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Numerical Simulation of 2D Compressible Cavitation Flow Using Compact Finite-Difference Method

Irani, Mohammad | 2018

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  1. Type of Document: M.Sc. Thesis
  2. Language: Farsi
  3. Document No: 54845 (45)
  4. University: Sharif University of Technology
  5. Department: Aerospace Engineering
  6. Advisor(s): Hejranfar, Kazem
  7. Abstract:
  8. In the present study, the numerical simulation of 2D inviscid compressible cavitation flow is performed by using the compact finite-difference method. The problem formulation is based on the multiphase compressible Euler equations with the assumption of the homogeneous equilibrium model and the system of baseline differential equations is comprised of the continuity, momentum and energy equations for the vapor-liquid mixture. To complete the system of governing equations, the ideal gas relation is used for the vapor phase and the Tait relation is applied for the liquid phase, and therefore, the compressibility effects are considered for both the vapor and liquid phases. To analyze the flow around the relatively complicated geometries, a coordinate transformation is applied and the resulting system of governing equations in the generalized curvilinear coordinates is discretized using the fourth-order compact finite-difference scheme. For stabilizing the solution algorithm based on the compact finite-difference scheme, appropriate linear and non-linear filters are applied to reasonably capture the large gradients of the flow variables in the cavity interface. The simulation of the compressible inviscid cavitating flow is performed for the one- and two-dimensional problems in different conditions and the effects of different numerical parameters on the solution performance are studied. The present results are compared with the available results which show good agreement. It is indicated that the solution algorithm presented is accurate and efficient for predicting the compressible inviscid cavitating flows
  9. Keywords:
  10. Multiphase Euler Equations ; Compact Finite Difference Method ; Cavitation Flow ; Linear Filters ; Nonlinear Filters ; Homogeneous Equilibrium Model ; Compressible Inviscid Flow

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