Self-similar solutions of the shallow-water equations representing gravity currents with variable inflow
From MaRDI portal
Publication:3761897
DOI10.1017/S0022112086000678zbMath0623.76008MaRDI QIDQ3761897
James W. Rottman, R. E. Grundy
Publication date: 1986
Published in: Journal of Fluid Mechanics (Search for Journal in Brave)
boundary conditionsgravity currentstwo-dimensional problemphase-plane methodaxisymmetric shallow-water equationsexistence of similarity solutions
Multiphase and multicomponent flows (76T99) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Basic methods in fluid mechanics (76M99)
Related Items
Conservation laws for one-layer shallow water wave systems ⋮ Lie group analysis of gravity currents ⋮ Existence and features of similarity solutions for non-Boussinesq gravity currents ⋮ Self-similar gravity currents with variable inflow revisited: plane currents ⋮ Viscous flows down an inclined plane from point and line sources ⋮ Viscous spreading of non-Newtonian gravity currents on a plane ⋮ The similarity forms and invariant solutions of two-layer shallow-water equations ⋮ Theoretical-group analysis of the inviscid gravity currents ⋮ High-fidelity simulations of gravity currents using a high-order finite-difference spectral vanishing viscosity approach ⋮ Self-similar viscous gravity currents: phase-plane formalism