Numerical solution of the quasilinear poisson equation in a nonuniform triangle mesh

Winslow, A.M.

doi:10.1016/0021-9991(66)90001-5

Cited by 474 publications

(57 citation statements)

References 6 publications

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“…34 In ALE techniques (and in Lagrangian techniques as well) the numerical mesh follows and adapts to the distorting domain (the liquid rivulet in our case), but grid points do not necessarily follow material points. In particular, we use the so-termed "Winslow smoothing method," 35 which specifies that the initial position,X(x,t), of mesh points currently situated atx, is governed by the equation∇…”

Section: Methodsmentioning

confidence: 99%

The influence of inertia and contact angle on the instability of partially wetting liquid strips: A numerical analysis study

et al. 2014

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The stability of a thread of fluid deposited on a flat solid substrate is studied numerically by means of the Finite Element Method in combination with an Arbitrary Lagrangian-Eulerian technique. A good agreement is observed when our results are compared with predictions of linear stability analysis obtained by other authors. Moreover, we also analysed the influence of inertia for different contact angles and found that inertia strongly affects the growth rate of the instability when contact angles are large. By contrast, the wave number of the fastest growing mode does not show important variations with inertia. The numerical technique allows us to follow the evolution of the free surface instability until comparatively late stages, where the filament begins to break into droplets. The rupture pattern observed for several cases shows that the number of principal droplets agrees reasonably well with an estimation based on the fastest growing modes. C 2014 AIP Publishing LLC.

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Section: Methodsmentioning

confidence: 99%

The influence of inertia and contact angle on the instability of partially wetting liquid strips: A numerical analysis study

et al. 2014

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“…We have performed simulations of the potential and field F mean near the exit surface using the program POISSON/SUPERFISH [18]. Equipotential lines from these calculations are shown in Fig.…”

Section: Calculations Of the Fields Inside The Capillariesmentioning

confidence: 99%

Simulation of guiding of multiply charged projectiles through insulating capillaries

et al. 2005

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Recent experiments have demonstrated that highly charged ions can be guided through insulating nanocapillaries along the direction of the capillary axis for a surprisingly wide range of injection angles. Even more surprisingly, the transmitted particles remain predominantly in their initial charge state, thus opening the pathway to the construction of novel ion-optical elements without electric feedthroughs. We present a theoretical treatment of this self-organized guiding process.We develop a classical trajectory transport theory that relates the microscopic charge-up with macroscopic material properties. Transmission coefficients, angular spread of transmitted particles, and discharge characteristics of the target are investigated. Partial agreement with experiment is found.

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“…The first approach was proposed in 1966 by Winslow [25] and the core of the method consisted of application of the theory of two-dimensional harmonic mappings to the problem. As was shown in 1978 by Mastin and Thompson [19], the mapping generated by the Winslow system has a non-vanishing Jacobian.…”

Section: Quasi-conformal Gridsmentioning

confidence: 99%

A Method for the 2-D Quasi-Isometric Regular Grid Generation

Chumakov

1998

Journal of Computational Physics

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Numerical solution of the quasilinear poisson equation in a nonuniform triangle mesh

Cited by 474 publications

References 6 publications

The influence of inertia and contact angle on the instability of partially wetting liquid strips: A numerical analysis study

The influence of inertia and contact angle on the instability of partially wetting liquid strips: A numerical analysis study

Simulation of guiding of multiply charged projectiles through insulating capillaries

A Method for the 2-D Quasi-Isometric Regular Grid Generation

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