Abstract
The gravity wave-model equations are simplifications of the Saint-Venant equations by neglecting the convective term This neglectionis realistic as long as the gravity effect is much more significant than the convective effect in the system In this paper, we present the performance (behaviour) of the standard Lax-Wendroff finite volume method used to solve the gravity wave-model equations. This is the first work in discussing the aforementioned method’s performance in solving the gravity wave-model equations. We obtain that the standard Lax-Wendroff method is suitable for solving problems without discontinuity in the solution. When there is a discontinuity, the standard Lax-Wendroff method produces artificial oscillation in the solution.
Highlights
One of mathematical models for free-surface flows is the gravity wave-model equations [1]
The Saint-Venant equations consist of two partial differential equations, namely the mass equation and momentum equation [6,7,8]
We find that in comparison with the analytical solution, for this discontinuous problem, the Lax-Wendroff finite volume method produces artificial oscillation, no matter how small we take the time step value
Summary
- A staggered grid finite difference method for solving the gravity wave-model equations Catharina Mara Apriani and Sudi Mungkasi.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
