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Numerical Simulation of Incompressible Turbulent Flow with the Artificial Compressibility-Based Incompressible Smoothed Particle Hydrodynamics

Talebi, Mahyar | 2019

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  1. Type of Document: M.Sc. Thesis
  2. Language: Farsi
  3. Document No: 52465 (45)
  4. University: Sharif University of Technology
  5. Department: Aerospace Engineering
  6. Advisor(s): Hejranfar, Kazem
  7. Abstract:
  8. In the present study, an incompressible smoothed particle hydrodynamics based on the artificial compressibility method is applied for simulating the incompressible turbulent flows. The Reynolds-averaged incompressible Navier–Stokes equations using the artificial compressibility method in the Eulerian reference frame are written in the Lagrangian reference frame to provide an appropriate incompressible SPH algorithm for the turbulent flow computations. Here, the k-L_m turbulence model, which is a simplified k-ϵ turbulence model, is used and formulated in the Lagrangian reference frame. The SPH formulation implemented here is based on an implicit dual-time stepping scheme to be capable of time-accurate analysis of unsteady turbulent flows. The advantage of the artificial compressibility-based incompressible SPH (ACISPH) method applied here over the weakly compressible SPH (WCSPH) for the turbulent flow computations is that the ACISPH formulation does not involve any approximate enforcement of the incompressibility condition that usually causes to use a large magnitude speed of sound implying a small time step in the computations. It should be pointed out that the turbulent flow computations have been performed by applying the WCSPH method in the literature, however, the ACISHP has not been used for this aim yet. To validate the results, two test cases are considered herein that are the incompressible turbulent flows in a 2-D simple channel and a dam break problem. The present results obtained for these two cases are compared with the other SPH results which show good agreement
  9. Keywords:
  10. Smoothed Particle Hydrodynamics (SPH) ; Artificial Compressibity Method ; Incompressible Turbulent Flow ; Numerical Simulation ; Turbulence Simulation

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