Skip to Main 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
116 Modeling shallow water ows using the DG method
The second slope limiter (SL2) is adopted from Anastasiou and
Chan (1997). The variables are limited as given by Equation (6.20), where
U is the unlimited gradient given by Equation (6.15), r is a vector with
origin at the centroid of the element extending to any point within the
element, and ϕ is a chosen limiter given by Equation (6.21). To determine
the nodal values of the conserved variables, Equation (6.20) is evaluated
at the three nodes. The vector r for the node 1 will be
1
xx
n
,
1
yy
n
,
where
x
and
y
are the values at the center of the element. The param-
eters in Equation (6.21) are ex
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

Publisher Resources

ISBN: 9781482226010