A Solution Adaptive Cartesian Grid Based Euler Solution for Compressible Flow Around BOEING TR-1322 Multi-element Airfoil
Abstract
Cartesian grids constitute a special branch in unstructured grid technology. They use specially designed algorithms to generate automatic grids for complex geometries and to simulate flows around such geometries regardless of the body shape and number of bodies. Cartesian grids are generated by constructing a quadtree based data structure for the purpose of connecting the Cartesian cells to each other. A “hands-off”, Cartesian grid generator based Euler solution called GeULER is implemented in object-oriented FORTRAN programming language. In this study, implementations of generated two-dimensional adaptive refinement/coarsening scheme codesare appended to the developed compressible flow solver by using special Cartesian-based algorithms, namely cut-cell adaptation and curvature adaptation around BOEING TR-1322 multi-element airfoil. A subsonic flow at free stream Mach number of 0.11 around the airfoil is tested to predict pressure distributions around it and Mach contours of the flow are depicted by using the developed GeULER code.
Keywords
Cartesian grid generation object-oriented FORTRAN programming solution adaptation Euler solution
References
- Marshall D. D., Ruffin S.M., “An embedded boundary Cartesian grid scheme for viscous flows using a new viscous wall boundary condition treatment” 42nd AIAA Aerospace Sciences Meeting and Exhibit , 5–8 January, Reno, Nevada, USA, 2004.
- Wild J., “Experimental investigation of Mach- and Reynolds-number dependencies of the stall behavior of 2-element and 3-element high-lift wing sections” 50th AIAA Aerospace Sciences Meeting including the New Horizons Forum and Aerospace Exposition, 09–12 January, Nashville, Tennessee, USA, 2012.
- Kara E., Kutlar A.İ., Aksel M.H., “A Quadtree based automatic adaptive Cartesian grid
- generator with applications on multi-element airfoils” 7
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- Kara E, “Development of a Navier Stokes solver for compressible flows on Cartesian grids with aerodynamics applications”, University of Gaziantep, Natural and Applied Sciences, Ph. D. thesis, 185 p, Gaziantep, 2015.
- Blazek J., “Computational fluid dynamics: Principles and applications” 2, Elsevier Ltd, 470 p, The Nederlands, 2005.
- Coirier W.J., Powell K.G., “A Cartesian, cell-based approach for adaptively-refined solutions of the Euler and Navier-Stokes equations” Surface Modeling, Grid Generation, and Related Issues in Computational Fluid Dynamic (CFD) Solutions, 9-11 May, 207–224, 1995.
- Çakmak M., “Development of a multi-grid accelerated Euler solver on adaptively refined two and three-dimensional Cartesian grids” Natural and Applied Sciences, Master thesis, 166 p, Ankara, 2009.
- Kidron Y., Mor-Yossef Y., Levy Y., “Turbulent flow predictions using a Cartesian flow solver” 19th AIAA Computational Fluid Dynamics Conference, 22–25 June, San Antonio, Texas, USA, 2009.
- Mavriplis D.J. “Algebraic turbulence modeling for unstructured and adaptive meshes” AIAA
- Journal, 29.12, 2086 –2093, 1991.
BOEING TR-1322 Çoklu-elemanlı Kanat Profili Çevresinde Sıkıştırılabilir Akış için Çözüm Uyarlamalı Kartezyen Ağ Temelli Euler Çözümü
Abstract
Kartezyen ağlar yapısal olmayan ağ teknolojisi içinde özel bir dal oluşturmaktadır. Karmaşık geometriler için otomatik ağ oluşturmak ve bu gibi geometriler etrafında akışın gövde şeklinden ve sayısından bağımsız şekilde benzetim kurmak için özellikle tasarlanmış algoritmalar kullanırlar. Kartezyen ağlar, Kartezyen hücrelerinin birbirlerine bağlanmalarını sağlamak için oluşturulan dörtlü ağaç temelli veri yapısı kullanarak üretilmiştir. GeULER isimli, kullanıcı müdahalesine gerek olmayan, nesne tabanlı FORTRAN programlama dilinde Kartezyen ağ üreticisi temelli Euler çözümü uygulanmıştır. Bu çalışmada, geliştirilen sıkıştırılabilir akış çözücüsüne, BOEING TR-1322 çoklu-elemanlı kanat profili çevresinde kesik hücre uyarlaması ve eğri uyarlaması gibi özel Kartezyen temelli algoritmalar kullanılarak iki-boyutlu uyarlanabilir geliştirme/genişleme şema kodları ilave edilmiştir. Kanat profili üzerinde, 0.11 serbest akım Mach sayısında, ses altı akışta kanat çevresindeki basınç dağılımının tahmini için test edilmiş ve geliştirilen GeULER kodu kullanılarak akışın Mach konturları tasvir edilmiştir
References
- Marshall D. D., Ruffin S.M., “An embedded boundary Cartesian grid scheme for viscous flows using a new viscous wall boundary condition treatment” 42nd AIAA Aerospace Sciences Meeting and Exhibit , 5–8 January, Reno, Nevada, USA, 2004.
- Wild J., “Experimental investigation of Mach- and Reynolds-number dependencies of the stall behavior of 2-element and 3-element high-lift wing sections” 50th AIAA Aerospace Sciences Meeting including the New Horizons Forum and Aerospace Exposition, 09–12 January, Nashville, Tennessee, USA, 2012.
- Kara E., Kutlar A.İ., Aksel M.H., “A Quadtree based automatic adaptive Cartesian grid
- generator with applications on multi-element airfoils” 7
- th Ankara International Aerospace
- Conference, 11-13 September, Abstract Book, 128 p, Ankara, 2013.
- Kara E, “Development of a Navier Stokes solver for compressible flows on Cartesian grids with aerodynamics applications”, University of Gaziantep, Natural and Applied Sciences, Ph. D. thesis, 185 p, Gaziantep, 2015.
- Blazek J., “Computational fluid dynamics: Principles and applications” 2, Elsevier Ltd, 470 p, The Nederlands, 2005.
- Coirier W.J., Powell K.G., “A Cartesian, cell-based approach for adaptively-refined solutions of the Euler and Navier-Stokes equations” Surface Modeling, Grid Generation, and Related Issues in Computational Fluid Dynamic (CFD) Solutions, 9-11 May, 207–224, 1995.
- Çakmak M., “Development of a multi-grid accelerated Euler solver on adaptively refined two and three-dimensional Cartesian grids” Natural and Applied Sciences, Master thesis, 166 p, Ankara, 2009.
- Kidron Y., Mor-Yossef Y., Levy Y., “Turbulent flow predictions using a Cartesian flow solver” 19th AIAA Computational Fluid Dynamics Conference, 22–25 June, San Antonio, Texas, USA, 2009.
- Mavriplis D.J. “Algebraic turbulence modeling for unstructured and adaptive meshes” AIAA
- Journal, 29.12, 2086 –2093, 1991.
Details
| Primary Language | English |
|---|---|
| Subjects | Engineering |
| Journal Section | Makine Mühendisliği |
| Authors | |
| Publication Date | July 28, 2015 |
| Published in Issue | Year 2015 |
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