Numerical investigation of transitional and weak turbulent flow past a sphere

By A. Tomboulides, S. Orszag. Journal of Fluid Mechanics, 2000

441 citations recorded by the source corpus.

Subfields: Computational Mechanics, Environmental Engineering

View Paper: https://www.semanticscholar.org/paper/2d6e4046f05531a28e5dbd407624d8bec39ae12c

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Citations in the corpus

Response of the wake of an isolated particle to an isotropic turbulent flow (2004, background): “TMS: Tsuji et al. (1984); WF: Wu & Faeth (1994a, b); PF: Parthasarathy & Faeth (1990); TMTKN: Tsuji et al. (1988); LE: Longmire & Eaton (1992); KFE: Kulick et al.”
From spheres to circular cylinders: the stability and flow structures of bluff ring wakes (2003, methodology): “The transition to asymmetry is through a regular bifurcation (i.e. steady to steady flow) of the m = 1 azimuthal mode (Tomboulides et al. 1993; Tomboulides & Orszag 2000).”
Wake instability of a fixed spheroidal bubble (2007, methodology): “The wake topology displayed in figure 3 has long been observed, both experimentally (Magarvey & Bishop 1961; Ormieres & Provansal 1999) and numerically (Tomboulides et al. 1993; Johnson & Patel 1999; Ghidersa & Dušek 2000; Tomboulides & Orszag 2000; Thompson, Leweke & Provansal 2001).”
Formulation of a Galerkin spectral element-fourier method for three-dimensional incompressible flows in cylindrical geometries (2004, methodology): “Besides the obvious specialisation required by the use of a non-standard expansion basis in some elements, these Jacobi polynomials require that some indeterminate axial terms in elliptic equations be evaluated through l’Hopital’s rule [7,23], further complicating treatment on the axis.”
The effect of Reynolds number on the dynamics and wakes of freely rising and falling spheres (2010, methodology): “…M. Horowitz and C. H. K. Williamson Studies of fixed spheres indicate that this periodic vortex shedding continues until a Reynolds number around 420–500 (Sakamoto & Haniu 1990; Lee 2000; Tomboulides & Orszag 2000; Kim, Choi & Choi 2005), after which the vortices are shed with varying orientation.”
A High-Order Unifying Discontinuous Formulation for the Navier-Stokes Equations on 3D Mixed Grids (2011, methodology): “For comparison, results from Gassner [10] using the 4th-order DG scheme on tetrahedral grid and from Tomboulides [38] and Johnson and Patel [19] obtained by incompressible simulation, are shown as well.”
Kinematics and dynamics of sphere wake transition (2001, result): “This is consistent with other numerical predictions described previously [e.g., Johnson & Patel (1999), Tomboulides et al. (1993), Tomboulides & Orszag (2000)] and slightly lower than the transition value of 277 predicted by the linear stability analysis of Natarajan & Acrivos (1993).”
Instabilities and transition of a sphere falling or ascending freely in a Newtonian fluid (2004, background): “These features are strikingly similar to that observed for Reynolds numbers exceeding 500 in the work of Tomboulides & Orszag (2000) for the flow past a fixed sphere.”
Wake-Induced Oscillatory Paths of Bodies Freely Rising or Falling in Fluids (2012, methodology): “…analysis of Natarajan & Acrivos (1993) and was succeeded by the DNS of Ghidersa & Dusek (2000), Johnson & Patel (1999), Thompson et al. (2001), and Tomboulides & Orszag (2000) and the detailed experiments of Ormieres & Provansal (1999), which altogether yielded a consistent scenario of the first…”
Fully resolved simulations of particle-turbulence interaction (2003, background): “…particles (see Mei et al. 1991; Kim et al. 1993, 1995, 1997; Chang & Maxey 1994, 1995; Magnaudet et al. 1995; Ghidersa & Dušek 2000; Mittal 2000; Tomboulides & Orszag 2000; Bagchi & Balachandar 2002 a–c), particles undergoing prescribed motion (see Mei 1994), and freely moving particles (see…”
An embedded-boundary formulation for large-eddy simulation of turbulent flows interacting with moving boundaries (2006, methodology): “The computational domain is chosen to the same as in [60]:”
TeraFLOP computing on a desktop PC with GPUs for 3D CFD (2008, neutral): “In numerical studies of the ﬂow around a sphere (Johnson and Patel 1999, Tomboulides and Orszag 2000), where the blockage ration was small, a value of Re ¼ 280 for the onset of vortex shedding was observed.”
LES and DES Investigations of Turbulent Flow over a Sphere at Re = 10,000 (2003, methodology): “Tomboulides and Orszag [ 41 ] reported values of the Strouhal numbers corresponding to the shedding and spiral modes very close to the range of experimentally measured values; the shedding frequency was St = 0.2, while the shear-layer frequency was around 3.5, within 10% of the experimental value me”