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THE USE OF THE DIGITAL SIMULATION LANGUAGE PDEL IN HYDROLOGIC STUDIES 1
Author(s) -
Tarn Wing Cheung,
Karplus Walter J.
Publication year - 1973
Publication title -
jawra journal of the american water resources association
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.957
H-Index - 105
eISSN - 1752-1688
pISSN - 1093-474X
DOI - 10.1111/j.1752-1688.1973.tb05849.x
Subject(s) - partial differential equation , computer science , elliptic partial differential equation , hyperbolic partial differential equation , mathematics , differential equation , digital computer , mathematical analysis , computer engineering
Digital simulation languages have become popular means for the simulation and analysis of systems on a digital computer. However, the use of these languages for the simulation of systems characterized by partial differential equations has been very limited. In hydrologic studies, mathematical models involving elliptic and parabolic partial differential equations are most common. This paper describes the application of the digital simulation language PDEL to analyze problems in hydrologic studies. PDEL is designed specifically to solve partial differential equations of the elliptic, parabolic, and hyperbolic types. The language provides convenient and easy‐to‐learn statements for the description of problem to the computer. A computer program is automatically generated to solve the problem and the numberical solution printed and plotted. Two important hydrologic problems are used for illustration. The first is the analysis of ground‐water table recession in large unconfined aquifers and the second is the growth of ground‐water mounds in response to uniform percolation.