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
17Chapter two: General formulation of the discontinuous Galerkin method
Equation (2.34). The variable and coordinates can be interpolated within
an element by using Equation (2.35).
ξη=−ξ−η
ξη
ξη
(, )1
(, )
(, )
1
2
3
N
N
N
(2.34)
η
η
η
=
=
=
(, )
(, )
ˆ
(, )
1
3
1
3
1
3
xNx
yNy
UN
U
jj
j
jj
j
jj
j
(2.35)
2.3.3 Integral calculation with isoparametric mapping
Using the isoparametric mapping, the integration can be performed by
the method of variable substitution, also called coordinate transforma-
tion. The mass matrix in 1D is given by Equation (2.36). The correspond-
ing mass matrix in the local coordinate is given by Equation (2.37). The
Jacobian ...
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