A CFD Tutorial in Julia: Introduction to Compressible Laminar Boundary-Layer Flows

A boundary-layer is a thin fluid layer near a solid surface, and viscous effects dominate it. The laminar boundary-layer calculations appear in many aerodynamics problems, including skin friction drag, flow separation, and aerodynamic heating. A student must understand the flow physics and the numer...

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Autores principales:	Furkan Oz, Kursat Kara
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	CFD boundary-layer compressible flow Julia MATLAB similarity solution Thermodynamics QC310.15-319 Descriptive and experimental mechanics QC120-168.85
Acceso en línea:	https://doaj.org/article/21ed8a7d9e9f4eaf8a9fcc20775c178d
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id	oai:doaj.org-article:21ed8a7d9e9f4eaf8a9fcc20775c178d
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spelling	oai:doaj.org-article:21ed8a7d9e9f4eaf8a9fcc20775c178d2021-11-25T17:31:40ZA CFD Tutorial in Julia: Introduction to Compressible Laminar Boundary-Layer Flows10.3390/fluids61104002311-5521https://doaj.org/article/21ed8a7d9e9f4eaf8a9fcc20775c178d2021-11-01T00:00:00Zhttps://www.mdpi.com/2311-5521/6/11/400https://doaj.org/toc/2311-5521A boundary-layer is a thin fluid layer near a solid surface, and viscous effects dominate it. The laminar boundary-layer calculations appear in many aerodynamics problems, including skin friction drag, flow separation, and aerodynamic heating. A student must understand the flow physics and the numerical implementation to conduct successful simulations in advanced undergraduate- and graduate-level fluid dynamics/aerodynamics courses. Numerical simulations require writing computer codes. Therefore, choosing a fast and user-friendly programming language is essential to reduce code development and simulation times. Julia is a new programming language that combines performance and productivity. The present study derived the compressible Blasius equations from Navier–Stokes equations and numerically solved the resulting equations using the Julia programming language. The fourth-order Runge–Kutta method is used for the numerical discretization, and Newton’s iteration method is employed to calculate the missing boundary condition. In addition, Burgers’, heat, and compressible Blasius equations are solved both in Julia and MATLAB. The runtime comparison showed that Julia with <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>f</mi><mi>o</mi><mi>r</mi></mrow></semantics></math></inline-formula> loops is 2.5 to 120 times faster than MATLAB. We also released the Julia codes on our GitHub page to shorten the learning curve for interested readers.Furkan OzKursat KaraMDPI AGarticleCFDboundary-layercompressible flowJuliaMATLABsimilarity solutionThermodynamicsQC310.15-319Descriptive and experimental mechanicsQC120-168.85ENFluids, Vol 6, Iss 400, p 400 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	CFD boundary-layer compressible flow Julia MATLAB similarity solution Thermodynamics QC310.15-319 Descriptive and experimental mechanics QC120-168.85
spellingShingle	CFD boundary-layer compressible flow Julia MATLAB similarity solution Thermodynamics QC310.15-319 Descriptive and experimental mechanics QC120-168.85 Furkan Oz Kursat Kara A CFD Tutorial in Julia: Introduction to Compressible Laminar Boundary-Layer Flows
description	A boundary-layer is a thin fluid layer near a solid surface, and viscous effects dominate it. The laminar boundary-layer calculations appear in many aerodynamics problems, including skin friction drag, flow separation, and aerodynamic heating. A student must understand the flow physics and the numerical implementation to conduct successful simulations in advanced undergraduate- and graduate-level fluid dynamics/aerodynamics courses. Numerical simulations require writing computer codes. Therefore, choosing a fast and user-friendly programming language is essential to reduce code development and simulation times. Julia is a new programming language that combines performance and productivity. The present study derived the compressible Blasius equations from Navier–Stokes equations and numerically solved the resulting equations using the Julia programming language. The fourth-order Runge–Kutta method is used for the numerical discretization, and Newton’s iteration method is employed to calculate the missing boundary condition. In addition, Burgers’, heat, and compressible Blasius equations are solved both in Julia and MATLAB. The runtime comparison showed that Julia with <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>f</mi><mi>o</mi><mi>r</mi></mrow></semantics></math></inline-formula> loops is 2.5 to 120 times faster than MATLAB. We also released the Julia codes on our GitHub page to shorten the learning curve for interested readers.
format	article
author	Furkan Oz Kursat Kara
author_facet	Furkan Oz Kursat Kara
author_sort	Furkan Oz
title	A CFD Tutorial in Julia: Introduction to Compressible Laminar Boundary-Layer Flows
title_short	A CFD Tutorial in Julia: Introduction to Compressible Laminar Boundary-Layer Flows
title_full	A CFD Tutorial in Julia: Introduction to Compressible Laminar Boundary-Layer Flows
title_fullStr	A CFD Tutorial in Julia: Introduction to Compressible Laminar Boundary-Layer Flows
title_full_unstemmed	A CFD Tutorial in Julia: Introduction to Compressible Laminar Boundary-Layer Flows
title_sort	cfd tutorial in julia: introduction to compressible laminar boundary-layer flows
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/21ed8a7d9e9f4eaf8a9fcc20775c178d
work_keys_str_mv	AT furkanoz acfdtutorialinjuliaintroductiontocompressiblelaminarboundarylayerflows AT kursatkara acfdtutorialinjuliaintroductiontocompressiblelaminarboundarylayerflows AT furkanoz cfdtutorialinjuliaintroductiontocompressiblelaminarboundarylayerflows AT kursatkara cfdtutorialinjuliaintroductiontocompressiblelaminarboundarylayerflows
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A CFD Tutorial in Julia: Introduction to Compressible Laminar Boundary-Layer Flows

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