| Автор | Bainian Liu |
| Автор | Aguirre, Fernando, J. |
| Дата выпуска | 1990 |
| dc.description | This paper discusses an efficient method for handling time dependent boundary conditions with the DSS/2 differential equation solver. The method was evaluated by using it in the numerical solution of a diffusion problem. The proposed method is also particularly useful for boundary conditions in which only derivatives of the depend ent variables are involved. The method is based on transforming the boundary conditions at the interface to a set of algebraic equations which must be solved simultaneously at each integra tion step. Both algebraic and numerical solutions of this set of equations are discussed, and the relative merits of each one of these solutions are evaluated. The proposed method provides significant improvements in computation times and is capable of handling more complex boundary conditions as compared to other conventional methods. |
| Издатель | Sage Publications |
| Название | An efficient method for handling time-dependent boundary conditions with the DSS/2 differential equation solver |
| Тип | Other |
| DOI | 10.1177/003754979005400604 |
| Print ISSN | 0037-5497 |
| Журнал | Simulation |
| Том | 54 |
| Первая страница | 274 |
| Последняя страница | 279 |
| Аффилиация | Bainian Liu, Chemical and Metallurgical Engineering Department University of Nevada-Reno Reno, NV 89557 |
| Аффилиация | Aguirre, Fernando, J., Chemical and Metallurgical Engineering Department University of Nevada-Reno Reno, NV 89557 |
| Выпуск | 6 |
| Библиографическая ссылка | Aguirre, F.J., Klinzing, G.E., Chiang, S.H., Leaf, G.K. and Minkoff, M., "Diffusion Model for Simultaneous Mass and Heat Transfer in Partially Miscible Liquid Systems: Experimental Findings and Numerical Simulation", Chemical Engineering Science, 40, 1449-1456 (1985 ). |
| Библиографическая ссылка | Crank, J., The Mathematics of Diffusion, pp.38-49, Clarendon Press, Oxford (1975). |
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| Библиографическая ссылка | Pirkle, J.C. and Schiesser, W.E., "Dynamic Simulation of Complex, Multi-Stage Separation and Reactor Systems by a Modified DSS/2 Simulator", 1986 AIChE Annual Meeting, Miami Beach, FL, Nov. 2-7 ( 1986). |
| Библиографическая ссылка | Schiesser, W.E., "Introductory Programming Manual", DSS/2 Manual No.1, Lehigh University (1976). |
| Библиографическая ссылка | Schiesser, W.E., "An Introduction to the Numerical Method of Lines Integration of Partial Differential Equations", DSS/2 Manual No.2, Lehigh University , 41-47 (1977). |
| Библиографическая ссылка | Schiesser, W.E., "Variable-Grid Spatial Differentiator in the Numerical Method of Lines ", DSS/2 Manual No.6, Lehigh University ( 1984). |
| Библиографическая ссылка | Smith, C.A. and Corripio, A.B., Principles and Practice of Automatic Process Control, John Wiley & Sons, pp.491-493 (1984). |
