A Computational Method for the Time-Fractional Navier-Stokes Equation

İnci ÇİLİNGİR SÜNGÜ, (Ondokuz Mayıs Üniversitesi)
Hüseyin DEMİR (Ondokuz Mayıs Üniversitesi)
Cumhuriyet Science Journal
4 0
Yıl: 2018 Cilt: 39 Sayı: 33 Sayfa Aralığı: 900 - 911 Metin Dili: İngilizce DOI: 10.17776/csj.384509 İndeks Tarihi: 22-01-2020

A Computational Method for the Time-Fractional Navier-Stokes Equation

Öz:
In this study, Navier-Stokes equations with fractional derivate are solved according to time variable. To solve these equations, hybrid generalized differential transformation and finite difference methods are used in various subdomains. The aim of this hybridization is to combine the stability of the difference method and simplicity of the differential transformation method in use. It has been observed that the computational intensity of complex calculations is reduced and also discontinuity due to initial conditions can be overcome when the size increased in the study. The convergence of the time-dependent series solution is ensured by multi-time-stepping method. This study has shown that the hybridization method is effective, reliable and easy to apply for solving such type of equations.
Anahtar Kelime:

Zaman Değişkeninde Kesirli Türev İçeren Navier-Stokes Denklemlerinin Sayısal Çözümü

Öz:
Bu çalışmada zaman değişkenine göre kesirli türev içeren Navier-Stokes denklemleri çözülmüştür. Denklemlerin çözümünde genelleştirilmiş diferansiyel dönüşüm ve sonlu fark metotları beraber farklı alt aralıklara bölünerek çok adımlı olarak kullanılmıştır. Bu melezleme ile sonlu fark metodunun kararlılık özelliği ve diferansiyel dönüşüm metodunun uygulama kolaylığı özelliklerinin birleştirilmesi amaçlanmıştır. Ele alınan örneklerde karmaşık hesaplamaların getirdiği işlem yükünün azaldığı ve çok boyutlu problemlerde ise başlangıç koşulu nedeniyle oluşan süreksizliğin aşılabildiği görülmüştür. Zamana bağlı seri çözümünün yakınsaklığı ise çok zaman adımlı metot kullanılarak sağlanmıştır. Yapılan çalışma melezleme metodunun bu tür denklemlerin çözümünde etkili, güvenilir ve uygulanması kolay olduğunu göstermiştir.
Anahtar Kelime:

Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık
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APA ÇİLİNGİR SÜNGÜ İ, DEMIR H (2018). A Computational Method for the Time-Fractional Navier-Stokes Equation. , 900 - 911. 10.17776/csj.384509
Chicago ÇİLİNGİR SÜNGÜ İNCİ,DEMIR HÜSEYIN A Computational Method for the Time-Fractional Navier-Stokes Equation. (2018): 900 - 911. 10.17776/csj.384509
MLA ÇİLİNGİR SÜNGÜ İNCİ,DEMIR HÜSEYIN A Computational Method for the Time-Fractional Navier-Stokes Equation. , 2018, ss.900 - 911. 10.17776/csj.384509
AMA ÇİLİNGİR SÜNGÜ İ,DEMIR H A Computational Method for the Time-Fractional Navier-Stokes Equation. . 2018; 900 - 911. 10.17776/csj.384509
Vancouver ÇİLİNGİR SÜNGÜ İ,DEMIR H A Computational Method for the Time-Fractional Navier-Stokes Equation. . 2018; 900 - 911. 10.17776/csj.384509
IEEE ÇİLİNGİR SÜNGÜ İ,DEMIR H "A Computational Method for the Time-Fractional Navier-Stokes Equation." , ss.900 - 911, 2018. 10.17776/csj.384509
ISNAD ÇİLİNGİR SÜNGÜ, İNCİ - DEMIR, HÜSEYIN. "A Computational Method for the Time-Fractional Navier-Stokes Equation". (2018), 900-911. https://doi.org/10.17776/csj.384509
APA ÇİLİNGİR SÜNGÜ İ, DEMIR H (2018). A Computational Method for the Time-Fractional Navier-Stokes Equation. Cumhuriyet Science Journal, 39(33), 900 - 911. 10.17776/csj.384509
Chicago ÇİLİNGİR SÜNGÜ İNCİ,DEMIR HÜSEYIN A Computational Method for the Time-Fractional Navier-Stokes Equation. Cumhuriyet Science Journal 39, no.33 (2018): 900 - 911. 10.17776/csj.384509
MLA ÇİLİNGİR SÜNGÜ İNCİ,DEMIR HÜSEYIN A Computational Method for the Time-Fractional Navier-Stokes Equation. Cumhuriyet Science Journal, vol.39, no.33, 2018, ss.900 - 911. 10.17776/csj.384509
AMA ÇİLİNGİR SÜNGÜ İ,DEMIR H A Computational Method for the Time-Fractional Navier-Stokes Equation. Cumhuriyet Science Journal. 2018; 39(33): 900 - 911. 10.17776/csj.384509
Vancouver ÇİLİNGİR SÜNGÜ İ,DEMIR H A Computational Method for the Time-Fractional Navier-Stokes Equation. Cumhuriyet Science Journal. 2018; 39(33): 900 - 911. 10.17776/csj.384509
IEEE ÇİLİNGİR SÜNGÜ İ,DEMIR H "A Computational Method for the Time-Fractional Navier-Stokes Equation." Cumhuriyet Science Journal, 39, ss.900 - 911, 2018. 10.17776/csj.384509
ISNAD ÇİLİNGİR SÜNGÜ, İNCİ - DEMIR, HÜSEYIN. "A Computational Method for the Time-Fractional Navier-Stokes Equation". Cumhuriyet Science Journal 39/33 (2018), 900-911. https://doi.org/10.17776/csj.384509
Sayfa Oluşturulma Tarihi
24-04-2024 18:46

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