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
54 Modeling shallow water ows using the DG method
4.2.2 Formulation of TVD slope limiters
As shown in Section 4.1, the high-order schemes suffer from spurious
oscillations in the vicinity of discontinuities and strong gradients. The
idea of a slope limiter is to reconstruct the variables with limited slopes
using neighboring elements. The data reconstruction method is based
on the monotonic upstream scheme for conservation laws (MUSCL)
(van Leer, 1979) and the piecewise parabolic method (PPM) (Colella and
Woodward, 1984).
The limiting process is applied after the unknowns are calculated
in every element in the computational domain. Followi
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