Numerical Simulations of Nonlinear Internal Waves in the South China Sea

Numerical Simulations of Nonlinear Internal Waves in the South China Sea
Author: Zhonghua Zhang
Publisher:
Total Pages:
Release: 2010
Genre:
ISBN:

Field observations and satellite imagery have demonstrated the ubiquitous nature of internal waves, and substantial evidence indicates that they play a significant role in nutrient transport, energy distribution and mixing throughout the world's oceans. As a result, internal waves have attracted a great deal of interest in the past few decades. However, because of the complex nature of internal waves, particularly in regard to their nonlinear and nonhydrostatic characteristics, basic properties of internal waves still lack satisfactory explanation, including how they are generated, how they propagate, and how they dissipate their energy in the open ocean and on continental margins. To obtain a better understanding of internal waves, we use SUNTANS, a three-dimensional, unstructured-grid, nonhydrostatic Navier-Stokes code, to simulate internal waves in the South China Sea (SCS), where extremely large-amplitude internal waves have been observed. To capture the nonlinear features of internal waves, a total variation diminishing method has been developed to accurately solve the three-dimensional scalar transport equation with unstructured grids in SUNTANS. Taking advantage of this scheme, we employ both two- and three-dimensional numerical simulations with idealized and real bathymetry and perform detailed analyses of internal wave energetics and dynamics to understand how they are generated in the SCS and how they evolve into trains of weakly nonlinear solitary-like waves. The simulation results indicate that nonlinear internal waves in the SCS are generated by strong barotropic flow over complex topography at a ridge on the eastern edge of the Luzon Strait, which connects the eastern boundary of the SCS to the Pacific Ocean. Idealized two-dimensional simulations show that the internal Froude number over the topography, or the ratio of the barotropic currents to the first-mode internal wave speed, can be the most important parameter governing the generation with a strong effect both on the amplitude of the generated waves and the phase in the barotropic tide at which internal waves are generated. For low-Froude number generation, linear first-mode waves are always generated at the end of the ebb tide, and increasing the Froude number causes waves to be generated earlier given the flow is subcritical. However, because the internal Froude number in the SCS is small, the three-dimensional simulations with real topography and stratification indicate that the excursion parameter, which is the ratio of the tidal excursion to the topographic scale, is the most important parameter governing the generation mechanism. With small tidal excursion parameters in the SCS, the well-known A and B waves are both likely generated by the internal tide mechanism. The A waves evolve from the formation of diurnal internal tidal beams at critical topography along the eastern ridge of the two ridge-system in the southern portion of the Luzon Strait. The B waves, on the other hand, are generated due to the formation of internal tides resulting from semidiurnal barotropic currents along the eastern ridge in the northern portion of the Luzon Strait. An analysis of the energetics indicates that half of the baroclinic or internal tidal energy dissipates locally over the ridge within the Strait, while the other half radiates away from the generation site and into the SCS basin. As the waves propagate across the SCS basin, they develop into trains of rank-ordered solitary-like internal waves under the effects of nonlinear steepening and nonhydrostatic dispersion. Because it employs the nonhydrostatic pressure, the SUNTANS model accurately captures these effects as well as the complex processes of wave diffraction, refraction, and wave-wave interaction on the continental shelf at the western edge of the SCS.

Numerical Simulation of Internal Wave Evolution Along the Asian Seas International Acoustics EXperiment Transect in the South China Sea

Numerical Simulation of Internal Wave Evolution Along the Asian Seas International Acoustics EXperiment Transect in the South China Sea
Author: Jennifer Ann-Louise Draher
Publisher:
Total Pages: 160
Release: 2014
Genre:
ISBN:

A numerical simulation of internal wave evolution in the South China Sea was created using SUNTANS. The model successfully demonstrated the formation and dissipation of internal waves at a tidal frequency from a fully barotropic tidal input. The model was unable to replicate the transition of a diurnal dominated flow in the deeper regions of the domain to a semidiurnal dominated flow in the shallow regions. Of the two scenarios, the model most accurately predicted velocities produced by a semidiurnal dominated flow with a fit of 1.15 and an index of agreement of 0.73 compared to the diurnal dominated flow with a fit of 0.67 and index of agreement of 0.61. Analysis of breaking dynamics shows that there is a high potential for wave breaking within the shelf region near a depth of 100 m. Critical and supercritical slopes contribute to increased bottom stresses and energy reflection, with areas of low Richardson numbers and high Froude numbers indicating a presence of turbulence and overturning. Spectral analysis reveals shoaling and sudden energy dissipation of the M2 tidal component. Energy is seen to transmit into secondary tidal frequencies as well as unidentified frequencies.

Advances in Numerical Simulation of Nonlinear Water Waves

Advances in Numerical Simulation of Nonlinear Water Waves
Author: Qingwei Ma
Publisher: World Scientific
Total Pages: 700
Release: 2010
Genre: Mathematics
ISBN: 9812836500

Ch. 1. Model for fully nonlinear ocean wave simulations derived using Fourier inversion of integral equations in 3D / J. Grue and D. Fructus -- ch. 2. Two-dimensional direct numerical simulations of the dynamics of rogue waves under wind action / J. Touboul and C. Kharif -- ch. 3. Progress in fully nonlinear potential flow modeling of 3D extreme ocean waves / S.T. Grilli [und weitere] -- ch. 4. Time domain simulation of nonlinear water waves using spectral methods / F. Bonnefoy [und weitere] -- ch. 5. QALE-FEM method and its application to the simulation of free-responses of floating bodies and overturning waves / Q.W. Ma and S. Yan -- ch. 6. Velocity calculation methods in finite element based MEL formulation / V. Sriram, S.A. Sannasiraj and V. Sundar -- ch. 7. High-order Boussinesq-type modelling of nonlinear wave phenomena in deep and shallow water / P.A. Madsen and D.R. Fuhrman -- ch. 8. Inter-comparisons of different forms of higher-order Boussinesq equations / Z.L. Zou, K.Z. Fang and Z.B. Liu -- ch. 9. Method of fundamental solutions for fully nonlinear water waves / D.-L. Young, N.-J. Wu and T.-K. Tsay -- ch. 10. Application of the finite volume method to the simulation of nonlinear water waves / D. Greaves -- ch. 11. Developments in multi-fluid finite volume free surface capturing method / D.M. Causon, C.G. Mingham and L. Qian -- ch. 12. Numerical computation methods for strongly nonlinear wave-body interactions / M. Kashiwagi, C. Hu and M. Sueyoshi -- ch. 13. Smoothed particle hydrodynamics for water waves / R.A. Dalrymple [und weitere] -- ch. 14. Modelling nonlinear water waves with RANS and LES SPH models / R. Issa [und weitere] -- ch. 15. MLPG_R method and Its application to various nonlinear water waves / Q.W. Ma -- ch. 16. Large Eddy simulation of the hydrodynamics generated by breaking waves / P. Lubin and J.-P. Caltagirone -- ch. 17. Recent advances in turbulence modeling for unsteady breaking waves / Q. Zhao and S.W. Armfield -- ch. 18. Freak waves and their interaction with ships and offshore structures / G.F. Clauss

Nonlinear Internal Waves in Lakes

Nonlinear Internal Waves in Lakes
Author: Kolumban Hutter
Publisher: Springer Science & Business Media
Total Pages: 292
Release: 2011-11-25
Genre: Science
ISBN: 3642234380

Internal wave dynamics in lakes (and oceans) is an important physical component of geophysical fluid mechanics of ‘quiescent’ water bodies of the Globe. The formation of internal waves requires seasonal stratification of the water bodies and generation by (primarily) wind forces. Because they propagate in basins of variable depth, a generated wave field often experiences transformation from large basin-wide scales to smaller scales. As long as this fission is hydrodynamically stable, nothing dramatic will happen. However, if vertical density gradients and shearing of the horizontal currents in the metalimnion combine to a Richardson number sufficiently small (

Regional Oceanography Of The South China Sea

Regional Oceanography Of The South China Sea
Author: Jianyu Hu
Publisher: World Scientific
Total Pages: 500
Release: 2020-06-24
Genre: Science
ISBN: 9811206929

This book aims to share newly obtained results and information on regional oceanography of the South China Sea by leading experts in fields such as water mass, circulation, mesoscale eddies, near-inertial motion, upwelling, mixing, continental shelf waves, internal waves and fronts. These comprehensive results can provide new insights on global and regional climate change.

Advances in SAR Remote Sensing of Oceans

Advances in SAR Remote Sensing of Oceans
Author: Xiaofeng Li
Publisher: CRC Press
Total Pages: 294
Release: 2018-10-12
Genre: Technology & Engineering
ISBN: 1351235788

The oceans cover approximately 71% of Earth’s surface, 90% of the biosphere and contains 97% of Earth’s water. Since the first launch of SEASAT satellite in 1978, an increasing number of SAR satellites have or will become available, such as the European Space Agency’s ERS-1/-2, ENVISAT, and Sentinel-1 series; the Canadian RADARSAT-1/-2 and the upcoming RADARSAT Constellation Mission series satellites; the Italian COSMO-SkyMed satellites, the German TERRASAR-X and TANDEM-X, and the Chinese GAOFEN-3 SAR, among others. Recently, European Space Agency has launched a new generation of SAR satellites, Sentinel-1A in 2014 and Sentinel-1B in 2016. These SAR satellites provide researchers with free and open SAR images necessary to carry out their research on the global oceans. The scope of Advances in SAR Remote Sensing of Oceans is to demonstrate the types of information that can be obtained from SAR images of the oceans, and the cutting-edge methods needed for analysing SAR images. Written by leading experts in the field, and divided into four sections, the book presents the basic principles of radar backscattering from the ocean surface; introduces the recent progresses in SAR remote sensing of dynamic coastal environment and management; discusses the state-of-the-art methods to monitor parameters or phenomena related to the dynamic ocean environment; and deals specifically with new techniques and findings of marine atmospheric boundary layer observations. Advances in SAR Remote Sensing of Oceans is a very comprehensive and up-to-date reference intended for use by graduate students, researchers, practitioners, and R&D engineers working in the vibrant field of oceans, interested to understand how SAR remote sensing can support oceanography research and applications.