SPRINT2D is a set of software tools for solving both steady and unsteady partial differential equations (PDEs) 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 procedure for a Burgers’ equations problem, an electrostatics problem from elastohydrodynamic lubrication, and a challenging gas jet problem.

This software is also peer reviewed by journal TOMS.

References in zbMATH (referenced in 25 articles , 1 standard article )

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  1. Bykov, V.; Griffiths, J. F.; Piazzesi, R.; Sazhin, S. S.; Sazhina, E. M.: The application of the global quasi-linearisation technique to the analysis of the cyclohexane/air mixture autoignition (2013)
  2. Lehnasch, G.; Bruel, P.: A robust methodology for RANS simulations of highly underexpanded jets (2008)
  3. Bertolazzi, Enrico; Manzini, Gianmarco: Algorithm 817 P2MESH: generic object-oriented interface between 2-D unstructured meshes and FEM/FVM-based PDE solvers (2002)
  4. Parker, S. G.: A component-based architecture for parallel multi-physics PDE simulation (2002)
  5. Rabier, Patrick J.; Rheinboldt, Werner C.: Theoretical and numerical analysis of differential-algebraic equations (2002)
  6. Manca, D.; Buzzi-Ferraris, G.; Faravelli, T.; Ranzi, E.: Numerical problems in the solution of oxidation and combustion models (2001)
  7. Pennington, S. V.; Jimack, P. K.; McFarlane, K.: Adaptive numerical simulation of the remediation of soil contamination by in-situ gas venting (1999)
  8. Walkley, M.; Berzins, M.: A finite element method for the one-dimensional extended Boussinesq equations (1999)
  9. Berzins, Martin; Capon, Philip J.; Jimack, Peter K.: On spatial adaptivity and interpolation when using the method of lines (1998)
  10. Berzins, M.; Fairlie, R.; Pennington, S. V.; Ware, J. M.; Scales, L. E.: SPRINT2D: Adaptive software for PDEs (1998)
  11. Berzins, M.; Pennington, S. V.; Pratt, P. R.; Ware, J. M.: SPRINT2D software for convection dominated PDEs (1997)
  12. Neumeyer, T.; Rentrop, P.: The DAE-aspect of the charge cycle in a combustion engine (1997)
  13. Berzins, M.; Ware, J. M.: Solving convection and convection-reaction problems using the method of lines (1996)
  14. Blom, J. G.; Zegeling, P. A.: Algorithm 731: A moving-grid interface for systems of one-dimensional time-dependent partial differential equations (1994)
  15. Carroll, John: A composite integration scheme for the numerical solution of systems of parabolic PDEs in one space dimension (1993)
  16. Jackson, K. R.; Seward, W. L.: Adaptive linear equation solvers in codes for large stiff systems of ODEs (1993)
  17. Bharat, V.; Ray, Asit K.: Evaporation and growth dynamics of a layered droplet (1992)
  18. Wathen, A. J.: Optimal moving grids for time-dependent partial differential equations (1992)
  19. Zegeling, P. A.; Blom, J. G.: A note on the grid movement induced by MFE (1992)
  20. Pai, Prasad; Tsang, T. H.: A finite element solution to turbulent diffusion in a convective boundary layer (1991)

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Further publications can be found at: http://www.comp.leeds.ac.uk/cpde/projects/sprint_publications.html