SPRINT2D: adaptive software for PDEs

Authors:
M. Berzins;R. Fairlie;S. V. Pennington;J. M. Ware;L. E. Scales
Affiliations:
The University of Leeds;The University of Leeds;The University of Leeds;The University of Leeds;The University of Leeds
Venue:
ACM Transactions on Mathematical Software (TOMS)
Year:
1998

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Abstract

SPRINT2D is a set of software tools for solving both steady an unsteady partial differential equations in two-space variables. The software consists of a set of coupled modules for mesh generation, spatial discretization, time integration, nonlinear equations, linear algebra, spatial adaptivity, and visualization. The software uses unstructured triangular meshes and adaptive local error control in both space and time. The class of problems solved includes systems of parabolic, elliptic, and hyperbolic equations; for the 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 for a Burgers' equations problem, an electrostatics problem from elastohydrodynamic lubrication, and a challenging gas jet problem.