A coupled-mode system with application to nonlinear water waves propagating in finite water depth and in variable bathymetry regions

A non-linear coupled-mode system of horizontal equations is presented, modelling the evolution of nonlinear water waves in finite depth over a general bottom topography. The vertical structure of the wave field is represented by means of a local-mode series expansion of the wave potential. This series contains the usual propagating and evanescent modes, plus two additional terms, the free-surface mode and the sloping-bottom mode, enabling to consistently treat the non-vertical end-conditions at the free-surface and the bottom boundaries. The present coupled-mode system fully accounts for the effects of non-linearity and dispersion, and the local-mode series exhibits fast convergence. Thus, a small number of modes (up to 5–6) are usually enough for precise numerical solution. In the present work, the coupled-mode system is applied to the numerical investigation of families of steady travelling wave solutions in constant depth, corresponding to a wide range of water depths, ranging from intermediate depth to shallow-water wave conditions, and its results are compared vs. Stokes and cnoidal wave theories, as well as with fully nonlinear Fourier methods. Furthermore, numerical results are presented for waves propagating over variable bathymetry regions and compared with nonlinear methods based on boundary integral formulation and experimental data, showing good agreement.     

Depth matters: Microbial eukaryote diversity and community structure in the eastern North Pacific revealed through environmental gene libraries

Protistan community structure was examined from 6 depths (1.5, 20, 42, 150, 500, 880 m) at a coastal ocean site in the San Pedro Channel, California. A total of 856 partial length 18S rDNA protistan sequences from the six clone libraries were analyzed to characterize diversity present at each depth. The sequences were grouped into a total of 259 Operational Taxonomic Units (OTUs) that were inferred using an automated OTU calling program that formed OTUs with approximately species-level distinction (95% sequence similarity). Most OTUs (194 out of 259) were observed at only one specific depth, and only two were present in clone libraries from all depths. OTUs were obtained from 21 major protistan taxonomic groups determined by their closest BLAST matches to identified protists in the NCBI database. Approximately 74% of the detected OTUs belonged to the Chromalveolates, with Group II alveolates making up the largest single group. Protistan assemblages at euphotic depths (1.5, 20 and 42 m) were characterized by the presence of clades that contained phototrophic species (stramenopiles, chlorophytes and haptophytes) as well as consumers (especially ciliates). Assemblages in the lower water column (150, 500 and 800 m) were distinct from communities at shallow depths because of strong contributions from taxa belonging to euglenozoans, acantharians, polycystines and Taxopodida (Sticholonche spp. and close relatives). Species richness (Chao I estimate) and diversity (Shannon index) were highest within the euphotic zone and at 150 m, and lowest for protistan assemblages located in the oxygen minimum zone (500 and 880 m). Multivariate analyses (Bray-Curtis coefficient) confirmed that protistan assemblage composition differed significantly when samples were grouped into shallow (≤150 m) and deep water assemblages (≥150 m).     

1961-2014年青藏高原积雪时空特征及其影响因子

利用青藏高原(下称高原)1961-2014年地面110个气象站积雪深度、积雪日数、气温和降水逐日资料,系统地分析了高原积雪深度和积雪日数时空特征,并进一步探究了高原积雪深度和积雪日数与气候因子和地理因子之间的关系。研究发现:1961-2014年高原年平均积雪深度和积雪日数分别为0.26 cm和23.78 d,空间和季节尺度上分布不均匀,且积雪深度和积雪日数大值并不完全重合;在整体变化趋势上,积雪深度和积雪日数均呈缓慢下降趋势,分别为-0.0080±0.0086 cm·(10a)^-1(p=0.36)和-0.64±0.47 d·(10a)^-1(p=0.17),但在数理统计上不显著,且各站点差异性大;积雪深度和积雪日数在春季、冬季和年表现为“减-增-减”的年代际变化特征,而在秋季为“增-减”的变化特征;气温与积雪深度和积雪日数均有较好的相关性,冬季的降水与积雪深度和积雪日数高度相关;积雪深度和积雪日数随海拔呈增加趋势,积雪日数与纬度也高度相关,但积雪深度与纬度的相关性不明显。     

山东降雪含水比统计特征分析

降雪含水比（snow-to-liquid ratio,SLR）是指积雪深度与降雪融化后等量液体深度（降雪量）的比值,可用来计算积雪深度。山东有两种产生机制不同的降雪,冷流降雪主要分布在山东半岛北部沿海地区,其他类降雪在全省范围均可发生,二者的降雪含水比有明显差异。利用山东122个国家级气象观测站自建站以来至2018年12月的逐12 h降水量、日积雪深度、降水性质、日最高气温及1999—2018年的MICAPS高空、地面图资料,通过限定条件进行质量控制,统计分析了山东不同地区的降雪含水比气候特征,为积雪深度预报提供参考。结果表明：1）山东降雪含水比的变化范围为0.1～3.0 cm·mm-1,全省大部地区多年平均降雪含水比为0.9 cm·mm-1,主要集中在0.3～1.1 cm·mm-1之间;山东半岛北部沿海地区（强冷流降雪区域）的多年平均降雪含水比为1.3 cm·mm-1,主要集中在0.9～2.0 cm·mm-1之间。2）降雪含水比的大小与降雪量等级有关,且存在明显月变化。全省大部地区从中雪至暴雪随着降雪量等级的增大,降雪含水比依次减小;各等级的降雪含水比月最大值均出现在1月或12月,最小值出现在11月或2月;山东半岛北部沿海地区的降雪含水比表现出更为复杂的特征,在以冷流降雪为主的11月—次年1月,中雪、大雪和暴雪的降雪含水比基本相当;2月和3月冷流降雪不明显,降雪含水比表现出与其他地区降雪类似的特征。3）不同天气系统暴雪的降雪含水比有差异。江淮气旋暴雪过程平均降雪含水比为0.69 cm·mm-1,总体上呈现“北大南小,山区大沿海小”分布,中雪、大雪和暴雪的降雪含水比中位数分别为0.8、0.7和0.5 cm·mm-1;回流形势暴雪过程的全省平均降雪含水比为0.67 cm·mm-1,中雪的降雪含水比中位数为0.8 cm·mm-1,大雪和暴雪均为0.6 cm·mm-1;冷流暴雪的降雪含水比明显大于其他两类暴雪,中位数在1.1～1.6 cm·mm-1之间变化,中雪、大雪和暴雪的降雪含水比中位数分别为1.4、1.6和1.3 cm·mm-1。     

民勤绿洲外围不同林龄人工梭梭林的土壤水分特征

 2009年6月到9月,每月中旬在民勤绿洲边缘不同林龄(2 a,5 a,10 a,20 a,30 a)的人工梭梭林内测试不同深度(20 cm,30 cm,50 cm,100 cm,150 cm和200 cm)的土壤含水量变化情况。分析结果表明,不同林龄的梭梭林内土壤含水量与时间和深度有关。土壤表层含水量主要受自然降雨控制,8月底发生比较大的自然降雨后,9月不同林龄梭梭林内20 cm和30 cm的含水量显著高于其他3个月。土壤50 cm以下的含水量比较稳定,当降雨少,土壤表层含水量低时,可以作为梭梭利用的水分来源。在7月和8月,5 a梭梭林内土壤含水量最低,表明梭梭对土壤水分的消耗最多,栽植密度过大,因此,需要间伐减少植株数量才能维持其稳定性。     

Accuracy of kinematic wave and diffusion wave for spatial‐varying rainfall excess over a plane

The kinematic‐wave and diffusive‐wave approximations were investigated for unsteady overland flow resulting from spatially varying rainfall excess. Three types of boundary conditions were adopted: zero flow at the upstream end, and critical flow and zero depth‐gradient at the downstream end. Errors were derived by comparing the dimensionless profiles of the flow depth over the plane with those computed from the dynamic‐wave solution. It was found that the mean errors for both the approximations were independent of the type of rainfall excess distribution for KF₀² > 5, where K is the kinematic‐wave number and F₀ is the Froude number. Therefore, the regions (KF₀², F₀) where the kinematic‐wave and diffusive‐wave solutions would be fairly accurate and for any distribution of spatially varying rainfall, were characterized. The kinematic‐wave approximation was reasonably accurate, with a mean error of less than 5% and for the critical depth at the downstream end, for KF₀² ≥ 20 with F₀ ≤ 1; if the rainfall excess was concentrated in a portion of the plane, the field where the kinematic‐wave solution was found accurate, it was more limited and characterized for KF₀² > 35 with F₀ ≤ 1. The diffusive‐wave solution was in good agreement with the dynamic‐wave solution with a mean error of less than 5%, in the flow depth, for KF₀² ≥ 15 with F₀ ≤ 1; for rainfall excess concentrated in a portion of the plane, the accuracy of the diffusion wave solution was in a region more restricted and defined for KF₀² ≥ 30 with F₀ ≤ 1. For zero‐depth gradient at the downstream end, the accuracy field of the kinematic‐wave was found to be greater and characterized for KF₀² > 10 with F₀ ≤ 1; for rainfall excess concentrated in a portion of the plane, the region was smaller and defined for KF₀² > 15 with F₀ ≤ 1. The diffusive‐wave solution was found accurate in the region defined for KF₀² > 7·5, whereas for rainfall excess concentrated in a portion of the plane, the field of accuracy was for KF₀² > 12·5 with F₀ ≤ 1. The lower limits of the regions, defined on KF₀², can be considered generally valid for both approximations, but for F₀ < 1 smaller lower limits were also characterized. Finally, the accuracy of these approximations was influenced significantly by the downstream boundary condition. Copyright © 2002 John Wiley & Sons, Ltd.     

Far infrared emission from three new planetary nebulae

As dust emission in the far infrared (FIR) is a characteristic property of planetary nebulae we searched the Infrared Astronomical Satellite (IRAS) point-source catalogue for confirmatory evidence on the two new possible planetary nebulae S 68 and 248 - 5 identified by Fesen, Gull & Heckathorn (1983) and the high-excitation planetary nebula 76 + 36 detected by Sanduleak (1983). We identify the nebulae 248 - 5 and 76 + 36 with IRAS sources 07404 - 3240 and 17125 + 4919, respectively and have determined their dust temperature, total FIR emission and optical depth. We also set a lower limit ranging in value from 1.2 × 10^-6 to 3.7 × 10^-5 forM _dust /M _bd of the nebula 248 - 5 depending on whether its grain material is silicate or graphite. S 68 could not be identified with an IRAS source.     

CBERS-1CCD相机飞行绝对辐射标定试验地面同步测量与场地辐射特性分析

中国对地观测遥感卫星辐射校正场(即敦煌场)位于中国敦煌市西戈壁沙漠的西北角。整个敦煌场地面比较均匀、平坦,面积为30×40km²;测试区(标定区)面积为400×400m²,位于场区的中心位置。2000年8月底至9月初,中国资源卫星应用中心联合安徽光机所在敦煌场地进行了一次CBERS-1CCD传感器飞行绝对辐射标定试验。地表反射率和大气光学特性地面同步测量结果显示:敦煌场地的地面均匀性好,各个通道反射率的变化系数(即相对变化百分比)均小于3%。在可见光、近红外光谱范围内,地面光谱反射率随波长增加逐步增大,例如,在485nm波长处的地面反射率值约为0.18,在830nm波长处的反射率值约为0.26。大气光学特性测量结果显示:0.55μm波长处的大气总光学厚度(≈0.34)和气溶胶光学厚度(≈0.26)相对较小,大气水汽含量也较小。