Three-dimensional Characteristic Based Scheme and Artificial Compressibility Factor on Its Accuracy and Convergence

Author

bonab

Abstract

In this paper, the characteristics of three-dimensional incompressible flows were obtained along with artificial compressibility of Chorin. At first, compatibility equations and pseudo characteristics for three-dimensional flows were derived. Results showed that pseudo sound speed in incompressible flow is a function of compressibility parameter and the direction. The speed of sound is constant in compressible flows. By numerical solution of characteristics,               four-dimensional pseudo hyper Mach cone was obtained. A code in MATLAB has been written to obtain numerical solution. In two-dimensional flows, one has three-dimensional Mach cone, instead of four dimensional one. This cross section is circle for compressible flows. In this work, natural and forced convections, were simulated in different dimensionless numbers: Reynolds, Prandtl, and Nusselt numbers. For these simulations, a new code has been written in FORTRAN. In the last part of this research, the influence of compressible parameter on accuracy and convergence was surveyed.

Keywords

References

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History

  • Receive Date: 04 September 2018
  • Revise Date: 19 February 2019
  • Accept Date: 19 September 2018
  • Publish Date: 22 June 2018

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