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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
36 Modeling shallow water ows using the DG method
===
===
(2)2
(3)
1
33
uux
uu
xu
(3.25)
−−
−−
=−
1/22/3 1/6
2/302/3
1/62/3 1/2
13/6
2/3
1/6
1
2
3
u
u
u
(3.26)
=
2
2.5
3
1
2
3
u
u
u
(3.27)
3.2 1D Linear convection
In this section, the discontinuous Galerkin method is applied to model
the one-dimensional linear convection problem as given by Equation
(3.28). The one-dimensional domain is x [0, 1], and is divided into Ne
linear elements with Ne + 1 nodes
()
=<⋅⋅⋅< =
+
01
12 1
xx x
Ne
. For demon-
stration purpose, only linear and uniform size elements are used in this
example (Figure3.3). However, the element ...
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Publisher Resources

ISBN: 9781482226010