SPRINT2D: Adaptive software for PDEs

SPRINTED is a set of software tools for solving both steady and unsteady pa rtial differential equations in two-space variables. The software consists of a set of coupled modules for mesh generation, spatial discretization, ti me integration, nonlinear equations, linear algebra, spatial adaptivity, an d visualization. The software uses unstructured triangular meshes and adapt ive local error control in both space and time. The class of problems solve d includes systems of parabolic, elliptic, and hyperbolic equations; for th e latter by use of Riemann-solver-based methods. This article describes the software and shows how the adaptive techniques may be used to increase the reliability of the solution procedure for a Burgers' equations problem, an electrostatics problem from elastohydrodynamic lubrication, and a challeng ing gas jet problem.