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Three-dimensional compressible-incompressible turbulent flow simulation using a pressure-based algorithm

Javadi, K ; Sharif University of Technology | 2008

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  1. Type of Document: Article
  2. DOI: 10.1016/j.compfluid.2007.09.004
  3. Publisher: 2008
  4. Abstract:
  5. In this work, we extend a finite-volume pressure-based incompressible algorithm to solve three-dimensional compressible and incompressible turbulent flow regimes. To achieve a hybrid algorithm capable of solving either compressible or incompressible flows, the mass flux components instead of the primitive velocity components are chosen as the primary dependent variables in a SIMPLE-based algorithm. This choice warrants to reduce the nonlinearities arose in treating the system of conservative equations. The use of a new Favre-averaging like technique plays a key role to render this benefit. The developed formulations indicate that there is less demand to interpolate the fluxes at the cell faces, which is definitely a merit. To impose the hyperbolic behavior in compressible flow regimes, we introduce an artificial hyperbolicity in pressure correction equation. We choose k-ω turbulence model and incorporate the compressibility effect as a correction. It is shown that the above considerations grant to achieve a robust algorithm with great capabilities in solving both flow regimes with a reasonable range of Mach number applications. To evaluate the ability of the new pressure-based algorithm, three test cases are targeted. They are incompressible backward-facing step problem, compressible flow over a wide range of open to closed cavities, and compressible turbulent flow in a square duct. The current results indicate that there are reliable agreements with those of experiments and other numerical solutions in the entire range of investigation. © 2007 Elsevier Ltd. All rights reserved
  6. Keywords:
  7. Algorithms ; Mach number ; Turbulent flow ; Backward-facing step problem ; Favre-averaging like technique ; Flow simulation ; Compressible flow ; Incompressible flow ; Interpolation ; Mass transfer ; Turbulence models
  8. Source: Computers and Fluids ; Volume 37, Issue 6 , 2008 , Pages 747-766 ; 00457930 (ISSN)
  9. URL: https://www.sciencedirect.com/science/article/pii/S0045793007001740