Shallow moment equations -- comparing Legendre and Chebyshev basis functions

DOI10.1007/978-3-031-55264-9_39MaRDI QIDQ6613575

Unnamed Author, Manuel Torrilhon, Julia Kowalski

Publication date: 2 October 2024

zbMATH Keywords

shallow water equationsshallow flowmoment methodshallow moments

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Hydrology, hydrography, oceanography (86A05) Finite volume methods applied to problems in fluid mechanics (76M12) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Best approximation, Chebyshev systems (41A50) Navier-Stokes equations (35Q30) Free boundary problems for PDEs (35R35) PDEs in connection with geophysics (35Q86)

Cites Work

• A derivation of equations for wave propagation in water of variable depth
• Moment Approximations and Model Cascades for Shallow Flow
• Analysis and Numerical Simulation of Hyperbolic Shallow Water Moment Equations
• Shallow Water Moment Models for Bedload Transport Problems
• The Savage–Hutter avalanche model: how far can it be pushed?
• Shallow two-component gravity-driven flows with vertical variation
• Tsunami Simulations

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