Direct numerical simulation of double-diffusive gravity currents

被引:13
作者
Penney, Jared [1 ]
Stastna, Marek [1 ]
机构
[1] Univ Waterloo, Dept Appl Math, Waterloo, ON N2L 3G1, Canada
基金
加拿大自然科学与工程研究理事会;
关键词
SALT-FINGER CONVECTION; THERMOHALINE INTRUSIONS; CURRENT HEAD; DYNAMICS; TURBULENCE; OCEAN; MODEL; FLOW;
D O I
10.1063/1.4961045
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
This paper presents three-dimensional direct numerical simulations of laboratory-scale double-diffusive gravity currents. Flow is governed by the incompressible Navier-Stokes equations under the Boussinesq approximation, with salinity and temperature coupled to the equations of motion using a nonlinear approximation to the UNESCO equation of state. The effects of vertical boundary conditions and current volume are examined, with focus on flow pattern development, current propagation speed, three-dimensionalization, dissipation, and stirring and mixing. It was observed that no-slip boundaries cause the gravity current head to take the standard lobe-and-cleft shape and encourage both a greater degree and an earlier onset of three-dimensionalization when compared to what occurs in the case of a free-slip boundary. Additionally, numerical simulations with no-slip boundary conditions experience greater viscous dissipation, stirring, and mixing when compared to similar configurations using free-slip conditions. Published by AIP Publishing.
引用
收藏
页数:20
相关论文
共 36 条
[1]   GRAVITY CURRENTS AND RELATED PHENOMENA [J].
BENJAMIN, TB .
JOURNAL OF FLUID MECHANICS, 1968, 31 :209-&
[2]   EXPERIMENTS ON DYNAMICS OF A GRAVITY CURRENT HEAD [J].
BRITTER, RE ;
SIMPSON, JE .
JOURNAL OF FLUID MECHANICS, 1978, 88 (SEP) :223-&
[3]   A new approximation of the equation of state for seawater, suitable for numerical ocean models [J].
Brydon, D ;
Sun, S ;
Bleck, R .
JOURNAL OF GEOPHYSICAL RESEARCH-OCEANS, 1999, 104 (C1) :1537-1540
[4]   Sediment-laden fresh water above salt water: nonlinear simulations [J].
Burns, P. ;
Meiburg, E. .
JOURNAL OF FLUID MECHANICS, 2015, 762 :156-195
[5]   Simulations of a double-diffusive interface in the diffusive convection regime [J].
Carpenter, J. R. ;
Sommer, T. ;
Wueest, A. .
JOURNAL OF FLUID MECHANICS, 2012, 711 :411-436
[6]  
Childs H., 2012, HIGH PERFORMANCE VIS, P395, DOI DOI 10.1201/B12985
[7]   Analysis and direct numerical simulation of the flow at a gravity-current head.: Part 2.: The lobe-and-cleft instability [J].
Härtel, C ;
Carlsson, F ;
Thunblom, M .
JOURNAL OF FLUID MECHANICS, 2000, 418 :213-229
[8]   Analysis and direct numerical simulation of the flow at a gravity-current head.: Part 1.: Flow topology and front speed for slip and no-slip boundaries [J].
Härtel, C ;
Meiburg, E ;
Necker, F .
JOURNAL OF FLUID MECHANICS, 2000, 418 :189-212
[9]   Effective eddy viscosity in stratified turbulence [J].
Khani, Sina ;
Waite, Michael L. .
JOURNAL OF TURBULENCE, 2013, 14 (07) :49-70
[10]   Direct numerical simulation of salt sheets and turbulence in a double-diffusive shear layer [J].
Kimura, Satoshi ;
Smyth, William .
GEOPHYSICAL RESEARCH LETTERS, 2007, 34 (21)