Abstract
SPRINT2D is a set of software tools for solving time-dependent partial differential equations in two space variables. The software uses unstructured triangular meshes and adaptive error control in both space and time. This chapter describes the software and shows how the adaptive techniques may be used to increase the reliability of the solution procedure for a challenging combustion problem. The recent construction of a problem solving environment (PSE) has partially automated the use of SPRINT2D. This PSE consists of tools such as a visual domain specification tool, which helps ease the input of complex geometries, and a visual problem specification tool. After describing these components an evaluation will be made of SPRINT2D and its associated PSE.
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References
S. Adjerid, J. E. Flaherty, P. K. Moore, and Y. J. Wang. High-order adaptive methods for parabolic equations. In J. M. Hyman, editor, Experimental Mathematics: Computational Issues in Non-Linear Science, Physics D 60 1–4, pages 94–111. North-Holland, 1992.
R. E. Bank. PLTMG: A Software Package for Solving Elliptic Partial Differential Equations Users’ Guide 7.0, SIAM, Philadelphia,1995.
M. Berzins, P. H. Gaskell, A. Sleigh, W. Speares, A. Tomlin, and J. M. Ware. An adaptive CFD solver for time dependent environmental flow problems. pages 311–318 in Numerical Methods for Fluid Dynamics V, Eds K. W. Morton and M. J. Baines, Clarendon Press, Oxford 1995.
M. Berzins and J. M. Ware. Solving convection and convection reaction problems using the M.O.L. Appl. Num. Math., 20:83–99, 1996.
R. M. Furzeland, P. C. Rem, and R. F. Van der Wijngaart. General purpose software for multi-dimensional partial differential equations. Tech. Rep., Shell Research Amsterdam, 1989.
E. Gallopoulos, R. Houstis, and J. R. Rice. Future directions in problem solving environments for computational science. Technical report, NSF Workshop on Research Directions in Integrating Numerical Analysis, Symbolic Computing, Computational Geometry and Artificial Intelligence for Computational Science, Washington, D.C., April 1991.
B. Joe. GEOMPACK - A software package for the generation of meshes using geometric algorithms. Adv. Eng. Soft., 13(5/6):325–331, 1991.
J. Pan and C. G. W. Sheppard, A theoretical and experimental study of the modes of end gas autoignition leading to knock in an Si engine. S.A.E. paper 94–2060 (1994). S.A.E., Warrendale, PA 15096, USA
S. V. Pennington and M. Berzins. New NAG library software for first-order partial differential equations. AСM Transactions on Mathematical Software, 20(1):63–99, March 1994.
P. R. Pratt. Problem Solving Environments for the Numerical Solution of P.D.E.s Ph.D. Thesis, University of Leeds, 1995.
P. R. Pratt and M. Berzins. Shock Preserving Quadratic Interpolation for Visualisation on Triangular Meshes. Comput. and Graphics, 20(5) 1996.
L. E. Scales. NAESOL: User’s guide. Internal report, Shell Research Ltd, Chester, 1993.
H. J. Stetter. Tools for scientific computation. Zeitschrift für Angewandte Mathematik und Mechanik ZAMM, 73(12):335–348, 1993.
C. M. Walshaw and M. Berzins. Dynamic load balancing for PDE solvers on adaptive unstructured meshes. Concurrency Practice and Experience 7:7–28, 1995.
J. M. Ware. The Adaptive Solution of Time-Dependent Partial Differential Equations in Two Space Dimensions. PhD thesis, School of Computer Studies University of Leeds, 1993.
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© 1997 Springer Science+Business Media New York
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Berzins, M., Pennington, S.V., Pratt, P.R., Ware, J.M. (1997). SPRINT2D Software for Convection Dominated PDEs. In: Arge, E., Bruaset, A.M., Langtangen, H.P. (eds) Modern Software Tools for Scientific Computing. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-1986-6_3
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DOI: https://doi.org/10.1007/978-1-4612-1986-6_3
Publisher Name: Birkhäuser, Boston, MA
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