Numerical Simulation Cavitating Flows Using Compact Finite-difference Scheme

Shokri, Maryam | 2013

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  1. Type of Document: M.Sc. Thesis
  2. Language: Farsi
  3. Document No: 44527 (45)
  4. University: Sharif University of Technology
  5. Department: Aerospace Engineering
  6. Advisor(s): Hejranfar, Kazem
  7. Abstract:
  8. In the study, the simulation of two-dimensional cavitating flows is performed by applying a high-order accurate numerical method to the preconditioned, homogenous, multiphase Navier-Stokes equations. The baseline differential equations system is comprised of the mixture volume, mixture momentum and constituent volume fraction equations. A coordinate transformation is applied and the resulting system of governing equations in curvilinear coordinates is discretized using a fourth-order compact finite-difference scheme. The high-order accurate numerical scheme employing the suitable linear and nonlinear filters to account for density jumps across the cavity interface is shown to yield an effective method for solving the multiphase Navier-Stokes equations. A sensitivity study is also conducted to evaluate the effects of various numerical parameters such as the filter coefficients and grid size on the accuracy and performance of the solution. The computations are presented for a number of noncavitating and cavitating laminar flows over the NACA0012 hydrofoil and a two-dimensional cylinder for different conditions and the results are compared with the available numerical and experimental data. The solution procedure presented is shown to be accurate and efficient for predicting noncavitating and cavitating flows over two-dimensional geometries
  9. Keywords:
  10. Cavitation Flow ; Multiphase Navier-Stokes Equation ; Compact Finite Difference Method ; Linear Filters ; Nonlinear Filter

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