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Journals / Çukurova Üniversitesi Mühendislik-Mimarlik Fakültesi Dergisi / 2006 / Cilt: 21 - Sayı: 1

Analysis of convection-diffusion problems with finite volume method

Konveksiyon-difüzyon problemlerinin sonlu hacim yöntemi ile analizi

Eyup Gökmen FİLİNTE
Mustafa MAMAK
Pages
163–175
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

To obtain the solutions of problems, algorithms bases on finite volume method principles was formed at MATLAB computer program and the results of problems were found and examined for different cases.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In our daily life, examination of fluids and the improvement of applications dependent on fluids have earned importance.
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Key Findings & Data:One of the important things in problems of fluid movement, convection effect is taken into consideration.
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Conclusion & Impact:To obtain the solutions of problems, algorithms bases on finite volume method principles was formed at MATLAB computer program and the results of problems were found and examined for different cases.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

In our daily life, examination of fluids and the improvement of applications dependent on fluids have earned importance. One of the important things in problems of fluid movement, convection effect is taken into consideration. In the nature, event of diffusion is come true together with convection. For this reason new calculation methods that dealing with convection and diffusion together are needed. One of the calculation methods is finite volume method. In this thesis study, analysis of one dimensional convection-diffusion problems have been maken with central differencing scheme, upwind differencing scheme, hybrid differencing scheme and power law scheme which are elements of finite volume method using different variables. To obtain the solutions of problems, algorithms bases on finite volume method principles was formed at MATLAB computer program and the results of problems were found and examined for different cases.

Özet

Günlük hayatımızda akışkanların incelenmesi, akışkanlara bağlı uygulamaların gelişimi açısından önem kazanmıştır. Akışkan hareketinin önemli bir rol oynadığı problemlerde, konveksiyon etkisi dikkate alınmalıdır. Doğada konveksiyonun yanında daima difüzyon olayı gerçekleşir; bu nedenle konveksiyon ve difüzyonu beraber ele alan hesap yöntemlerine ihtiyaç duyulmaktadır. Bu yöntemlerden biri sonlu hacim yöntemidir. Bu tez çalışmasında; bir boyutlu konveksiyon-difüzyon problemlerinin sonlu hacim yöntemi merkezi fark yaklaşımı, menba fark yaklaşımı, hybrid fark yaklaşımı ve kuvvet kuralı yaklaşımına göre farklı değişkenler kullanılarak analizi yapılmıştır. Problemin çözümü için MATLAB programında sonlu hacim yönteminin esaslarına dayanan kodlar oluşturulmuş, farklı durumlar için çıkan sonuçlar program aracılığıyla elde edilmiş ve sonuçlar her durum için irdelenmiştir.

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Cite This Article

FİLİNTE, E. G., MAMAK, M. (2006). Analysis of convection-diffusion problems with finite volume method. Çukurova Üniversitesi Mühendislik-Mimarlik Fakültesi Dergisi, Cilt: 21 - Sayı: 1, 163–175. https://ajindex.com/articles/350415

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References (2)

  1. Versteeg,H.K. ve Malalasekera, W., "An introduction to computational fluid dynamics ", Prentice Hall, Malaysia, 1995. 2.Hirsch,C., "Numerical computation of internal and external flows Vol. 2", John Wiley & Sons, p. 493, Chichester, England, 1990. 3.Zhu,J.,"A low-diffusive and oscillation-free convective scheme", Commun. Appl. Numer. Methods, Vol. 7, p. 225, 1991. 4.Scarborough, J.B., "Numerical mathematical analysis 4th edn. ", Johns Hopkins University Press,
  2. Baltimore, MD, 1958. 5.Roache,P.J., "Computational fluid dynamics", Hermosa, Albuquerque, NM., 1976. 6.Spalding,D.B., "A novel finite-difference formulation for differential expressions involving both first and second derivatives", Int. J. Numer. Methods Eng., Vol. 4, p.551,1972.