An integral contravariant formulation of the fully non-linear Boussinesq equations

In this paper we propose an integral form of the fully non-linear Boussinesq equations in contravariant formulation, in which Christoffel symbols are avoided, in order to simulate wave transformation phenomena, wave breaking and nearshore currents in computational domains representing the complex morphology of real coastal regions. Following the approach proposed by Chen (2006), the motion equations retain the term related to the approximation to the second order of the vertical vorticity. A new Upwind Weighted Essentially Non-Oscillatory scheme for the solution of the fully non-linear Boussinesq equations on generalised curvilinear coordinate systems is proposed. The equations are rearranged in order to solve them by a high resolution hybrid finite volume–finite difference scheme. The conservative part of the above-mentioned equations, consisting of the convective terms and the terms related to the free surface elevation, is discretised by a high-order shock-capturing finite volume scheme in which an exact Riemann solver is involved; dispersive terms and the term related to the approximation to the second order of the vertical vorticity are discretised by a cell-centred finite difference scheme. The shock-capturing method makes it possible to intrinsically model the wave breaking, therefore no additional terms are needed to take into account the breaking related energy dissipation in the surf zone. The model is verified against several benchmark tests, and the results are compared with experimental, theoretical and alternative numerical solutions.     

海洋环流模式中不同近似假设下的海表高度

Boussinesq近似是现代海洋环流模式中经常采用的假设，但随着海洋模式的不断发展完善以及气候研究应用的需要，有必要估算Boussinesq近似造成的模式误差。分别利用一个非Boussinesq近似的海洋模式与另一个结构相同且采用Boussinesq近似的模式计算海表高度，并同时利用模式预报的温度、盐度资料计算了比容异常高度。分析结果显示，这3种不同定义的海表高度无论空间结构，还是时间演变，都基本类似，尤其在热带海区最接近，差值≤1cm。Boussinesq近似意味着在模式中以体积守恒代替质量守恒，通常的做法是对其进行简单的质量补偿来保持质量守恒。比较说明，以质量补偿方法进行的高度订正对减小Boussinesq近似带来的误差没有本质的意义。     

海洋模式中Boussinesq近似误差讨论

根据全球增暖的特点,设计了一个理想的数值试验方案,用Boussinesq POP海洋模式和改进的非Boussinesq POP海洋模式定量讨论了Bousiinesq近似在海洋模式计算中的误差。结果发现,在只有热力驱动的热力环流背景下,由热膨胀引起的海平面上升在水平方向上是基本均匀的,在所给的初始边界条件下,这种由Boussinesq近似引起的最大海平面误差可以达到59％,在Boussinesq POP模式中,热源中心处的海面高度要远小于由非Boussinesq模式计算的海面高度,而其周围有虚假的海面高度下降;在只有加热引起的热盐环流过程中,当模式作了Boussinesq假设以后,计算的经向和纬向垂直环流都会产生虚假的加强,虽然这种误差只是在1％左右;在Bousiinesq近似假定下,热量经向通量在赤道上垂直剖面的积分误差比质量经向通量在赤道上垂直剖面的积分误差大一个量级;非Boussinesq模式计算的气压梯度所做功的垂向分布在3000m以下是有波动的,而Boussinesq模式计算的气压梯度所做功的垂向分布在3000m以下基本上是均匀的,它的误差在10％以上。     

Quantifying the non-conservative production of potential temperature over the past 22000 years

The energy budgets of the ocean play a crucial role in the analysis of climate change. Potential temperature is traditionally used as a conservative quantity to express variations associated with “heat” in oceanography, such as the heat content and heat transport. However, potential temperature is usually not conserved during turbulent mixing, so the use of conservative temperature is more accurate. Based on climatological simulations under the modern and Last Glacial Maximum (LGM;~21 ka;ka=thousand years ago), as well as a transient climate simulation of the past 22 000 years, we quantify the errors induced by the neglect of the non-conservation of potential temperature in paleo-climate research for the first time. The temperature error reaches 0.9℃ near the coasts aff ected by river discharges but is much smaller in the open oceans, typically 0.03°C above the main thermocline and less than 0.01℃ elsewhere. The error of the ocean heat content (OHC) is roughly 3×10^22 J and is relatively steady over the past 22 000 years. However, the OHC increases to six times the original value during the last glacial termination from 20 ka to 7 ka. As a result, the relative OHC error decreases from 1.2% in the LGM climate to 0.14% in the modern climate. The error of the ocean meridional heat transport (OMHT) is generally smaller than 0.005 PW (1 PW=10 15 W), with very small temporal variations (typically 0.000 4 PW), and induces a relative OMHT error of typically 0.3% over the past 22 000 years. Therefore, the neglect of the non-conservation of potential temperature induces a relative error of generally less than 1% in the analyses of basin-scale climate variations.     

Reproduction of World Ocean Circulation by the CORE-II Scenario with the Models INMOM and INMIO

The results of simulations performed by the CORE-II scenario using the two Russian OGCMs, INMOM and INMIO, are presented. The models use different coordinate systems in the basic set of primitive equations and different numerical techniques. Both models are used as oceanic components of the INM RAS coupled models. Simulations have shown that reproducing ocean circulation using both models agrees with observations and simulations by other models. In general, the INMOM slightly underestimates the meridional heat transport in the ocean when compared to the INMIO model and climatic estimations. However, the INMIO yields a higher bias in temperature than the INMOM.     

Atlas of ocean tidal charts and maps,Part I: The semidiurnal principal lunar tide M2

Abstract

In this paper the author presents the NSWC ocean tide model of the semidiurnal principal lunar (M₂) tide in an atlas of ocean tidal charts and maps. The model is the computer result of a unique combination of mathematical and empirical techniques, which was introduced, extensively tested, and evaluated by Schwiderski (1978a, 1980a, b, 1983e). The computed M₂ amplitudes and phases are tabulated along with all specially labeled empirical input data on a 1° × 1 ° grid system in 42° × 71° overlapping charts covering the whole oceanic globe. Corresponding global and arctic corange and cotidal maps are included to provide a quick overview of the major tidal phenomena. Significant qualitative and quantitative features are explained and discussed for proper application. In particular, the charted harmonic constants may be used to compute instantaneous M₂ ocean tides with an accuracy of better than 5 cm any time and anywhere in the open oceans. Limitations of this accuracy in coastal waters and border seas are mentioned.

The following four sections of this paper deal with brief reviews, detailed evaluations, and simple improvements of general and special applications of the NSWC ocean tide model. In spite of the numerous and diverse applications with potential possibilities of erroneous interpretations, the results are gratifying without exceptions. For instance, it is concluded that the computed low‐degree spherical harmonic coefficients of the M₂ ocean tide model agree with recent empirical satellite solutions as closely as one could wish for within the elaborated nonmodel error bounds. Detailed computations of all significant tidal energy terms produced the following noteworthy results: The rate of supplied tidal energy of 3.50Z10¹² Watt matches Cartwright's (1977) estimate of 3.5Z10¹² Watt. The rate of energy loss by bottom friction and displacement over the shelves is 1.50Z10¹² Watt, which fits into Miller's (1966) estimated range of (1.4–1.7)Z10¹² Watt, with a clear bias toward his preferred lower bound. Perhaps most remarkably, the computed range (0.41–0.60)Z10¹² Watt for the rate of deep bottom friction work done by the unresolved fluctuating (internal or baroclinic) currents contains in its center Munk's (1966) estimate of 0.5Z10¹² Watt and lies safely below Wunsch's (1975) extreme upper bound of 0.7Z10¹² Watt, which both authors derived for the rate of energy needed to sustain the internal tidal circulations. As is commonly believed, the results substantiate the fact that the total rate of ocean eddy dissipation (into heat) by the averaged (surface or barotropic) currents and their fluctuating comotions is negligible within three significant figures. Finally, the total tidal energy budget of the oceans is perfectly balanced in realistic terms. Budget deficits in earlier tide models were traced to the following tacit assumptions: The ocean bottom tide is doing positive work on the oceans against the ocean tide. In fact, the bottom displacement work by the ocean tide against the bottom tide is an energy loss at the rate of 1.64Z10¹² Watt. The transfer of G. I. Taylor's quadratic bottom friction term from the Irish Sea to the global oceans without accounting for major differences in area resolution scales is directly responsible for significant budget deficits in semiempirical estimates. In contrast, the hydrodynamically more consistent and realistic linear law of bottom friction encountered no serious transplantation difficulties.     

A comparison of two global ocean-ice coupled models with different horizontal resolutions

A global eddy-permitting ocean-ice coupled model with a horizontal resolution of 0.25 by 0.25 is established on the basis of Modular Ocean Model version 4 (MOM4) and Sea Ice Simulator (SIS). Simulation results are compared with those of an intermediate resolution ocean-ice coupled model with a horizontal resolution of about 1 by 1 . The results show that the simulated ocean temperature, ocean current and sea ice concentration from the eddy-permitting model are better than those from the intermediate resolution model. However, both the two models have the common problem of ocean general circulation models (OGCMs) that the majority of the simulated summer sea surface temperature (SST) is too warm while the majority of the simulated subsurface summer temperature is too cold. Further numerical experiments show that this problem can be alleviated by incorporating the non-breaking surface wave-induced vertical mixing into the vertical mixing scheme for both eddy-permitting and intermediate resolution models.     

大洋环流模式中Boussinesq近似与静压近似问题的讨论

改进环流模式中的Boussinesq近似与静压近似是当前海洋环流模式的主要研究方向之一。虽然目前已提出一些在模式中包含非Boussinesq效应和静压效应的方法,但是仍有很多关键问题亟待解决。系统地回顾了改进这2个基本近似的理论分析和数值模式的研究进展,介绍了不同方法的理论基础及其数值分析结果,并分析了这些方法中所存在的缺陷和问题,指出了开展进一步研究需要首先分析的几个关键问题。     

Spatial and temporal variability in South San Francisco Bay (USA). I. Horizontal distributions of salinity, suspended sediments, and phytoplankton biomass and productivity

The horizontal pattern of mesoscale (1–4 km) variability in salinity was a poor predictor of mesoscale patterns in chlorophyll a, suspended particulate matter, and daily primary productivity in the South San Francisco Bay estuary during spring 1987. The tidally-averaged salinity distribution varied over weekly time scales, reflecting inputs of freshwater as well as transport processes. Spatial distributions of the other quantities also varied weekly, but not in concert with the salt field. Spatial patterns of phytoplankton biomass (chlorophyll a) deviated from the salinity patterns, largely reflecting in situ production of phytoplankton biomass during the spring bloom. The tidally-averaged distribution of suspended particulate matter (SPM) was highly dynamic and responded to (1) the riverine input of suspended sediment during a freshet, (2) neap-spring variations in tidally-driven resuspension, and (3) resuspension in shallows following a period of wind mixing. Two-dimensional distributions of primary productivity P′, derived from maps of biomass and turbidity (SPM), also varied weekly, but the spatial variability of P′ was only about half that of SPM and chlorophyll. Since the magnitude and patterns of spatial variability differ among nonconservative quantities, at least in part because of local sources and sinks, we conclude that the spatial distributions of nonconservative quantities cannot be predicted from distributions of conservative tracers, such as salinity.     

河口及近岸海域底边界层生物地球化学过程研究进展

河口及近岸海域底边界层的生物地球化学过程在很大程度上影响着陆源物质的迁移转化及向海洋的输送通量,是陆海相互作用研究、海洋碳的"源、汇"研究以及氮、磷循环研究的关键。本文对河口及近岸海域底边界层生物地球化学过程研究进展进行了综述,重点介绍了底边界层中移动泥的特点和功能及微生物在其生物地球化学过程中的作用,并对今后的研究进行了展望。     

Accurate polynomial expressions for the density and specific volume of seawater using the TEOS-10 standard

A new set of approximations to the standard TEOS-10 equation of state are presented. These follow a polynomial form, making it computationally efficient for use in numerical ocean models. Two versions are provided, the first being a fit of density for Boussinesq ocean models, and the second fitting specific volume which is more suitable for compressible models. Both versions are given as the sum of a vertical reference profile (6th-order polynomial) and an anomaly (52-term polynomial, cubic in pressure), with relative errors of ∼0.1% on the thermal expansion coefficients. A 75-term polynomial expression is also presented for computing specific volume, with a better accuracy than the existing TEOS-10 48-term rational approximation, especially regarding the sound speed, and it is suggested that this expression represents a valuable approximation of the TEOS-10 equation of state for hydrographic data analysis. In the last section, practical aspects about the implementation of TEOS-10 in ocean models are discussed.     

Marine governance in an industrialised ocean: A case study of the emerging marine renewable energy industry

The world׳s oceans are currently undergoing an unprecedented period of industrialisation, made possible by advances in technology and driven by our growing need for food, energy and resources. This is placing the oceans are under intense pressure, and the ability of existing marine governance frameworks to sustainably manage the marine environment is increasingly being called into question. Emerging industries are challenging all aspects of these frameworks, raising questions regarding ownership and rights of the sea and its resources, management of environmental impacts, and management of ocean space. This paper uses the emerging marine renewable energy (MRE) industry, particularly in the United Kingdom (UK), as a case study to introduce and explore some of the key challenges. The paper concludes that the challenges are likely to be extensive and argues for development of a comprehensive legal research agenda to advance both MRE technologies and marine governance frameworks.     

基于观测的南海西沙海域深层近惯性振荡特征分析

近惯性内波运动普遍存在于全球大洋中,影响大洋中的质量、动量和能量输送,是大气强迫与海洋混合之间的重要纽带。由于目前海洋深层观测资料的缺乏,对于深层近惯性内波生消演变特征研究甚少。利用2009-2012年的潜标观测资料,采用带通滤波和谱分析方法研究了南海西沙海域深层近惯性内波生成、传播和消亡等演变特征。通过研究发现,南海西沙海域深层存在较强的近惯性振荡,其生成源为台风过境能量输入,绝大部分时段内,近惯性振荡能量在海洋浅层耗散,不向海洋深层传播;仅在少部分时段内,近惯性振荡能量的80%～85%耗散在500 m以浅区域,有大概15%～20%继续向海洋深层传播。     

Public ocean literacy in the United States

The 2004 Pew Ocean Commission report suggests a need to improve public literacy about oceans. The authors of the report assume that enhancing public awareness and knowledge of oceans will lead to increased public support for ocean restoration efforts. Following this line of reasoning, our study investigates current levels of public knowledge and informedness concerning oceans, and also explores the correlates of knowledge holding. Using data gathered from a national random sample of 1233 citizens in Summer/Fall 2003, two hypotheses—trans-situational and situation-specific—are examined as explanations of public knowledge levels concerning ocean policy issues. The trans-situational hypothesis evaluates socioeconomic status (SES) as an explanation for levels of knowledge. The situation-specific hypothesis evaluates personal experiences and contexts that might overcome SES characteristics. We also examine the effect of information source use on knowledge holding. Findings suggest that both trans-situational and situation-specific hypotheses are useful in explaining knowledge levels. We also find that information sources, such as newspapers and the internet, are likely to improve citizen knowledge on ocean issues, while television and radio have a negative effect.     

热带印度洋和太平洋海气相互作用事件的协调发展

对次表层海温距平的分布和变化的分析表明,在热带印度洋和太平洋都存在海温距平的偶极子模态,即在赤道附近大洋东、西两个部分的海温距平在不少年份呈反符号分布。进一步分析表明,两大洋海温距平的偶极子模态间有密切的联系。在分析它们和850hPa纬向风距平后指出,正是Walker环流异常把两大洋的海温距平变化联系起来。     

Energy conservation issues in sigma-coordinate free-surface ocean models

This paper focuses on the energy conservation properties of a hydrostatic, Boussinesq, coastal ocean model using a classic finite difference method. It is shown that the leapfrog time-stepping scheme, combined with the sigma-coordinate formalism and the motions of the free surface, prevents the momentum advection from exactly conserving energy. Because of the leapfrog scheme, the discrete form of the kinetic energy depends on the product of velocities at odd and even time steps and thus appears to be possibly negative when high-frequency modes develop. Besides, the study of the energy balance clarifies the numerical choices made for the computation of mixing processes. The time-splitting technique used to reduce the computation costs associated to the resolution of surface waves leads to the well-known external and internal mode equations. We show that these equations do not conserve energy if the coupling of these two modes is forward in time. Even if non-linear terms are negligible, this shortcoming can be significant regarding the pressure gradient term ‘frozen’ over a baroclinic time step. An alternative energy-conserving time-splitting technique is proposed in this paper. Discussion and conclusions are conducted in the light of a set of numerical experiments dedicated to surface and internal gravity waves.     

海洋中挥发性卤代烃的研究进展

挥发性卤代烃(Volatile halocarbons,VHCs)是大气中一类重要的痕量温室气体和主要的臭氧层破坏者,在全球气候变化中起着十分重要的作用。大量研究表明海洋是大气中VHCs的重要源汇区,研究海洋中VHCs的生物地球化学循环,对于进一步了解海洋中的VHCs对未来全球气候的影响具有重要意义。本文针对国内、外有关海洋中VHCs生物地球化学循环研究的进展进行了综述,介绍了VHCs在海洋中的来源和产生机制、它的分布规律及其影响因素,从而归纳了VHCs在海洋中的迁移转化过程。针对目前缺乏对于海洋中VHCs的生物、非生物形成机制及其在海洋中迁移转化机制的具体过程的深入研究,以及有限航次的海洋中VHCs的浓度监测数据和源汇收支不平衡的问题,提出未来的研究需要加强海洋中VHCs的来源、生成机制、迁移转化机制及其影响因素的深入探究,开展更系统的长时间尺度和空间维度上的全球海域中VHCs大数据监测,并完善海-气通量的计算方法,准确估算海洋中VHCs的源汇。     

Transport properties of entrained topographic waves during their interaction with turbulence

In the Boussinesq approximation, topographic waves entrained by a sloping bottom are considered with allowance for turbulent viscosity and diffusion. The mean flows induced by a wave through nonlinearity are determined. The turbulent exchange coefficients are expressed in terms of the density of turbulent energy by using the relations of the semiempirical theory of turbulence. The equation for boundary-layer wave solutions and the equation of turbulent energy balance are solved jointly, which makes it possible to determine the vertical distribution of the density of turbulent energy in the area of the given wave. In the diffusion approximation, the vertical distribution of the concentration of wave-suspended sediments is obtained for the case when the tangential bottom stress exceeds the critical values corresponding to the start of sediment motion.     

An analysis on the error structure and mechanism of soil moisture and ocean salinity remotely sensed sea surface salinity products

For the application of soil moisture and ocean salinity（SMOS） remotely sensed sea surface salinity（SSS） products,SMOS SSS global maps and error characteristics have been investigated based on quality control information.The results show that the errors of SMOS SSS products are distributed zonally,i.e.,relatively small in the tropical oceans,but much greater in the southern oceans in the Southern Hemisphere（negative bias） and along the southern,northern and some other oceanic margins（positive or negative bias）.The physical elements responsible for these errors include wind,temperature,and coastal terrain and so on.Errors in the southern oceans are due to the bias in an SSS retrieval algorithm caused by the coexisting high wind speed and low temperature; errors along the oceanic margins are due to the bias in a brightness temperature（TB） reconstruction caused by the high contrast between L-band emissivities from ice or land and from ocean; in addition,some other systematic errors are due to the bias in TB observation caused by a radio frequency interference and a radiometer receivers drift,etc.The findings will contribute to the scientific correction and appropriate application of the SMOS SSS products.