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
27Chapter two: General formulation of the discontinuous Galerkin method
shown in Equation (2.79). In addition, it should preserve conservation
across discontinuities by fullling the condition given by Equation (2.80).
Last, the eigenvectors of
A
must be linearly independent.
===
()()
AU UUAU
LR
(2.79)
×()–( )(
–)
FU FU =A
UU
RL
RL
(2.80)
2.6 Time integration
Since the discontinuous Galerkin method is a local formulation, the
explicit time integration is preferred. The implicit time integration will
result in a global matrix, which breaks the local formulation. For problems
involving shock waves, the total variation diminishing (TVD) Runge–
Kutt ...
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