Discrete Vortex Model of Jet‐Forced Flow in Circular Reservoir

Borthwick, Alistair G.L.; Chaplin, J.R.; Ali, Kamil H. M.

doi:10.1061/(asce)0733-9429(1988)114:3(283)

J. Hydraul. Eng.

1988

DOI: 10.1061/(asce)0733-9429(1988)114:3(283)

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Discrete Vortex Model of Jet‐Forced Flow in Circular Reservoir

Alistair G.L. Borthwick¹,

J.R. Chaplin²,

Kamil H. M. Ali³

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Cited by 2 publications

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Numerical simulation of jet‐forced flow in a circular reservoir using discrete and random vortex methods

Borthwick

Barber

1992

Numerical Methods in Fluids

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SUMMARYThis paper describes a BiotSavart discrete vortex model for simulating the flow patterns which occur when a single high-velocity inflow jet is used to stir the fluid within a circular container. The first stage of the model consists of conformally mapping the circular perimeter of the container onto a rectangle by means of a Schwarz-Christoffel transformation. A potential flow solution is then obtained for the flow inside the rectangle and this is transformed to give the potential flow inside the circle. In the second stage of the simulation, discrete vortices are added at the inlet of the physical system in order to model the inflow shear layers. Velocity components resulting from the discrete vortices and their images in the walls of the cylinder are superimposed on the uniform potential flow solution. The positions of the vortices are updated using a Lagrangian tracking procedure. Viscous effects are incorporated through the use of random walks. From the results it is shown that the discrete vortex method does predict qualitatively the important features of jetforced reservoir flow.

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Numerical simulation of jet‐forced flow in a circular reservoir using discrete and random vortex methods

Borthwick

Barber

1992

Numerical Methods in Fluids

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Circulation and mixing in a stratified reservoir

Ali

Jaefarzadeh

1989

Journal of Hydraulic Research

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Discrete Vortex Model of Jet‐Forced Flow in Circular Reservoir

Cited by 2 publications

References 10 publications

Numerical simulation of jet‐forced flow in a circular reservoir using discrete and random vortex methods

Numerical simulation of jet‐forced flow in a circular reservoir using discrete and random vortex methods

Circulation and mixing in a stratified reservoir

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