Computational Wave Dynamics Books

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Computational Wave Dynamics


Computational Wave Dynamics
  • Author : Hitoshi Gotoh
  • Publisher : World Scientific Publishing Company
  • Release : 2013-06-04
  • ISBN : 9789814449724
  • Language : En, Es, Fr & De
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This book provides a comprehensive description of the latest theory-supported numerical technologies, as well as scientific and engineering applications for water surface waves. Its contents are crafted to cater to a step-by-step learning of computational wave dynamics and ocean wave modeling. It provides a comprehensive description from underlying theories of free-surface flows, to practical computational applications for coastal and ocean engineering on the basis of computational fluid dynamics (CFD). The text may be used as a textbook for advanced undergraduate students and graduate students to understand the theoretical background of wave computations, and the recent progress of computational techniques for free-surface and interfacial flows, such as Volume of Fluid (VOF), Constrained Interpolation Profile (CIP), Lagrangian Particle (SPH, MPS), Distinct Element (DEM) and Euler-Lagrange Hybrid Methods. It is also suitable for researchers and engineers who wish to apply CFD techniques to ocean modeling and practical coastal problems involving sediment transport, wave-structure interaction and surf zone flows.

Computational Wave Dynamics


Computational Wave Dynamics
  • Author : Hitoshi Gotoh
  • Publisher :
  • Release : 2013
  • ISBN : 9814449717
  • Language : En, Es, Fr & De
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Computational Wave Dynamics


Computational Wave Dynamics
  • Author : Snehashish Chakraverty
  • Publisher : Academic Press
  • Release : 2020-10
  • ISBN : 0128195541
  • Language : En, Es, Fr & De
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Computational Wave Dynamics explains the analytical, semi-analytical and numerical methods for finding exact or approximate solutions to various linear and nonlinear differential equations governing wave-like flows. Waves exist almost everywhere in nature. Different types include water, sound, electromagnetic, seismic, and shock. This book explores the latest and most efficient linear and nonlinear differential equations that govern all waves with particular emphasis on water waves, helping the reader to incorporate a more profound numerical understanding of waves in a range of engineering solutions. Procedures, algorithms, and solutions are presented in a simple step-by-step style, helping readers with different backgrounds at various levels to engage with this topic. The breadth of different methods addressed in this one book creates a uniquely valuable resource for the comparison of equations, and acts as a very useful summary of recent research into computational wave dynamics.

Computational Wave Dynamics


Computational Wave Dynamics
  • Author : Snehashish Chakraverty
  • Publisher : Academic Press
  • Release : 2020-10-01
  • ISBN : 9780128227688
  • Language : En, Es, Fr & De
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Computational Wave Dynamics explains the analytical, semi-analytical, and numerical methods for finding exact or approximate solutions to various linear and nonlinear differential equations governing wave-like flows. The book explores the latest and most efficient linear and nonlinear differential equations that govern all waves with particular emphasis on water waves, helping the reader to incorporate a more profound numerical understanding of waves in a range of engineering solutions. Procedures, algorithms, and solutions are presented in a simple step-by-step style, helping readers with different backgrounds at various levels to engage with this topic. Waves exist almost everywhere in nature. Different types include water, sound, electromagnetic, seismic, and shock. The breadth of different methods addressed in this one book creates a uniquely valuable resource for the comparison of equations, and acts as a very useful summary of recent research into computational wave dynamics. Tackles ordinary and partial differential equations for wave dynamics, and provides approximation methods for solving them Uses easy to understand examples representing wave behavior to help introduce numerical solutions, as well as showing the theoretical justifications for such solutions Covers semi-implicit methods, the Kortweg-de-Vries equations, and many others in one resource Provides a uniquely valuable resource for the comparison of equations, and acts as a very useful summary of recent research into computational wave dynamics

Two Problems in Computational Wave Dynamics


Two Problems in Computational Wave Dynamics
  • Author : Kevin Carl Viner
  • Publisher :
  • Release : 2011
  • ISBN : OCLC:705001728
  • Language : En, Es, Fr & De
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Two problems in computational wave dynamics are considered: (i) the use of Klemp-Wilhelmson time splitting at large scales and (ii) analysis of wave-wave instabilities in nonhydrostatic and rotating mountain waves. The use of Klemp-Wilhelmson (KW) time splitting for large-scale and global modeling is assessed through a series of von Neumann accuracy and stability analyses. Two variations of the KW splitting are evaluated in particular: the original acousticmode splitting of Klemp and Wilhelmson (KW78) and a modified splitting due to Skamarock and Klemp (SK92) in which the buoyancy and vertical stratification terms are treated as fast-mode terms. The large-scale cases of interest are the problem of Rossby wave propagation on a resting background state and the classic baroclinic Eady problem. The results show that the original KW78 splitting is surprisingly inaccurate when applied to large-scale wave modes. The source of this inaccuracy is traced to the splitting of the hydrostatic balance terms between the small and large time steps. The errors in the KW78 splitting are shown to be largely absent from the SK92 scheme. Resonant wave-wave instability in rotating mountain waves is examined using a linear stability analysis based on steady-state solutions for flow over an isolated ridge. The analysis is performed over a parameter space spanned by the mountain height (Nh/U) and the Rossby number (U/fL). Steady solutions are found using a newly developed solver based on a nonlinear Newton iteration. Results from the steady solver show that the critical heights for wave overturning are smallest for the hydrostatic case and generally increase in the rotating wave regime. Results of the stability analyses show that the wave-wave instability exists at mountain heights even below the critical overturning values. The most unstable cases are found in the nonrotating regime while the range of unstable mountain heights between initial onset and critical overturning is largest for intermediate Rossby number.