Finite Integration Method with Chebyshev Expansion for Shallow Water Equations over Variable Topography

Finite Integration Method with Chebyshev Expansion for Shallow Water Equations over Variable Topography

The shallow water equations (SWEs) model fluid flow in rivers, coasts, and tsunamis. Their nonlinearity challenges analytical solutions. We present a numerical algorithm combining the finite integration method with Chebyshev polynomial expansion (FIM-CPE) to solve one- and two-dimensional SWEs. The...

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Bibliographic Details
Main Authors: Ampol Duangpan, Ratinan Boonklurb, Lalita Apisornpanich, Phiraphat Sutthimat
Format: Article
Language:English
Published: MDPI AG 2025-08-01
Series:Mathematics
Subjects:
shallow water equations
Chebyshev polynomials
finite integration method
numerical simulation
dam break
fluid dynamics
Online Access:https://www.mdpi.com/2227-7390/13/15/2492
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