A hybrid model for numerical wave forecasting and its implementation——Ⅰ. The wind wave model

The authors make an endeavor to explain why a new hybrid wave model is here proposed when several such models have already been in operation and the so- called third generation wave modej is proving attractive. This part of the paper is devoted to the wind wave model. Both deep and shallow water models have been developed, the former being actually a special case of the latter when water depth is great. The deep water model is exceptionally simple in form. Significant wave height is the only prognostic variable. In comparison with the usual methods to compute the energy input and dissipations empirically or by \"tuning\", the proposed model has the merit that the effects of all source terms are combined into one term which is computed through empirical growth relations for significant waves, these relations being, relatively speaking, easier and more reliable to obtain than those for the source terms in the spectral energy balance equation. The discrete part of the model and the implementation of the mode     

LAGFD-WAM numerical wave model-Ⅱ. Characteristics inlaid scheme and its application

In this paper the parameterizational approach of nonlinear source function and the implicit scheme of the model are discussed in detail. The matching problem is solved between time and space steps using the characteristics inlaid scheme with very strong physical meaning. The computational comparison in typical winds shows some improvements to the WAM model. That the hindcast results of the model for typhoon cases are in good agreement with real data illustrates its applicability to wave forecast and engineering study.     

A hybrid model for numerical wave forecasting and its implementation——Ⅱ. The discrete part and implementation of the model

In the first part of the present paper we have explained why we manage to formulate another wave prediction model when so many of them, including the so-called third generation model, have already been in use. The wind-wave part of the proposed model has also been given. Now we proceed to discuss the swell part,the implementation of the model as a prediction method,mumerical experiments done with ideal wind fields and hindcasts made in the Bohai Sea,in the neighboring seas adjacent to China and in the Northwest Pacific.     

Quadtree grid numerical model of nearshore wave–current interaction

This paper describes an adaptive quadtree-based 2DH wave–current interaction model for evaluating nearly horizontal wave-induced currents in the surf-zone. The model accounts for wave breaking, shoaling, refraction, diffraction, wave–current interaction, set-up and set-down, mixing processes (turbulent diffusion), bottom frictional effects, and movement of the land–water interface at the shoreline. The wave period- and depth-averaged governing equations, which conserve mass, momentum, energy and wave action, are discretised explicitly by means of an Adams–Bashforth second-order finite difference technique on adaptive hierarchical staggered quadtree grids. Grid adaptation is achieved through seeding points distributed according to flow criteria (e.g. local current gradients). The model is verified for nearshore circulation at a sinusoidal beach and nearshore currents at a multi-cusped beach. Reasonable agreement is obtained with experimental data from da Silva Lima [da Silva Lima, S.S.L., 1981. Wave-induced Nearshore Currents. PhD Thesis, Department of Civil Engineering, University of Liverpool] and Borthwick et al. [Borthwick, A.G.L., Foote, Y.L.M., Ridehalgh, A., 1997. Nearshore measurements at a cusped beach in the UK Coastal Research Facility, Coastal Dynamics '97, Plymouth, 953–962]. The modelling approach presented herein should be useful in simulating nearshore processes in complicated natural coastal domains. Of particular value is the local grid enrichment capability, which permits refined modelling of important localised flow behaviour such as rip currents and surf-zone circulation systems.     

Theoretical wind wave frequency spectra in deep water——Ⅰ. Form of spectrum

In this part ot the paper theoretical wind-wave spectra nave been derived oy (I) expressing the spectrum in series composed of exponential terms; (2) assuming that the spectrum satisfies a high order linear ordinary differential equation; (3) introducing proper parameters in the spectrum; and (4) making use of some known charateristics of wind-wave spectrum, for instance, the law governing the equilibrium range. The spectrum obtained contains the zero order moment of the spectrum m0, the peak frequency ω0 and the ratio R =ω/ω0 (ω being the mean zero-crossing frequency) as parameters. The shape of the nondimensional spectrum S(ω) = ω0S(ω)/m0(ω=ω/ω0) changes with R and theoretically reduces to a Dirac delta function δ(ω-1) when R = 1. A spectrum of simplified form is given for practical uses, in which R is replaced by a peakness factor P=S(1).     

A study on the numerical prediction method for the vertical thermal structure in the Bohai Sea and the Huanghai Sea-Ⅰ. One-dimensional numerical prediction model

In this paper,on the basis of the heat conduction equation without consideration of the advection and turbulence effects,one-dimensional model for describing surface sea temperature (T_s),bottom sea temperature (T_h) and the thickness of the upper homogeneous layer (h) is developed in terms of the dimensionless temperature θ_T and depth η and self-simulation function θ_T-f(η) of vertical temperature profile by means of historical temperature data.The results of trial prediction with our one-dimensional model on T_s,T_h,h,the thickness and gradient of thermocline are satisfactory to some extent.     

LAGFD-WAM海浪数值模式——Ⅰ:基本物理模型

LAGFD-WAM型海浪数值模式是一种第三代海浪数值模式,本文详细地介绍了该模式的物理模型,给出了能谱平衡方程、复杂特征线方程、各种源函数,以及物理空间和相空间的边界条件。     

CHGS method for numerical forecasting of typhoon waves——Ⅰ. Spectrum of waves in growing phase

Owing to the fact that the wind speed and direction of typhoon vary rapidly with time and space in typhoon fetch; the nearer to the typhoon eye the greater the wind velocity, and the shorter the wind fetch the smaller the wind time,as a result,the more difficult for the wind wave to fully grow. Hence.in typhoon wave numerical calculation it is impossible to use the model for a fully grown wave spectrum. Lately, the author et at. presented a CHGS method for numerical forecasting of typhoon waves, where a model for the growing wave spectrum was set up (see Eq. (2) in the text). The model involves a parameter indicating the growing degree of wind wave, i. e. ,the mean wave age β. When βvalue is small, the wave energy is chiefly concentrated near the peak frequency, so that the spectral peak gets high and steep; with the increase of β the spectral shape gradually gets lower and gentler; when β=Ⅰ, the wave fully grows, the growing spectrum becomes a fully grown P-M spectrum. The model also shows a spect     

A numerical model of mesoscale frontal instabilities and plankton dynamics — I. Model formulation and initial experiments

Previous observational and modelling studies of open ocean frontal regions have found large vertical velocities associated with instabilities on the frontal jet. A combined physical/ecosystem numerical model is used to investigate the impact of jet instability and the associated vertical motions on the local ecosystem. The evolution of the instability of a mesoscale frontal jet gives rise to vertical transport of nutrients into the euphotic zone and subduction of biota out of the euphotic zone. The upwelling of nutrients stimulates increases in primary production, with resulting increases in phytoplankton stocks. The reaction of the ecosystem is found to be dependent on the physical characteristics of the front, but the increase in primary production can be locally of the order of 100%, and of the order of 10% when averaged over the frontal region. The action of upwelling and subduction introduces spatial heterogeneity in primary production and plankton biomass. The heterogeneity is at a variety of length scales, from the order of a few kilometres for thin filaments and up to 50 km for coherent features. With increases in new production occurring over several degrees of latitude, frontal dynamics may make a significant contribution to the strength of the biological pump.     

Study on short-range numerical forecasting of ocean current in the East China Sea——Ⅰ Basic problems of ocean current forecasting and structure of the models

Ocean current forecasting is still in explorative stage of study. In the study, we face some problems that have not been met before. The solving of these problems has become fundamental premise for realizing the ocean current forecasting. In the present paper are discussed in depth the physical essence for such basic problems as the predictability of ocean current, the predictable currents, the dynamical basis for studying respectively the tidal current and circulation, the necessity of boundary model, the models on regions with different scales and their link. The foundations and plans to solve the problems are demonstrated. Finally a set of operational numerical forecasting system for ocean current is proposed.     

A model for prediction SST in limited region-Ⅱ. The model's physical equation

-The model's physical equation is used to parameterize some subgrid-scale processes and physical processes in the present numerical model. The transmission and attenuation of the solar energy in the ocean are considered. A simple diagnostic equation for the cloud fractions k proposed on the basis of the humidities at the surface and the mid-troposphere. The parameterized formulae of both entrainment and Ekman pumping are improved.In the numerical integration, the treatment on damping the inertial oscillations is emphasized. The initialization and the objective analysis of the data which are necessary for the operational prediction will be presented in another paper.Results of SST prediction and some numerical experiments are given here. The model is computationally stable and successful in modelling the behaviors of the drift current and the mixed layer physics, and the AMD (absolute mean deviations) ≤1. 2℃ , RC (correlation coefficients ) ≥85% for 3-day forecasting.     

A coupled ice-ocean model for the Bohai Sea Ⅰ. Study on model and parameter

According to the earlier international studies on the coupled ice-ocean model and the hydrology, meteorology, and ice features in the Bohai Sea, a coupled ice-ocean model is developed based on the National Marine Environment Forecast Center's (NMEFC) numerical forecasting ice model of the Bohai Sea and the Princeton ocean model (POM).In the coupled model, the transfer of momentum and heat between ocean and ice is two-way, and the change of ice thickness and concentration depends on heat budget not only at the surface and bottom of ice, but also at the surface of open water between ices. The dynamic and thermodynamic coupling process is expatiated emphatically. Some thermodynamic parameters are discussed as well.     

A coupled ice-ocean model for the Bohai Sea Ⅰ. Study on model and parameter

According to the earlier international studies on the coupled ice-ocean model and the hydrology, meteorology, and ice features in the Bohai Sea, a coupled ice-ocean model is developed based on the National Marine Environment Forecast Center‘ s (NMEFC) numerical forecasting ice model of the Bohai Sea and the Princeton ocean model (POM). In the coupled model, the transfer of momentum and heat between ocean and ice is two-way, and the change of ice thickness and concentration depends on heat budget not only at the surface and bottom of ice, but also at the surface of open water between ices. The dynamic and thermodynamic coupling process is expatiated emphatically. Some thermodynamic parameters are discussed as well.     

A three-dimensional ocean general circulation model for mesoscale eddies——Ⅰ. Meander simulation and linear growth rate

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Exact solution of entanglement of the double Jaynes—Cummings model without rotating wave approximation

This paper investigates the influences of atom--field coupling and dipole--dipole coupling for atoms on the entanglement between two atoms by means of concurrence. The results show that the sudden death occurs when the atom--field coupling is strong enough, and the collapse and the revival appear when the dipole--dipole interaction is strong enough.     

A study on the numerical prediction method for the vertical thermal structure in the Bohai Sea and the Huanghai Sea-I.One-dimensional numerical prediction model

In this paper, on the basis of the heat conduction equation without consideration of the advection and turbulence effects, one-dimensional model for describing surface sea temperature ( T1), bottom sea temperature ( Tt ) and the thickness of the upper homogeneous layer ( h ) is developed in terms of the dimensionless temperature θT and depth η and self-simulation function θT - f(η) of vertical temperature profile by means of historical temperature data.The results of trial prediction with our one-dimensional model on T, Th, h , the thickness and gradient of thermocline are satisfactory to some extent.     

Development of the POLCOMS–WAM current–wave model

The continuous research and improvement of ocean modelling helps to provide a more sustainable development of coastal and offshore regions. This paper focuses on ocean modelling at the NW Mediterranean using the POLCOMS–WAM model with new developments. The Stokes’ drift effect on currents has been included and the distribution of surface stress between waves and currents has also been considered. The system is evaluated in the NW Mediterranean and an evaluation of different forcing terms is performed. The temperature and salinity distributions control the main patterns of the Mediterranean circulation. Currents are typically small and therefore the modification of waves due to the effect of currents is minimal. However, the wave induced currents, mainly caused by a modified wind drag due to waves, produce changes that become an important source of mass transport. POLCOMS was able to reproduce the main Mediterranean features, its coupling with WAM can be a very useful tool for ocean and wave modelling in the Mediterranean and other shelf seas.     

A model for predicting SST in limited region-Ⅰ. The dynamical equations

Starting from physical oceanology characteristics of the China seas and for the short-term operational prediction of SST in the region,a two-dimensional (vertically integrated) primitive equation model,physically reasonable and operationally feasible,on the upper mixed layer is constructed and given here,which consists of three parts,the nondivergent residual current (the monthly mean field of the Kuroshio and its branches) equations,the dynamic forecasting equations,and the equation of model''s physics consisting of surface heat flux,coolings of the upper mixed layer due to the Ekman pumping and the entrainment by gale.This model may be used primarily to forecast the sea surface temperature,and to give estimations of the mean wind-driven current and the sea level,for a period of 3-5 d.In part 1 of this series,the physical conditions for establishing model equations are discussed first,that is,1.the existence of the upper well mixed layer in the region; 2.the distinguishability of currents 3.the splitting of thermodynamical equation.The equations of nondivergent residual current,and the dynamic forecasting equations with initial values and boundary conditions are also discussed.