A Deterministic Vortex Sheet Method for Boundary Layer Flow

Bernard, Peter S.

doi:10.1006/jcph.1995.1051

Cited by 34 publications

(19 citation statements)

References 16 publications

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“…This is most directly smoothed (see [15]) by introducing an additive smoothing parameter, δ II , into the denominator of the integrand of (17). This approach will serve our present purpose, although a more rigorous treatment of smoothing is available for this m II case (see [4]), which is achieved by convolving the integrand of (17) with a smoothing kernel [3]. The logarithmic edge singularity of (19) is a result of the partitioning of the vortex sheet (an equivalent smooth contiguous sheet does not admit this singularity).…”

Section: Singularitymentioning

confidence: 99%

A Representation of Bounded Viscous Flow Based on Hodge Decomposition of Wall Impulse

Summers

2000

Journal of Computational Physics

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Section: Singularitymentioning

confidence: 99%

A Representation of Bounded Viscous Flow Based on Hodge Decomposition of Wall Impulse

Summers

2000

Journal of Computational Physics

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“…This represents a stochastic model of Browian motion (a random walk model). There are deterministic methods of modelling such diffusion, and these are numerically more accurate (see, for example, Fishelov, 1990;Bernard, 1995).…”

Section: Splitting Strategymentioning

confidence: 99%

Impulse exchange at the surface of the ocean and the fractal dimension of drifter trajectories

Summers

2002

Nonlin. Processes Geophys.

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Abstract. An impulse-based model is developed to represent a coupling between turbulent flow in the atmosphere and turbulent flow in the ocean. In particular, it is argued that the atmosphere flowing horizontally over the ocean surface generates a velocity fluctuation field in the latter's near-surface flow. The mechanism for this can be understood kinematically in terms of an exchange of tangentially-oriented fluid impulse at the air-sea interface. We represent this exchange numerically through the creation of Lagrangian elements of impulse density. An indication of the efficacy of such a model would lie in its ability to predict the observed fractal dimension of lateral trajectories of submerged floats set adrift in the ocean. To this end, we examine the geometry of lateral tracer-paths determined from the present model.

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“…However, proposition 5 can be extended to the case of impulse fields which are initially orthogonal to level sets of a given function but vary along these level sets.…”

Section: Orthogonal Surfacesmentioning

confidence: 99%

Impulse-based methods for fluid flow

Cortez

1995

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A Deterministic Vortex Sheet Method for Boundary Layer Flow

Cited by 34 publications

References 16 publications

A Representation of Bounded Viscous Flow Based on Hodge Decomposition of Wall Impulse

A Representation of Bounded Viscous Flow Based on Hodge Decomposition of Wall Impulse

Impulse exchange at the surface of the ocean and the fractal dimension of drifter trajectories

Impulse-based methods for fluid flow

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