2013
DOI: 10.1002/fld.3869
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Three‐dimensional vortex simulation of unsteady flow in hydraulic turbines

Abstract: SUMMARY On the basis of the Helmholtz decomposition, a grid‐free numerical scheme is provided for the solution of unsteady flow in hydraulic turbines. The Lagrangian vortex method is utilized to evaluate the convection and stretch of the vorticity, and the BEM is used to solve the Neumann problem to define the potential flow. The no‐slip boundary condition is satisfied by generating vortex sticks at the solid surface. A semi‐analytical regularization technique is applied to evaluate the singular boundary surfa… Show more

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Cited by 3 publications
(2 citation statements)
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“…The pressure variation as in (11) can be adequate compared with the parabola aspect of the vortices obtained by other researchers, using numerical methods, as in [5,6,7].…”
Section: Fig3 the Parameters Of The Depression Zonementioning
confidence: 98%
“…The pressure variation as in (11) can be adequate compared with the parabola aspect of the vortices obtained by other researchers, using numerical methods, as in [5,6,7].…”
Section: Fig3 the Parameters Of The Depression Zonementioning
confidence: 98%
“…The velocity components are characterized by making use of a fundamental solution procedure, namely the Biot-Savart law [13][14][15]. (2) The Cauchy-Riemann approach.…”
Section: Introductionmentioning
confidence: 99%