SPRINT2D
- 1 December 1998
- journal article
- Published by Association for Computing Machinery (ACM) in ACM Transactions on Mathematical Software
- Vol. 24 (4) , 475-499
- https://doi.org/10.1145/293686.293696
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.Keywords
This publication has 16 references indexed in Scilit:
- Solving convection and convection-reaction problems using the method of linesApplied Numerical Mathematics, 1996
- Temporal Error Control for Convection-Dominated Equations in Two Space DimensionsSIAM Journal on Scientific Computing, 1995
- Positive cell-centered finite volume discretization methods for hyperbolic equations on irregular meshesApplied Numerical Mathematics, 1995
- Reliable Finite Volume Methods for Navier Stokes EquationsPublished by Springer Nature ,1994
- Adaptive Linear Equation Solvers in Codes for Large Stiff Systems of ODEsSIAM Journal on Scientific Computing, 1993
- High-order adaptive methods for parabolic systemsPhysica D: Nonlinear Phenomena, 1992
- An adaptive theta method for the solution of stiff and nonstiff differential equationsApplied Numerical Mathematics, 1992
- GEOMPACK — a software package for the generation of meshes using geometric algorithmsAdvances in Engineering Software and Workstations, 1991
- Numerical Continuation MethodsPublished by Springer Nature ,1990
- Developing software for time-dependent problems using the method of lines and differential-algebraic integratorsApplied Numerical Mathematics, 1989