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

By C. Härtel, Eckart Meiburg, F. Necker. Journal of Fluid Mechanics, 2000

479 citations recorded by the source corpus.

Subfields: Computational Mechanics, Earth-Surface Processes

View Paper: https://www.semanticscholar.org/paper/229adf7ae1b82d286d6f7b608c9ef6fe01a9ad0e

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Citations in the corpus

High-resolution simulations of particle-driven gravity currents (2002, methodology): “At this early stage of the flow development, the structure at the leading edge is still very similar to what is seen in the density-driven case (see Simpson, 1972; H€artel et al., 2000a,b).”
Mixing and dissipation in particle-driven gravity currents (2005, methodology): “The lobe-and-cleft structure is accompanied by an intense three-dimensionality in the flow (cf. Simpson 1972; Härtel et al. 2000b) which leads to strong spanwise variations in the concentration field at the leading edge.”
Numerical simulations of lock-exchange compositional gravity current (2009, methodology): “The set-up of the simulations (e.g. no-slip boundary condition at the top and bottom surfaces, Schmidt number) is chosen to be identical to that in the three-dimensional DNS study of Härtel et al. (2000b).”
Turbidity Currents and Their Deposits (2010, background): “Perhaps the first highly resolved direct numerical simulation (DNS) of compositional gravity currents was conducted by Härtel et al. (2000) for the lock-exchange configuration (see also Cantero et al. 2007, Ooi et al. 2007).”
Analysis and direct numerical simulation of the flow at a gravity-current head. Part 2. The lobe-and-cleft instability (2000, methodology): “The stability analysis concentrates on the foremost part of the front, and is based on direct numerical simulation data of two-dimensional lock-exchange flows which are described in the companion paper, Härtel et al. (2000).”
Gravity currents: a personal perspective (2006, background): “Note the similarity in concept between the slow loss of driving force due to seepage, considered here, and the loss of buoyancy due to slow particle fallout, considered in § 4. The general approach discussed there, as outlined in Harris, Hogg & Huppert (2001, 2002) , has not been applied to this ar”
On the front velocity of gravity currents (2007, methodology): “These choices for the computational domain are consistent with that of Härtel et al. (2000b).”
Advances in global linear instability analysis of nonparallel and three-dimensional flows (2003, result): “[75,76] used this approach in their studies of gravitycurrent head and obtained very good agreement with DNS results, as shown in Fig.”
An unstructured-grid, finite-volume, nonhydrostatic, parallel coastal ocean simulator (2006, methodology): “The depth is interpolated with data obtained from the MBARI Multibeam Survey CD-ROM (Hatcher et al., 1998).”
The propagation of a gravity current into a linearly stratified fluid (2002, methodology): “As the distance between the front and the end boundary was generally greater than ∆x = 3 the relative error in the front speed was well below 10−4 as determined by Härtel et al. (2000).”
Numerical simulation of tsunami waves generated by deformable submarine landslides (2013, methodology): “The model was first tested against an exchange flow using the parameters of direct numerical simulations (Härtel et al., 2000) and several nonhydrostatic studies (Fringer et al.”