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Modeling Shallow Water Flows Using the Discontinuous Galerkin Method
book

Modeling Shallow Water Flows Using the Discontinuous Galerkin Method

by Abdul A. Khan, Wencong Lai
March 2014
Intermediate to advanced content levelIntermediate to advanced
215 pages
5h 59m
English
CRC Press
Content preview from Modeling Shallow Water Flows Using the Discontinuous Galerkin Method
180 Modeling shallow water ows using the DG method
rectangular channel of unit width is 1000 m long with a dam located at 500 m.
The initial conditions for the ow depth, velocity, and pollutant concentra-
tion are given by Equation (9.20). For the idealized dam-break problem, exact
solutions for water depth and ow rate can be found (Henderson, 1966). The
pollutant concentration is transported as a shock. The speed of the concen-
tration shock, u
C
, is given by Equation (9.21) (Audusse and Bristeau, 2003),
where subscripts L and R denote values upstream and downstream of the
dam, respectively. The values of c
L
and c
R
are given by Equation (9
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Publisher Resources

ISBN: 9781482226010