Two-layer Gravity Currents with Topography

Two‐dimensional and time‐dependent gravity currents involving the initial release of a fixed volume of heavy fluid over a gradually sloping bottom and underlying a layer of lighter fluid are considered. The equations which describe the resulting two‐layer flow are derived from the Navier–Stokes equa...

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Bibliographic Details
Published in:	Studies in applied mathematics (Cambridge) Vol. 102; no. 3; pp. 221 - 266
Main Authors:	Montgomery, P. J., Moodie, T. B.
Format:	Journal Article
Language:	English
Published:	Boston, USA and Oxford, UK Blackwell Publishers Inc 01.04.1999 Blackwell
Subjects:	Exact sciences and technology Fluid dynamics Fundamental areas of phenomenology (including applications) Laminar flows Low-reynolds-number (creeping) flows Mathematical analysis Mathematics Numerical analysis Numerical analysis. Scientific computation Partial differential equations Partial differential equations, boundary value problems Partial differential equations, initial value problems and time-dependant initial-boundary value problems Physics Sciences and techniques of general use Initial boundary value problem Gravity current Equation of motion Initial value problem Well posed problem Jacobi matrix Froude number Finite element method Incompressible flow Conservation law Boundary value problem Navier Stokes equation Classification Relaxation method Stratified flow
ISSN:	0022-2526, 1467-9590
Online Access:	Get full text
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