High Order Extensions of Roe Schemes for Two-Dimensional Nonconservative Hyperbolic Systems

This paper is concerned with the development of well-balanced high order Roe methods for two-dimensional nonconservative hyperbolic systems. In particular, we are interested in extending the methods introduced in (Castro et al., Math. Comput. 75:1103–1134, 2006 ) to the two-dimensional case. We also...

Full description

Saved in:
Bibliographic Details
Published in:Journal of scientific computing 2009-04, Vol.39 (1), p.67-114
Main Authors: Castro, M. J., Fernández-Nieto, E. D., Ferreiro, A. M., García-Rodríguez, J. A., Parés, C.
Format: Article
Language:English
Subjects:
Algorithms
Computation
Computational Mathematics and Numerical Analysis
Consistency
Hyperbolic systems
Mathematical and Computational Engineering
Mathematical and Computational Physics
Mathematics
Mathematics and Statistics
Shallow water
Theoretical
Two dimensional
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:This paper is concerned with the development of well-balanced high order Roe methods for two-dimensional nonconservative hyperbolic systems. In particular, we are interested in extending the methods introduced in (Castro et al., Math. Comput. 75:1103–1134, 2006 ) to the two-dimensional case. We also investigate the well-balance properties and the consistency of the resulting schemes. We focus in applications to one and two layer shallow water systems.
ISSN:0885-7474
1573-7691
DOI:10.1007/s10915-008-9250-4