A two-dimensional inviscid model of the gravity-current head by Lagrangian block simulation

Adduce C, Sciortino G, Proietti S (2012) Gravity currents produced by lock exchanges: experiments and simulations with a two-layer shallow-water model with entrainment. J Hydraul Eng ASCE 138(2):111–121

Britter RE, Simpson JE (1978) Experiments on the dynamics of gravity current head. J Fluid Mech 88(part 2):223–240

Cantero MI, Lee JR, Balachandar S, García MH (2007) On the front velocity of gravity currents. J Fluid Mech 586:1–39

Chu VH, Altai W (2001) Simulation of shallow transverse shear flow by generalized second moment method. J Hydraul Res 39(6):575–582

Chu VH, Altai W (2012) Advection and diffusion simulations using Lagrangian blocks. Comput Therm Sci 4(4):351–363

Chu VH, Altai W (2015) Lagrangian block simulation of buoyancy at turbulence interfaces. Comput Therm Sci 7(2):181–189

Cantero MI, Balachandar S, Garcıa MH, Bock D (2008) Turbulent structures in planar gravity currents and their influence on the flow dynamics. J Geophys Res 113(C08018):1–22

Heezen BC, Ewing M (1952) Turbidity currents and submarine slumps, and the 1929 Grand Banks earthquake. Am J Sci 250:849–873

Hartel C, Meiburg E, Necker F (2000) 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 Fluid Mech 418:189–212

Hartel C, Carlsson F, Thunblom M (2000) Analysis and direct numerical simulation of the flow at a gravity-current head. Part 2. The lobe-and-cleft instability. J Fluid Mech 418:213–229

Hsu SK, Kuo J, Lo CL, Tsai CH, Doo WB, Ku CY, Sibuet JC (2008) Turbidity currents, submarine landslides and the 2006 Pingtung earthquake off SW Taiwan. Terr Atmos Ocean Sci 19(6):762–772

Karimpour Ghannadi S, Chu VH (2015) High-order interpolation schemes for shear instability simulations. Int J Numer Methods Heat Fluid Flow 25(6):1340–1360

Lombardi V, Adduce C, Sciortino G, La Rocca M (2015) Gravity currents flowing upslope: laboratory experiments and shallow-water simulations. Phys Fluids 27:016602

Leonard BP (1995) Order of accuracy of QUICK. Appl Math Model 19:640–653

Marino BM, Thomas LP, Linden PF (2005) The front condition for gravity currents. J Fluid Mech 536:49–78

Monaghan JJ (2005) Smoothed particle hydrodynamics. Rep Prog Phys 68:1703–1759

Nogueira HIS, Adduce C, Alves E, Franca MJ (2013) Analysis of lock-exchange gravity currents over smooth and rough beds. J Hydraul Res 51(4):417–431

Nogueira H, Adduce C, Alves E, Franca M (2014) Dynamics of the head of gravity currents. Environ Fluid Mech 14:519–540

Ooi SK, Constantinescu G, Weber LJ (2007) 2D large-eddy simulation of lock-exchange gravity current flows at high Grashof numbers. J Hydraul Eng 133(9):1037–1047

Ooi SK, Constantinescu G, Weber L (2009) Numerical simulations of lock-exchange compositional gravity current. J Fluid Mech 635:361–388

Piper DJ, Cochonat P, Morrison ML (1999) The sequence of events around the epicentre of the 1929 Grand Banks earthquake: initiation of debris flows and turbidity current inferred from sidescan sonar. Sedimentology 46(1):79–97

Rottman JW, Simpson JE (1983) Gravity currents produced by instantaneous releases of a heavy fluid in a rectangular channel. J Fluid Mech 135:95–110

Shin JO, Dalziel SB, Linden PF (2004) Gravity currents produced by lock exchange. J Fluid Mech 521:1–34

Simpson JE (1982) Gravity currents in the laboratory, atmosphere and ocean. Annu Rev Fluid Mech 14:213–234

Thomas L, Dalziel S, Marino B (2003) The structure of the head of an inertial gravity current determined by particle-tracking velocimetry. Exp Fluids 34:708–716

Tan LW, Chu VH (2010) Wave runup simulations using Lagrangian blocks on Eulerian mesh. J Hydro-Environ Res 3(part 4):193–200

Tan L-W, Chu VH (2012) Two-dimensional simulation of shallow-water waves by Lagrangian block advection. Comput Fluids 65:35–43