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Journals / Gazi Üniversitesi Mühendislik Mimarlık Fakültesi Dergisi / 2013 / Cilt: 28 - Sayı: 2

A FINITE DIFFERENCE APPROACH FOR EXTENDED MILD SLOPE EQUATION

Genişletilmiş Yumuşak Eğim Eşitlikleri İçin Sonlu Farklar Yaklaşımı

Asu İNAN
Lale BALAS
Pages
401–408
Publication Date
2014-03-27
DOI
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AI Summary & Key Takeaways

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

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.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this study, the numerical model for the determination of transformations of waves while propagating has been presented.
📊
Key Findings & Data:Nonlinear wave celerity and group velocity were introduced in the solution to obtain results that are more accurate.
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Conclusion & Impact: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.
🔬Design:Modeling & Simulation
📍Scope:Comprehensive Sample
⚙️Variables:Sapma · Kırınım · Sayısal Model

Abstract

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.

Özet

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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Cite This Article

İNAN, A., BALAS, L. (2014). A FINITE DIFFERENCE APPROACH FOR EXTENDED MILD SLOPE EQUATION. Gazi Üniversitesi Mühendislik Mimarlık Fakültesi Dergisi, Cilt: 28 - Sayı: 2, 401–408. https://ajindex.com/articles/18625

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