the three afore-mentioned points formed the objectives of this project. All three objectives have been realised and exceeded, and the computer code developed is publicly available. Outcomes of this project are either already in a release of DOLFIN or are in development reposito-ries and will be included in the next release, and are already being used in a number of research projects, including projects supported by UK research councils