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GENİŞLETİLMİŞ YUMUŞAK EĞİM EŞİTLİKLERİ İÇİN SONLU FARKLAR YAKLAŞIMI

A FINITE DIFFERENCE APPROACH FOR EXTENDED MILD SLOPE EQUATION

Journal Name:

  • Gazi Üniversitesi Mühendislik-Mimarlık Fakültesi Dergisi

Publication Year:

  • 2013

Key Words:

Keywords (Original Language):

Author NameUniversity of AuthorFaculty of Author
Abstract (2. Language): 
In this study, the numerical model for the determination of transformations of waves while propagating has been presented. This numerical model was developed to solve the extended mild slope equation that is applicable to the rapidly varying topographies. It includes the effects of wave refraction, diffraction, shoaling, reflection, harbor resonance, higher order bottom configurations; dissipative terms due to wave breaking and bottom friction. Nonlinear wave celerity and group velocity were introduced in the solution to obtain results that are more accurate. Mac Cormack Method and Point Gauss Seidel Method were applied together in the proposed new solution approach. The numerical model was tested on the semicircular shoaling area [1] and shoreparallel breakwater [2]. The comparison of the numerical model in the current study and the physical experiments that are present in the literature shows the reliability of the model for wave transformations and dissipations over uneven bottoms.
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Abstract (Original Language): 
Bu çalışmada dalgaların ilerlerken geçirdikleri değişimler irdelenmiştir. Hazırlanan sayısal modelde hızlı değişen topografyalarda geçerli olan genişletilmiş yumuşak eğim eşitlikleri çözülmüştür. Bu eşitlikler sapmayı, kırınımı, sığlaşmayı, yansımayı, liman rezonansını, yüksek dereceden taban etkilerini, dalga kırılması ve taban sürtünmesine bağlı sönümleyici terimleri içermektedir. Doğrusal olmayan dalga hızı ve grup hızı, daha hassas sonuçlar elde edebilmek için çözüme dâhil edilmiştir. Mac Cormack ve Noktasal Gauss Seidel yöntemleri bu yeni yaklaşımda bir arada kullanılmıştır. Sayısal model, yarı sığlaşma alanına [1] ve kıyıya paralel dalgakıran [2] fiziksel deneylerine uygulanmış, literatürdeki sayısal model ve fiziksel deney sonuçları ile karşılaştırılmıştır. Elde edilen sonuçlar, sayısal modelin düzensiz topograflarda dalga ilerlemesini başarıyla benzeştirdiğini ortaya koymuştur.
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REFERENCES

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