Four-Point Method of Characteristics

by Michael B. Abbott, Reader; Intl. Courses in Hydr. and Sanitary Engrg., Delft, Netherlands,
Adrianus Verwey, Asst.; Intl. Courses in Hydr. and Sanitary Engrg., Delft, Netherlands,


Serial Information: Journal of the Hydraulics Division, 1970, Vol. 96, Issue 12, Pg. 2549-2564


Document Type: Journal Paper

Errata: (See full record)

Abstract: Conservation laws in two independent variables have a four-point symmetry when expressed in normal or characteristic form. This symmetry is notated for nearly horizontal flows and translated into easily programmed numerical operators. Simple starting and boundary subroutines are described. The output is especially well adapted to digital-analog plotting techniques, with an accuracy superior to any current difference scheme. Bed slopes and resistance terms can be easily introduced, but the method becomes less viable for general stream flows, with changes of channel section.

Subject Headings: Symmetry | Streamflow | Advection | Numerical methods | Domain boundary | Slopes | Load and resistance factor design | Stream channels

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