GRINS: A Multiphysics Framework Based on the libMesh Finite Element Library

Abstract

This paper describes a flexible $C++$ software framework, called \tt GRINS, for simulating complex multiphysics systems of partial differential equations using the finite element method. \tt GRINS is designed to facilitate the rapid development and reuse of finite element formulation code as well as other features of complex simulations, including quantity-of-interest functionals, solvers, boundary conditions, initial conditions, and postprocessing. \tt GRINS is built on the \tt FEMSystem framework that is part of the \tt libMesh finite element library. \tt GRINS, through \tt FEMSystem and \tt libMesh, supports a number of contemporary algorithms and computing features including hybrid distributed and shared memory parallelism, parallel adaptive mesh refinement on unstructured grids, goal-oriented refinement driven by dual-weighted residual error estimates in quantities of interest, and adjoint-based parameter sensitivities. \tt GRINS is deployed both as an application binary, allowing immediate use of ex...