TY - JOUR

T1 - Gravity currents with double stratification

T2 - A numerical and analytical investigation

AU - Goldman, Ron

AU - Ungarish, M.

AU - Yavneh, I.

PY - 2014/4

Y1 - 2014/4

N2 - We consider high-Reynolds-number Boussinesq gravity current and intrusion systems in which both the ambient and the propagating "current" are linearly stratified. The main focus is on a current of fixed volume released from a rectangular lock; the height ratio of the fluids H, the stratification parameter of the ambient S, and the internal stratification parameter of the current, σ, are quite general. We perform two-dimensional Navier-Stokes simulation and compare the results with those of a previously-published one-layer shallow-water model. The results provide insights into the behavior of the system and enhance the confidence in the approximate model while also revealing its limitations. The qualitative predictions of the model are confirmed, in particular: (1) there is an initial "slumping" stage of propagation with constant speed uN, after which uN decays with time; (2) for fixed H and S, the increase of σ causes a slower propagation of the current; (3) for some combinations of the parameters H, S, σ the fluid released from the lock lacks initially (or runs out quickly of) buoyancy "driving power" in the horizontal direction, and does not propagate like a gravity current. There is also a fair quantitative agreement between the predictions of the model and the simulations concerning the spread of the current.

AB - We consider high-Reynolds-number Boussinesq gravity current and intrusion systems in which both the ambient and the propagating "current" are linearly stratified. The main focus is on a current of fixed volume released from a rectangular lock; the height ratio of the fluids H, the stratification parameter of the ambient S, and the internal stratification parameter of the current, σ, are quite general. We perform two-dimensional Navier-Stokes simulation and compare the results with those of a previously-published one-layer shallow-water model. The results provide insights into the behavior of the system and enhance the confidence in the approximate model while also revealing its limitations. The qualitative predictions of the model are confirmed, in particular: (1) there is an initial "slumping" stage of propagation with constant speed uN, after which uN decays with time; (2) for fixed H and S, the increase of σ causes a slower propagation of the current; (3) for some combinations of the parameters H, S, σ the fluid released from the lock lacks initially (or runs out quickly of) buoyancy "driving power" in the horizontal direction, and does not propagate like a gravity current. There is also a fair quantitative agreement between the predictions of the model and the simulations concerning the spread of the current.

KW - Computational fluid dynamics

KW - Gravity current

KW - Intrusion

KW - Shallow water

KW - Stratified

UR - http://www.scopus.com/inward/record.url?scp=84896055160&partnerID=8YFLogxK

U2 - 10.1007/s10652-013-9288-1

DO - 10.1007/s10652-013-9288-1

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AN - SCOPUS:84896055160

SN - 1567-7419

VL - 14

SP - 471

EP - 499

JO - Environmental Fluid Mechanics

JF - Environmental Fluid Mechanics

IS - 2

ER -