Gravity Currents Produced by Sudden Release of a Fixed Volume of Heavy Fluid

DOI10.1002/sapm1996964359zbMath0852.76093OpenAlexW2246694587MaRDI QIDQ4886539

S. J. D. D'Alessio, Gordon E. Swaters, J. P. Pascal, T. Bryant Moodie

Publication date: 15 August 1996

Published in: Studies in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/sapm1996964359

zbMATH Keywords

scalingalgebraic relationsweakly nonlinear analysisrectangular channelhorizontal bottomweak stratificationtwo-by-two system in conservation form

Mathematics Subject Classification ID

Reaction effects in flows (76V05) Jets and cavities, cavitation, free-streamline theory, water-entry problems, airfoil and hydrofoil theory, sloshing (76B10)

Related Items (10)

Lie group analysis of gravity currents ⋮ Thermally enhanced gravity driven flows ⋮ Weakly Nonhydrostatic Effects in Compositionally-Driven Gravity Flows ⋮ Self‐Similarity and the Evaluation of Long‐Time Nonhydrostatic Effects in Compositionally Driven Gravity Flows in Deep Surroundings ⋮ Thermally Enhanced Motions of Variable‐Inflow Surface Gravity‐Driven Flows ⋮ The similarity forms and invariant solutions of two-layer shallow-water equations ⋮ Stratified two-layer thermally-enhanced gravity-driven flows ⋮ Thermohaline considerations in surface gravity driven flows ⋮ On the slumping of high Reynolds number gravity currents in two-dimensional and axisymmetric configurations ⋮ Gravity currents

Cites Work

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• Flux difference splitting for hyperbolic systems of conservation laws with source terms
• A detached shock calculation by second-order finite differences
• The approach to self-similarity of the solutions of the shallow-water equations representing gravity-current releases
• The Signaling Problem in Nonlinear Hyperbolic Wave Theory
• Inflows, density currents, and fronts
• Scalar Conservation Laws and Spatially Dependent Flux Functions
• Numerical Study of Density-Current Surges
• Gravity currents and related phenomena
• The engineer grapples with nonlinear problems

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