An improved multislope MUSCL scheme for solving shallow water equations on unstructured grids


Type
Article
Change log
Authors
Özgen-Xian, I 
Liang, D 
Wang, T 
Hinkelmann, R 
Abstract

This paper describes an improved vector manipulation multislope monotone upstream-centred scheme for conservation laws (MUSCL) reconstruction for solving the shallow water equations on unstructured grids. This improved MUSCL reconstruction method includes a bigger stencil for the interpolation and saves time for determining the geometric relations compared to the original vector manipulation method, so it is computationally more efficient and straightforward to implement. Four examples involving an analytical solution, laboratory experiments and field-scale measurements are used to test the performance of the proposed scheme. It has been proved that the proposed scheme can provide comparable accuracy and higher efficiency compared to the original vector manipulation method. With the increase of the number of cells, the advantage of the proposed scheme becomes more apparent.

Description
Keywords
Finite volume method, MUSCL scheme, Shallow water, Total variation diminishing, Unstructured grids
Journal Title
Computers and Mathematics with Applications
Conference Name
Journal ISSN
0898-1221
1873-7668
Volume Title
77
Publisher
Elsevier BV
Sponsorship
Engineering and Physical Sciences Research Council (EP/I019308/1)
Engineering and Physical Sciences Research Council (EP/K000314/1)
Engineering and Physical Sciences Research Council (EP/L010917/1)
Engineering and Physical Sciences Research Council (EP/N021614/1)