ANALYTICAL AND NUMERICAL SOLUTIONS OF THE SHALLOW WATER EQUATIONS FOR 2D ROTATIONAL FLOWS

DOI10.1142/S0218202504003672zbMath1149.76613OpenAlexW2079406985MaRDI QIDQ4661832

V. M. Teshukov, Alexander Chesnokov

Publication date: 30 March 2005

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218202504003672

zbMATH Keywords

conservation lawssurface wavesNonlinear integrodifferential equations

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Finite volume methods applied to problems in fluid mechanics (76M12) General theory of rotating fluids (76U05) First-order nonlinear hyperbolic equations (35L60) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06)

Related Items (11)

Interaction of shear flows of an ideal incompressible fluid in a channel ⋮ Modified shallow water equations which admit the propagation of discontinuous waves over a dry bed ⋮ Propagation of nonlinear perturbations in a quasineutral collisionless plasma ⋮ Multi-dimensional shear shallow water flows: problems and solutions ⋮ Weak Discontinuities in Solutions of Long‐Wave Equations for Viscous Flow ⋮ Formation and evolution of roll waves in a shallow free surface flow of a power-law fluid down an inclined plane ⋮ Perturbation Propagation in a Thin Layer of a Viscosity-Stratified Fluid ⋮ Sub- and supercritical horizontal-shear flows in an open channel of variable cross-section ⋮ Is Landau Damping Possible in a Shear Fluid Flow? ⋮ Stability Of Shear Shallow Water Flows with Free Surface ⋮ The Russo-Smereka kinetic equation: conservation laws, reductions and numerical solutions

Cites Work

• Non-oscillatory central differencing for hyperbolic conservation laws
• Uniformly high order accurate essentially non-oscillatory schemes. III
• Hyperbolic systems of conservation laws II
• Long Eddies in Sheared Flows
• Exact, self-similar, time-dependent free surface flows under gravity
• Simple waves on shear flows: similarity solutions
• Some Properties of Long Nonlinear Waves

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