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

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ADIBI T.

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Journal: FLUID MECHANICS AND AERODYNAMICS JOURNAL Year:2018 | Volume:7 | Issue:1 Page(s): 37-48

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Title

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

Author(s)

ADIBI T. | Issue Writer Certificate

Keywords

Three-Dimensional CharacteristicsQ1

Incompressible FlowQ2

Artificial CompressibilityQ2

Convergence HistoryQ1

Energy EquationQ1

Natural and Forced ConvectionsQ1

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.

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APA: Copy

ADIBI, T.. (2018). Three-dimensional Characteristic Based Scheme and Artificial Compressibility Factor on Its Accuracy and Convergence. FLUID MECHANICS AND AERODYNAMICS JOURNAL, 7(1 ), 37-48. SID. https://sid.ir/paper/245572/en

Vancouver: Copy

ADIBI T.. Three-dimensional Characteristic Based Scheme and Artificial Compressibility Factor on Its Accuracy and Convergence. FLUID MECHANICS AND AERODYNAMICS JOURNAL[Internet]. 2018;7(1 ):37-48. Available from: https://sid.ir/paper/245572/en

IEEE: Copy

T. ADIBI, “Three-dimensional Characteristic Based Scheme and Artificial Compressibility Factor on Its Accuracy and Convergence,” FLUID MECHANICS AND AERODYNAMICS JOURNAL, vol. 7, no. 1 , pp. 37–48, 2018, [Online]. Available: https://sid.ir/paper/245572/en

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