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Computer simulation of two-dimensional unsteady flows in estuaries and embayments by the method of characteristics : Basic theory and the formulation of the numerical method

Water-Resources Investigations Report 77-85
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https://doi.org/10.3133/wri7785

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Abstract

Two-dimensional unsteady flows of homogeneous density in estuaries and embayments can be described by hyperbolic, quasi-linear partial differential equations involving three dependent and three independent variables. A linear combination of these equations leads to a parametric equation of characteristic form, which consists of two parts: total differentiation along the bicharacteristics and partial differentiation in space. For its numerical solution, the specified-time-interval scheme has been used. The unknown, partial space-derivative terms can be eliminated first by suitable combinations of difference equations, converted from the corresponding differential forms and written along four selected bicharacteristics and a streamline. Other unknowns are thus made solvable from the known variables on the current time plane. The computation is carried to the second-order accuracy by using trapezoidal rule of integration. Means to handle complex boundary conditions are developed for practical application. Computer programs have been written and a mathematical model has been constructed for flow simulation. The favorable computer outputs suggest further exploration and development of model worthwhile. (Woodard-USGS)

Suggested Citation

Lai, C., 1977, Computer simulation of two-dimensional unsteady flows in estuaries and embayments by the method of characteristics : Basic theory and the formulation of the numerical method: U.S. Geological Survey Water-Resources Investigations Report 77-85, x, 72 p. , https://doi.org/10.3133/wri7785.

Publication type Report
Publication Subtype USGS Numbered Series
Title Computer simulation of two-dimensional unsteady flows in estuaries and embayments by the method of characteristics : Basic theory and the formulation of the numerical method
Series title Water-Resources Investigations Report
Series number 77-85
DOI 10.3133/wri7785
Year Published 1977
Language English
Publisher U.S. Geological Survey
Publisher location Reston, VA
Description x, 72 p.
Additional publication details