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We outline a scenario which traces a direct path from freely-floating nebula particles to the first 10-100km-sized bodies in the terrestrial planet region, producing planetesimals which have properties matching those of primitive meteorite parent bodies. We call this primary accretion. The scenario draws on elements of previous work, and introduces a new… (More)

- Patrick Loulou, Robert D. Moser, Brian J. Cantwell, Alan Wray, Karim Shariff
- 1997

A numerical method based on b-spline polynomials was developed to study incom-pressible flows in cylindrical geometries. A b-spline method has the advantages of possessing spectral accuracy and the flexibility of standard finite element methods. Using this method it was possible to ensure regularity of the solution near the origin, i.e. smoothness and… (More)

The force exerted on a targeting sequence by the electrical potential across the inner mitochondrial membrane is calculated on the basis of continuum electrostatics. The force is found to vary from 3.0 pN to 2.2 pN (per unit elementary charge) as the radius of the inner membrane pore (assumed aqueous) is varied from 6.5 to 12 A, its measured range. In the… (More)

- By R. Paoli, T. Poinsot, K. Shariff

The ability of semi-Lagrangian schemes to transport non-diffusive scalars in two-phase flow simulations employing an Eulerian formulation was tested. Conservation and posi-tivity of the schemes was ensured by using specially designed interpolants available in the literature. A simple improvement of the algorithm to minimize numerical diffusion was proposed.… (More)

It is known that the stable and unstable manifolds of dynamical systems theory provide a powerful tool for understanding Lagrangian aspects of time-periodic flows. In this work we consider two time-periodic vortex ring flows. The first is a vortex ring with an elliptical core. The manifolds provide information about entrainment and detrainment of… (More)

Three-dimensional numerical simulations are used to investigate the possibility of diminishing the strength of trailing vortices. Direct numerical simulation is first used to reproduce results of recent laboratory experiments on the shortwave cooperative instability for two counter-rotating vortices. The effect of perturbing the vortices by internal and… (More)

The electrostatic force exerted on a targeting sequence by the electrical potential across the inner mitochondrial membrane iscalculated and found to vary from 1.4 pN to 2.2 pN (per unit elementary charge) as the radius of the inner membrane pore (assumed aqueous) is varied from 12 to 6.5 _, itsmeasured range. Since the pore isnot very much wider than the… (More)

- By R. Paoli, K. Shariff, A. Shirgaonkar

A model for the condensation of a population of cloud droplets in a homogeneous turbulent flow is presented. The model consists of a set of Langevin (stochastic) equations for the droplet area, supersaturation, and temperature surrounding the droplets. These equations yield corresponding ordinary differential equations for various moments and correlations,… (More)

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