Holistic Approach to Modeling Non-Linear Internal Waves with a Three-Dimensional Nonhydrostatic Model

2007 ◽  
Author(s):  
Alberto D. Scotti ◽  
Michael Minion ◽  
Sorin Mitran
Keyword(s):  
Internal Waves ◽  
Three Dimensional ◽  
Holistic Approach ◽  
Nonhydrostatic Model ◽  
Non Linear

Characteristics of Non-Linear Internal Waves in a Three-Dimensional Numerical Wave Tank

2012 ◽  
Vol 212-213 ◽  
pp. 1123-1130 ◽  
Author(s):  
Lei Zhang ◽  
Ling Ling Wang ◽  
Zhen Zhen Yu ◽  
Yuan Bao Leng ◽  
Wan Zeng Song ◽  
...  
Keyword(s):  
Internal Waves ◽  
Kdv Equation ◽  
Three Dimensional ◽  
Hydrodynamic Characteristics ◽  
Numerical Wave Tank ◽  
Cfd Model ◽  
Wave Tank ◽  
Stratified Lakes ◽  
Non Linear ◽  
Numerical Wave

Internal waves have a significant impact on the hydrodynamic and stratification characteristics in the density stratified lakes and oceans. In order to reveal the features of internal waves, a three-dimensional numerical wave tank in regular terrain based on the computational fluid dynamics (CFD) model was established to simulate the processes of non-linear internal solitary waves propagation and evolution. The concept of a fraction volume of fluid (VOF) was employed to track the interface of the two-layer fluid. Comparisons were made between CFD model and weakly non-linear KdV theory, it was shown that the wave amplitude predictions by the CFD model agreed well with the KdV equation. On the other hand, the convergence flow and divergence flow at the water surface were captured successfully by the simulated spatial and temporal distributions of velocity. Some peculiar hydrodynamic characteristics, e. g. turbulence kinetic energy and its dissipation rate in the numerical wave tank were also identified and examined. Consequently, this paper provides a reliable method for understanding the phenomenon of internal waves in stratified water bodies.

Internal-inertia waves in a fluid of variable depth

1973 ◽  
Vol 73 (1) ◽  
pp. 205-213 ◽  
Author(s):  
W. D. McKee
Keyword(s):  
Exact Solutions ◽  
Surface Waves ◽  
Internal Waves ◽  
Vertical Velocity ◽  
General Problem ◽  
Three Dimensional ◽  
Variable Depth ◽  
Internal Inertia ◽  
Perturbation Pressure ◽  
Rotating Stratified Fluid

AbstractWaves in a rotating, stratified fluid of variable depth are considered. The perturbation pressure is used throughout as the dependent variable. This proves to have some advantages over the use of the vertical velocity. Some previous three-dimensional solutions for internal waves in a wedge are shown to be incorrect and the correct solutions presented. A WKB analysis is then performed for the general problem and the results compared with the exact solutions for a wedge. The WKB solution is also applied to long surface waves on a rotating ocean.

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