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An improved progressive preconditioning method for steady non-cavitating and sheet-cavitating flows

Esfahanian, V ; Sharif University of Technology | 2012

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  1. Type of Document: Article
  2. DOI: 10.1002/fld.2502
  3. Publisher: 2012
  4. Abstract:
  5. An improved progressive preconditioning method for analyzing steady inviscid and laminar flows around fully wetted and sheet-cavitating hydrofoils is presented. The preconditioning matrix is adapted automatically from the pressure and/or velocity flow-field by a power-law relation. The cavitating calculations are based on a single fluid approach. In this approach, the liquid/vapour mixture is treated as a homogeneous fluid whose density is controlled by a barotropic state law. This physical model is integrated with a numerical resolution derived from the cell-centered Jameson's finite volume algorithm. The stabilization is achieved via the second-and fourth-order artificial dissipation scheme. Explicit four-step Runge-Kutta time integration is applied to achieve the steady-state condition. Results presented in the paper focus on the pressure distribution on hydrofoils wall, velocity profiles, lift and drag forces, length of sheet cavitation, and effect of the power-law preconditioning method on convergence speed. The results show satisfactory agreement with numerical and experimental works of others. The scheme has a progressive effect on the convergence speed. The results indicate that using the power-law preconditioner improves the convergence rate, significantly
  6. Keywords:
  7. Power-law preconditioner ; Artificial compressibility ; Convergence speed ; Finite volume ; Power-law ; Preconditioning method ; Sheet cavitation ; Convergence of numerical methods ; Drag ; Hydrofoils ; Laminar flow ; Runge Kutta methods ; Cavitation
  8. Source: International Journal for Numerical Methods in Fluids ; Volume 68, Issue 2 , December , 2012 , Pages 210-232 ; 02712091 (ISSN)
  9. URL: http://onlinelibrary.wiley.com/doi/10.1002/fld.2502/abstract