The shallow water equations in Lagrangian coordinates

DOI10.1016/J.JCP.2004.04.014zbMath1115.76313OpenAlexW2072179411MaRDI QIDQ1887754

Jodi L. Mead

Publication date: 22 November 2004

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://scholarworks.boisestate.edu/math_facpubs/18

zbMATH Keywords

JacobianLagrangian coordinatesRunge-KuttaFinite differencesShallow water equationsChebyshev pseudospectral

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Finite difference methods applied to problems in fluid mechanics (76M20) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06)

Related Items (2)

Inverse problems in free surface flows: a review ⋮ Partitioned vibration analysis of internal fluid-structure interaction problems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A mathematical model of pulsatile flows of microstretch fluids in circular tubes
• Stability of a Chebychev pseudospectral solution of the wave equation with absorbing boundaries
• Introduction to ``An arbitrary Lagrangian-Eulerian computing method for all flow speeds
• Spectral collocation time-domain modeling of diffractive optical elements
• Open boundary conditions for Lagrangian geophysical fluid dynamics
• A pseudospectral Chebychev method for the 2D wave equation with domain stretching and absorbing boundary conditions
• Accuracy, Resolution, and Stability Properties of a Modified Chebyshev Method
• A Practical Guide to Pseudospectral Methods

This page was built for publication: The shallow water equations in Lagrangian coordinates