Woods Hole Coastal and Marine Science Center

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Test Case 1

Channel Flow

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This case provides a fundamental check of the ability of a model to 1) represent a simple flow, 2) flux material from the bed, and 3) develop a suspended-sediment profile.

Figure showing the layout of test case 1, a straight flume.


The model domain is a long, narrow rectangular box.
Length l = 10,000 m
Width w = 1000 m
Depth h = 10 m
Flat bottom
Fresh water, T = 20° C
Salinity = ‰

Bottom Sediment

Single grain size on bottom
Size (D50) = 0.15 mm (fine sand)
Density ρs = 2650 kg/m³
Settling velocity = 0.001 m/s
Critical shear stress τc= 0.05 N/m²(0.5 dynes/cm²)
Fractional bed concentration (1-porosity) = 0.90
Infinite supply of sediment (no erosion, no armoring)


Inflow boundary condition only
No Rotation (f z0)
No wind
No heating/cooling

Boundary Conditions

Inflow maintained as steady flow, depth-mean flow <u> = 1 m/s
Outflow = open
Sides = walls with no fluxes, no friction
Bottom roughness z0 = 0.005
Sediment flux calculated by model
Surface = free surface, no fluxes

Output (ASCII files suitable for plotting)

Velocity profile at x = 8000 m
Suspended sediment profile at x = 8000 m
Time series of net rate of sediment flux from bed and/or concentration at specified levels

Physical Constants

Gravitational acceleration g = 9.81 m/s²
Von Karman's constant κ = 0.41
Water density ρw = 998 kg/m³
Dynamic viscosity (and minimum diffusivity) ν = 1e-6 m²/s


If a model incorporates physical constants that differ from these, and/or automatically calculates some values specified here, please specify the values used.


Solution to Test Case 1: Straight Flume

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These pages are for communication among a group of researchers studying experimental methods of modeling and visualizing natural systems using digital (numerical) techniques. The methods and models discussed are in preliminary, developmental, stages and may be incorrect. The pages will be changed or removed without warning. The U.S. Geological Survey makes no representation as to the accuracy, correctness, or utility of any data, model, model results, or technique associated with these pages.

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This page last modified on Monday, 05-Dec-2016 16:31:20 EST