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adibi, T. (2018). Three-dimensional Characteristic Based Scheme and Artificial Compressibility Factor on Its Accuracy and Convergence. Electronic and Cyber Defense, 7(1), 37-48.
tohid adibi. "Three-dimensional Characteristic Based Scheme and Artificial Compressibility Factor on Its Accuracy and Convergence". Electronic and Cyber Defense, 7, 1, 2018, 37-48.
adibi, T. (2018). 'Three-dimensional Characteristic Based Scheme and Artificial Compressibility Factor on Its Accuracy and Convergence', Electronic and Cyber Defense, 7(1), pp. 37-48.
adibi, T. Three-dimensional Characteristic Based Scheme and Artificial Compressibility Factor on Its Accuracy and Convergence. Electronic and Cyber Defense, 2018; 7(1): 37-48.

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

مکانیک سیالات و آیرودینامیک
Article 4, Volume 7, Issue 1 - Serial Number 21, June 2018, Pages 37-48    PDF (1.3 M)
Author
tohid adibi*
bonab
Receive Date: 04 September 2018,  Revise Date: 19 February 2019,  Accept Date: 19 September 2018 
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
Three-Dimensional Characteristics; Incompressible Flow; Artificial Compressibility; Convergence History; Energy Equation; Natural and Forced Convections
References
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