An adaptive artificial viscosity for the displacement shallow water wave equation

DOI10.1007/s10483-022-2815-7zbMath1496.76034OpenAlexW4220987269MaRDI QIDQ2167686

Yuelin Zhao, Keqi Ye, Feng Wu, Wan-xie Zhong

Publication date: 25 August 2022

Published in: AMM. Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10483-022-2815-7

zbMATH Keywords

finite element methodFourier theoryspurious oscillationsmall perturbation analysismultiple shock waves

Mathematics Subject Classification ID

Shock waves and blast waves in fluid mechanics (76L05) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) Finite element methods applied to problems in fluid mechanics (76M10)

Cites Work

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• Constrained Hamilton variational principle for shallow water problems and Zu-class symplectic algorithm
• Exact periodic solitary wave solutions for the \((2+1)\)-dimensional Boussinesq equation
• Balancing source terms and flux gradients in high-resolution Godunov methods: The quasi-steady wave-propagation algorithm
• A characteristic particle method for the Saint Venant equations
• A data-driven high order sub-cell artificial viscosity for the discontinuous Galerkin spectral element method
• High order well-balanced finite difference WENO interpolation-based schemes for shallow water equations
• A new fifth-order finite difference well-balanced multi-resolution WENO scheme for solving shallow water equations
• On displacement shallow water wave equation and symplectic solution
• A relaxation-projection method for compressible flows. II: Artificial heat exchanges for multiphase shocks
• Rational and Periodic Wave Solutions of Two-Dimensional Boussinesq Equation
• Zero mass error using unsteady wetting–drying conditions in shallow flows over dry irregular topography
• A Method for the Numerical Calculation of Hydrodynamic Shocks
• High order finite volume WENO schemes for the shallow water flows through channels with irregular geometry