Library Subscription: Guest
Begell Digital Portal Begell Digital Library eBooks Journals References & Proceedings Research Collections
International Journal for Multiscale Computational Engineering
IF: 1.016 5-Year IF: 1.194 SJR: 0.452 SNIP: 0.68 CiteScore™: 1.18

ISSN Print: 1543-1649
ISSN Online: 1940-4352

International Journal for Multiscale Computational Engineering

DOI: 10.1615/IntJMultCompEng.2018027042
pages 231-244

A STAGGERED METHOD FOR THE SHALLOW WATER EQUATIONS INVOLVING VARYING CHANNEL WIDTH AND TOPOGRAPHY

Sudi Mungkasi
Department of Mathematics, Faculty of Science and Technology, Sanata Dharma University, Yogyakarta, Indonesia
Ikha Magdalena
Department of Mathematics, Faculty of Mathematics and Natural Sciences, Bandung Institute of Technology, Bandung, Indonesia
Sri Redjeki Pudjaprasetya
Department of Mathematics, Faculty of Mathematics and Natural Sciences, Bandung Institute of Technology, Bandung, Indonesia
Leo Hari Wiryanto
Department of Mathematics, Faculty of Mathematics and Natural Sciences, Bandung Institute of Technology, Bandung, Indonesia
Stephen Gwyn Roberts
Department of Mathematics,Mathematical Sciences Institute, Australian National University, Canberra, Australia

ABSTRACT

We propose a staggered-grid finite volume method for solving the shallow water equations involving varying channel width and topography in one dimension. The method is an extension of an existing staggered conservative scheme for shallow water flows. One great advantage of the numerical method is that it does not need any Riemann solver in the flux calculation, so the numerical computation is cheap. We obtain that the method is able to solve a wide range of problems. The proposed method is well balanced and of the first order of accuracy.


Articles with similar content:

TEST-CASE NO 3: PROPAGATION OF PURE CAPILLARY STANDING WAVES (PA)
Multiphase Science and Technology, Vol.16, 2004, issue 1-3
E. Canot, Pierre Lubin
PARALLEL SOLUTION OF THE RADIATIVE TRANSFER EQUATION ON UNSTRUCTURED MESHES USING AN EXPLICIT SOLVER
ICHMT DIGITAL LIBRARY ONLINE, Vol.0, 2010, issue
G. Colomer, R. Borrell, Assensi Oliva
ACCURATE TEMPERATURE MEASUREMENTS OF A HEAT PIPE WITH PRESSURE CONTROL: DESIGN DESCRIPTIONS AND TEST RESULTS
Heat Pipe Science and Technology, An International Journal, Vol.6, 2015, issue 1-2
Daiying Deng, Wei Qu, Zhihu Xue, Siyuan Chen
Investigation of the Amplitudes of Wave Scattering by Resonance Bodies in Free Space and in Waveguides
Telecommunications and Radio Engineering, Vol.54, 2000, issue 5-6
Nikolai Antonovich Khizhnyak
An Adaptive Method of Complex Amplitudes in Spectral Simulations of the Electron Devices
Telecommunications and Radio Engineering, Vol.61, 2004, issue 7-12
A. V. Gritsunov