Numerical Computation of Stratified Nearly Horizontal Flows

by John P. Grubert, Hydr. Engr.; Wimpey Lab. Ltd., Hayes, Middx., England,
Michael B. Abbott, Reader; Int. Courses in Hydr. and Sanitary Engrg., Delft, Netherlands; ad, Computational Hydr. Center, Copenhagen, Denmark,

Serial Information: Journal of the Hydraulics Division, 1972, Vol. 98, Issue 10, Pg. 1847-1865

Document Type: Journal Paper


The Euler equations of a two-layer fluid are solved using an implicit difference scheme for one-dimensional flow. The scheme has second order accuracy and is linearly nondissipative; all of its error is phase error. Data are presented for the scheme in a physically realistic way, to avoid nonlinear instabilities, and a control procedure for this purpose is described. The scheme is well behaved and reasonably fast in operation. It cannot, however, accommodate hydraulic jumps.

Subject Headings: Boundary element method | Computing in civil engineering | Advection | Stratified flow | Fluid flow | One-dimensional flow | Linear functions | Hydraulic jump

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