Skip to Content
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
46 Modeling shallow water ows using the DG method
that the choice of parameters has a great inuence on the performance of
the numerical scheme.
As opposed to Equation (3.57), a mixed form given by Equation (3.56)
can be used. The boundary ux functions as given by Equation (3.65) are
used. Numerical results show that a
11
< 0 is required to achieve a stable,
convergent, and unique solution in this case. The resulting integrated
equation is given by Equation (3.68).
−−∆∆
−∆
=
++
++
+
−−
++
0.5 /3 /6
0.5 /6 /3
0 0.5
0 0.5
/2
/2
12
12
11 12
11 12
1
2
1
2
11
22
21 11 1
12 11 2
axx
axx
aa
aa
C
C
q
q
bC
bC
bq aC Qx
bq aC Qx
(3.68)
In the application of the discontinuous Galerkin method for elliptic
problems, the choices of the mi ...
Become an O’Reilly member and get unlimited access to this title plus top books and audiobooks from O’Reilly and nearly 200 top publishers, thousands of courses curated by job role, 150+ live events each month,
and much more.
Start your free trial

You might also like

Modeling of Microscale Transport in Biological Processes

Modeling of Microscale Transport in Biological Processes

Sid M. Becker
Point-Based Graphics

Point-Based Graphics

Markus Gross, Hanspeter Pfister

Publisher Resources

ISBN: 9781482226010