基于Delft3D模型的鄱阳湖水动力模拟研究
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摘要
对湖泊水环境质量进行科学的分析和评价是对其进行有效的规划、治理和管理的基础,对保证社会的可持续发展具有十分重要的意义。应用水动力学模拟模型,对水体的水动力学规律进行分析,是水环境分析的重要基础。本文通过建立湖泊水动力学模型,对湖泊水动力学规律进行模拟研究,从而为湖泊环境规划和管理服务。
本文选择鄱阳湖作为研究对象,采用的是经典的有限差分法离散所建立的方程组,引入荷兰Delft3D计算软件对研究区域的水动力情况进行了数值计算个模拟。经过与实测资料的比较验证,计算结果符合实际情况,可达到精度要求。
鄱阳湖是我国第一大淡水湖,也是我国目前比较干净的湖泊之一,但最近几年受人类活动的影响,以及对其资源的过度开发和利用,加上底泥中长期积累的氮、磷元素的释放,鄱阳湖富营养化程度日趋严重,严重影响了湖泊环境,并制约着当地及周边经济的可持续发展。该研究利用鄱阳湖1987年7月15日、1999年12月10日的遥感数据和水文实测数据对其在丰水期和枯水期的水动力特征及变化规律进行了分析。同时,基于国际知名的Delft3D软件平台构建了鄱阳湖水动力数学模型,对鄱阳湖的流场进行了二维数值模拟,着重分析了典型风向不同风速情况下鄱阳湖的水动力变化规律,计算结果与实测资料较为吻合,模型真实可靠。
文章最后通过模拟和水文实测数据分析表明:鄱阳湖水动力情况具有明显的季节变化特征。在其它因素不变的情况下,典型风向、不同风速对鄱阳湖的流场结构产生了一定的影响。
In order to keep the social development of economy sustainable, it is very important that the water environment quality is analyzed and evaluated rationally, and it is therefore planned, harnessed and managed efficiently. To conduct the water environment analysis, an important basic work is to analyze the hydrodynamic behaviors. The objective of this work is to study the hydrodynamic behavior in lake using hydrodynamic models, and direct way to serve the planning and management for environmental department.
This paper employs the Alternating Direction Implicit method to discrete the hydrodynamics governing equations for numerical simulation, and obtains the results of hydrodynamics and concentration fields in succession. The Delft3D is introduced in the pro and after process and numerical with measured data, the computed results accord with the reality approximately, the computing accuracy is good enough.
Poyang Lake, the first Largest Lake in our country, is as well as one of the relatively clean lake. However, due to the influences of human activities, unreasonable exploitive and the release of nitrogen and phosphorus which have accumulated in the bottom mud for a long time, the problem of eutrophicate has increased severely in Poyang Lake, which affected its lake environment seriously and restricted the local social and economic development. The Poyang Lake’Hydrodynamic conditions and changes character have been analyzed by remote sensing and hydrological data from 7.15.1989 and 12.10.1999. Meanwhile, based on the international well-know software Delft3D, the Poyang Lake’Hydrodynamic mathematical model was constructed to simulate the flow field, which focused on analysis of a typical wind speed in different situations the hydrodynamic characteristics of the Poyang Lake’. The calculations were well talked with the measured data, which proved the model was true and credible.
At last, the analysis of hydrological measured data reveals that the Poyang Lake presents obvious seasonal variety. The results of numerical simulation, in summer and winter, shows that other elements being equal, wind had a certain impact on the flow field structure of the Poyang Lake.
本文选择鄱阳湖作为研究对象,采用的是经典的有限差分法离散所建立的方程组,引入荷兰Delft3D计算软件对研究区域的水动力情况进行了数值计算个模拟。经过与实测资料的比较验证,计算结果符合实际情况,可达到精度要求。
鄱阳湖是我国第一大淡水湖,也是我国目前比较干净的湖泊之一,但最近几年受人类活动的影响,以及对其资源的过度开发和利用,加上底泥中长期积累的氮、磷元素的释放,鄱阳湖富营养化程度日趋严重,严重影响了湖泊环境,并制约着当地及周边经济的可持续发展。该研究利用鄱阳湖1987年7月15日、1999年12月10日的遥感数据和水文实测数据对其在丰水期和枯水期的水动力特征及变化规律进行了分析。同时,基于国际知名的Delft3D软件平台构建了鄱阳湖水动力数学模型,对鄱阳湖的流场进行了二维数值模拟,着重分析了典型风向不同风速情况下鄱阳湖的水动力变化规律,计算结果与实测资料较为吻合,模型真实可靠。
文章最后通过模拟和水文实测数据分析表明:鄱阳湖水动力情况具有明显的季节变化特征。在其它因素不变的情况下,典型风向、不同风速对鄱阳湖的流场结构产生了一定的影响。
In order to keep the social development of economy sustainable, it is very important that the water environment quality is analyzed and evaluated rationally, and it is therefore planned, harnessed and managed efficiently. To conduct the water environment analysis, an important basic work is to analyze the hydrodynamic behaviors. The objective of this work is to study the hydrodynamic behavior in lake using hydrodynamic models, and direct way to serve the planning and management for environmental department.
This paper employs the Alternating Direction Implicit method to discrete the hydrodynamics governing equations for numerical simulation, and obtains the results of hydrodynamics and concentration fields in succession. The Delft3D is introduced in the pro and after process and numerical with measured data, the computed results accord with the reality approximately, the computing accuracy is good enough.
Poyang Lake, the first Largest Lake in our country, is as well as one of the relatively clean lake. However, due to the influences of human activities, unreasonable exploitive and the release of nitrogen and phosphorus which have accumulated in the bottom mud for a long time, the problem of eutrophicate has increased severely in Poyang Lake, which affected its lake environment seriously and restricted the local social and economic development. The Poyang Lake’Hydrodynamic conditions and changes character have been analyzed by remote sensing and hydrological data from 7.15.1989 and 12.10.1999. Meanwhile, based on the international well-know software Delft3D, the Poyang Lake’Hydrodynamic mathematical model was constructed to simulate the flow field, which focused on analysis of a typical wind speed in different situations the hydrodynamic characteristics of the Poyang Lake’. The calculations were well talked with the measured data, which proved the model was true and credible.
At last, the analysis of hydrological measured data reveals that the Poyang Lake presents obvious seasonal variety. The results of numerical simulation, in summer and winter, shows that other elements being equal, wind had a certain impact on the flow field structure of the Poyang Lake.
引文
[1]金相灿.中国湖泊环境[M].第1册.北京:海洋出版社,1995:123
[2]李一平,逄勇,彭进平.湖泊水动力特征与数值实验模拟研究综述[J].水资源保护,2003,3
[3]曹祖德,李炎保.水动力数值模拟的发展方向[J].海洋学报,1995,17(4):142-147
[4]Simons TJ. Development of three dimensional numerical model of the Great Lakes [J]. CaInlan Water Branch, Sci Ser,1973(12):269
[5]Onnish,Imasato N. Study on the currents in Lake Biwa (III) [J].Journal of the Oceanographical Society of Japan,1979(9):53~60
[6]Endon. Diagnostic study on the vertical circulation and the maintenance mechanisms of the cyclonic gyre in Lake Biwa [J].Journal of Geophysical Research,1986,9(CI):869~876
[7]Walter H G, Clifford H,Mortimer. Hydrodynamics of lakes [J].Development in Water Science,1979 ,11
[8]Cheng R T,Tung C. Wind driven lake circulation by the FEM[R].Proc13th Conference Great Lakes, 1970
[9]Murthy C R ,Simons T J ,Lam D C L. Dynamic and transport modeling of the Niagara River Plume in Lake Ontario [J].Explore Mcr,1986 (186):150~164
[10]Naimic,C,J.,Blain,C.A.,Luneh,D.R.SeasonalMeanCirculationintheyellowSea.a Model一GeneratedClimatology[J].ContinentalShellResearch,2001.
[11]吴坚.太湖水动力学数值模拟[D].南京:中国科学院南京地理与湖泊研究所,1993
[12]王谦谦,姜加虎,濮培民.太湖和太浦河口风成流、风涌水的数值模拟及单站验证[J].湖泊科学,1992,4(4):1-7
[13]张利民,濮培民.一个三维斜压水动力模型的建立及在日本琵琶湖的应用[J].湖泊科学,1994(增刊):27-28
[14]逄勇,濮培民,高光,等.非均匀风场作用下太湖风生流、风涌水的数值模拟及验证[J].海洋湖沼通报,1994,4:9-15
[15]孙卫红.太湖风生流及污染带模拟研究[D].南京:河海大学,2001
[16]刘晓东.四叉数网格二维水流及物质输运的数学模型[D].南京:河海大学,2002
[17]赖锡军,姜加武,黄群.洞庭湖地区水系水动力耦合数值模型[J].海洋与湖泊,2008,1
[18]高菲,张文胜,吴挺峰.长江口福山倒套河段水动力数值模拟[J].人民长江,2008,39(18):72-74
[19]Mellor, G.L.User guide for a three-dimensional,primitive equation, numerical ocean model. Atmospheric and Ocean Sciences, Princeton University,Princeton,N.J.,1998
[20]张越美,孙英兰.ECOM模型在丁子湾中的应用[J].青岛海洋大学学报,2001,31(5):659-664
[21]孙英兰,张越美.胶州湾三维变动边界潮流数值模拟[J].海洋与湖沼,2001,32(4):355-361,1999,(5):57-60
[22]Neves.Mohid Description [M].Technical Univercity of Lisbon,Portugal,2003
[23]张娜.风浪作用下粘性泥沙运动的三维数值模拟[D].天津大学硕士论文,2004
[24]陈玉璞.流体动力学[M],南京.河海大学出版社,1990;
[25]王福军.计算流体动力学分析[M].北京,清华大学出版社,2004;
[26]王翠,孙英兰,张学庆.基于EFDC模型的胶州湾三维潮流数值模拟[J].中国海洋大学学报(自然科学版),2008,938(5):833-840
[27]王建平,苏保林,贾海峰.密云水库及其流域营养物集成模拟的型体系研究[J].环境科学,2006,27(7):1286-1291
[28]Delft3D-RGFGRID_User_Mannual,WL︱Delft Hydraulics,2003
[29]Delft3D-QUICKIN_User_Mannual , WL︱Delft Hydraulics , 2003
[30]Del3tfD-FLOW_User_Mannual,WL︱Delft Hydraulics,2003
[31]Delft3D-GPP_User_Mannual,WL︱Delft Hydraulics,2003
[32]吴曰友,赖格英.鄱阳湖生态环境基本特征及近期发展趋势[J].甘肃科技,2009,25(02):47-49
[33]程时长,卢兵.鄱阳湖湖流特征[J].江西水利科技,2003,29(2):105-108.
[34]胡春华.史时期都阳湖湖口长江倒灌分析[J].地理学报,1999,54(1):77-82.
[35]刘成,李行伟,韦鹤平.长江口水动力及污水稀释扩散模拟「J].海洋与湖沼,2003,34(5):474-483
[36]倪勇强,耿兆锉,朱军政.杭州湾水动力特性研讨[J].水动力学研究与进展,2 003,18(4):439-445
[37]Loranger, J and Kenner, S.J.(2004).Comparison of one- and two-dimensional hydraulic habitat models for simulation of trout stream habitat, Critical Transitions in Water and Environmental Resources Management, pp1-10
[38]Schwartz, J.S. (2004). Use of 2-D hydrodynamic model for stream restoration design of high-flow habitat in low gradient mid-west streams, Protection andRestoration of Urban and Rural Streams,pp 242-251.
[39]Tim A. Wool,Robert B. Ambrose,James L. Martin,et al. Water Quality Analysis Simulation Program (SP) Version7.0 DRAFT: User , 5Manual Atlanta: US Environmental Protection Agengy,MS Tetra Tech.2006
[40]金腊华,许峰俊.水环境数值模拟与可视化技术[M].北京:化学工业版社,2004.3
[41]Jin K R, Hamrick J H, Todd T. Application of three 2-dimensional hydrodynamic model for Lake Okeechobee [J]. Journal of Hydraulic Engineering, 2000: 7582771
[42]左一鸣,崔广柏.二维水动力模型的并行计算研究[J].水科学进展,2008,19(6):846-849
[43]吴晓玲,王船海.基于卡尔曼滤波的水动力模型实时校正方法[J].武汉大学学报(工学版),2008,41(3):5-8
[44]徐祖信,尹海龙.黄浦江干流二维水动力实时数学模型研究[J].水动力学研究与进展,2003,18(3):373-378
[45]欧剑,马进荣,张行南,张晓艳.大通至长江口整体水动力模型[J].河海大学学报(自然科学版),2009,37(3):258-261
[46]陈景秋,赵万星,季振刚.重庆两江汇流水动力模型[J].水动力学研究与进展,2005(S1):12
[47]刘鑫煜.南排河中心渔港工程潮流泥沙数学模型.天津:天津大学建筑工程学院,2008:23-31
[48]王炜,二维洪水数值模拟在太浦河洪水风险图编制中的应用[D].上海:同济大学土木工程学院,2008:2.1-46
[49]储鏖.Delft3D在天文潮与风暴潮耦合数值模拟中的应用[J].海洋预报,29004,2.1(3):30-34
[50]张姝如.太湖风生波流及泥沙运动三维数值模拟[D].天津:天津大学建筑工程学院,2008:33-42
[51]栗苏文,李红艳,夏建新.基于Delft 3D模型的大鹏湾水环境容量分析[J].环境科学研究,2005,18(5):92-95
[52]姜治兵,槐文信,韩继斌,杨中华.高拱坝下游水垫塘内流场的数值模拟[J].华中科技大学学报(自然科学版),2008,36(2):12-128
[53]陈思宇,匡翠萍,刘曙光,王炜.太浦河一维、二维水流数值模拟比较研究[J].人民长江,2008,39(15):51-53
[54]毛献忠,陈甫源,余祈文等.堵港蓄淡水库水体淡化预测研究[J].水力学报,2004,7:1-6
[55]吴继伟,刘新成,潘丽红.长江口北支咸潮倒灌控制工程水动力数值模拟[J].水利水电科技进展,2006,26(4):43-55
[56]龙江,吴亚帝等.水动力与水质数值模拟中的有限元法[J].人民珠江,2002,6:4-6
[57]王伟.基于滑移网格与RNG湍流模型的螺旋桨水动力性能研究[J].中国海洋平台,2008,23(6):8-12
[58]祝丽丽,孙志林等.钱塘江河口弯道潮流场的数值模拟[J].浙江大学学报(理学版),2007,34(3):352-355
[59]左书华.Delft3D在鳌江口外平阳咀海域流畅模拟中的应用[J].水文,2007,27(6):55-58
[60]欧剑,马进荣等.大通至长江口整体水动力模型[J].河海大学学报(自然科学版),2009,37(3):258-261
[61]黄小平,黄良民.大鹏湾水动力特征及其生态环境效应[J].热带海洋学报,2003,22(5):48-51
[62]申宏伟.Delft3D软件在水利工程中的数值模拟[J].水利科技与经济,2005,11(7):440-441
[63]陈祖军,韦鹤平,陈美发.长江口水域三维水动力数值模拟研究[J].海洋预报,2004,2.1(3):37-43
[64]姜治兵,槐文信等.高拱坝下游水垫塘内流场的数值模拟[J].华中科技大学学报(自然科学版),2008,36(2):127-128
[65]顾莉.长江河口南支太仓段水动力及水质三维数值模拟研究[D].南京:河海大学环境学院,2007:6-10
[66]李红仙.西湖流场和浓度场对引水工程响应的数值模拟研究[D].杭州:浙江大学建筑工程学院,2006:35-39
[67]杨益洪.西湖混合三维数值模拟研究[D].杭州:浙江大学建筑工程学院,2007:1-9
[68]陈栋.三峡水库非汛期水动力及水质模拟研究[D].济南:山东大学土建与水利学院,2008:5-23
[69]齐珺等.长江水系武汉段水动力过程三维数数值模拟[J].水动力学研究与进展,2008,3
[70]刘桦,吴卫,何友声.长江口水环境数值模拟研究-水动力数值模拟[J].水动力学研究与进展,2000,15(1):18-29
[71]匡翠萍,高健,刘曙光,张宁.贝加尔湖典型风况下三维流场数值模拟[J].人民长江,2010,41(3):99-101
[72]国内水论坛.http://bbs.cjk3d.net/thread-3919-1-3.html, 2008.12~13
[2]李一平,逄勇,彭进平.湖泊水动力特征与数值实验模拟研究综述[J].水资源保护,2003,3
[3]曹祖德,李炎保.水动力数值模拟的发展方向[J].海洋学报,1995,17(4):142-147
[4]Simons TJ. Development of three dimensional numerical model of the Great Lakes [J]. CaInlan Water Branch, Sci Ser,1973(12):269
[5]Onnish,Imasato N. Study on the currents in Lake Biwa (III) [J].Journal of the Oceanographical Society of Japan,1979(9):53~60
[6]Endon. Diagnostic study on the vertical circulation and the maintenance mechanisms of the cyclonic gyre in Lake Biwa [J].Journal of Geophysical Research,1986,9(CI):869~876
[7]Walter H G, Clifford H,Mortimer. Hydrodynamics of lakes [J].Development in Water Science,1979 ,11
[8]Cheng R T,Tung C. Wind driven lake circulation by the FEM[R].Proc13th Conference Great Lakes, 1970
[9]Murthy C R ,Simons T J ,Lam D C L. Dynamic and transport modeling of the Niagara River Plume in Lake Ontario [J].Explore Mcr,1986 (186):150~164
[10]Naimic,C,J.,Blain,C.A.,Luneh,D.R.SeasonalMeanCirculationintheyellowSea.a Model一GeneratedClimatology[J].ContinentalShellResearch,2001.
[11]吴坚.太湖水动力学数值模拟[D].南京:中国科学院南京地理与湖泊研究所,1993
[12]王谦谦,姜加虎,濮培民.太湖和太浦河口风成流、风涌水的数值模拟及单站验证[J].湖泊科学,1992,4(4):1-7
[13]张利民,濮培民.一个三维斜压水动力模型的建立及在日本琵琶湖的应用[J].湖泊科学,1994(增刊):27-28
[14]逄勇,濮培民,高光,等.非均匀风场作用下太湖风生流、风涌水的数值模拟及验证[J].海洋湖沼通报,1994,4:9-15
[15]孙卫红.太湖风生流及污染带模拟研究[D].南京:河海大学,2001
[16]刘晓东.四叉数网格二维水流及物质输运的数学模型[D].南京:河海大学,2002
[17]赖锡军,姜加武,黄群.洞庭湖地区水系水动力耦合数值模型[J].海洋与湖泊,2008,1
[18]高菲,张文胜,吴挺峰.长江口福山倒套河段水动力数值模拟[J].人民长江,2008,39(18):72-74
[19]Mellor, G.L.User guide for a three-dimensional,primitive equation, numerical ocean model. Atmospheric and Ocean Sciences, Princeton University,Princeton,N.J.,1998
[20]张越美,孙英兰.ECOM模型在丁子湾中的应用[J].青岛海洋大学学报,2001,31(5):659-664
[21]孙英兰,张越美.胶州湾三维变动边界潮流数值模拟[J].海洋与湖沼,2001,32(4):355-361,1999,(5):57-60
[22]Neves.Mohid Description [M].Technical Univercity of Lisbon,Portugal,2003
[23]张娜.风浪作用下粘性泥沙运动的三维数值模拟[D].天津大学硕士论文,2004
[24]陈玉璞.流体动力学[M],南京.河海大学出版社,1990;
[25]王福军.计算流体动力学分析[M].北京,清华大学出版社,2004;
[26]王翠,孙英兰,张学庆.基于EFDC模型的胶州湾三维潮流数值模拟[J].中国海洋大学学报(自然科学版),2008,938(5):833-840
[27]王建平,苏保林,贾海峰.密云水库及其流域营养物集成模拟的型体系研究[J].环境科学,2006,27(7):1286-1291
[28]Delft3D-RGFGRID_User_Mannual,WL︱Delft Hydraulics,2003
[29]Delft3D-QUICKIN_User_Mannual , WL︱Delft Hydraulics , 2003
[30]Del3tfD-FLOW_User_Mannual,WL︱Delft Hydraulics,2003
[31]Delft3D-GPP_User_Mannual,WL︱Delft Hydraulics,2003
[32]吴曰友,赖格英.鄱阳湖生态环境基本特征及近期发展趋势[J].甘肃科技,2009,25(02):47-49
[33]程时长,卢兵.鄱阳湖湖流特征[J].江西水利科技,2003,29(2):105-108.
[34]胡春华.史时期都阳湖湖口长江倒灌分析[J].地理学报,1999,54(1):77-82.
[35]刘成,李行伟,韦鹤平.长江口水动力及污水稀释扩散模拟「J].海洋与湖沼,2003,34(5):474-483
[36]倪勇强,耿兆锉,朱军政.杭州湾水动力特性研讨[J].水动力学研究与进展,2 003,18(4):439-445
[37]Loranger, J and Kenner, S.J.(2004).Comparison of one- and two-dimensional hydraulic habitat models for simulation of trout stream habitat, Critical Transitions in Water and Environmental Resources Management, pp1-10
[38]Schwartz, J.S. (2004). Use of 2-D hydrodynamic model for stream restoration design of high-flow habitat in low gradient mid-west streams, Protection andRestoration of Urban and Rural Streams,pp 242-251.
[39]Tim A. Wool,Robert B. Ambrose,James L. Martin,et al. Water Quality Analysis Simulation Program (SP) Version7.0 DRAFT: User , 5Manual Atlanta: US Environmental Protection Agengy,MS Tetra Tech.2006
[40]金腊华,许峰俊.水环境数值模拟与可视化技术[M].北京:化学工业版社,2004.3
[41]Jin K R, Hamrick J H, Todd T. Application of three 2-dimensional hydrodynamic model for Lake Okeechobee [J]. Journal of Hydraulic Engineering, 2000: 7582771
[42]左一鸣,崔广柏.二维水动力模型的并行计算研究[J].水科学进展,2008,19(6):846-849
[43]吴晓玲,王船海.基于卡尔曼滤波的水动力模型实时校正方法[J].武汉大学学报(工学版),2008,41(3):5-8
[44]徐祖信,尹海龙.黄浦江干流二维水动力实时数学模型研究[J].水动力学研究与进展,2003,18(3):373-378
[45]欧剑,马进荣,张行南,张晓艳.大通至长江口整体水动力模型[J].河海大学学报(自然科学版),2009,37(3):258-261
[46]陈景秋,赵万星,季振刚.重庆两江汇流水动力模型[J].水动力学研究与进展,2005(S1):12
[47]刘鑫煜.南排河中心渔港工程潮流泥沙数学模型.天津:天津大学建筑工程学院,2008:23-31
[48]王炜,二维洪水数值模拟在太浦河洪水风险图编制中的应用[D].上海:同济大学土木工程学院,2008:2.1-46
[49]储鏖.Delft3D在天文潮与风暴潮耦合数值模拟中的应用[J].海洋预报,29004,2.1(3):30-34
[50]张姝如.太湖风生波流及泥沙运动三维数值模拟[D].天津:天津大学建筑工程学院,2008:33-42
[51]栗苏文,李红艳,夏建新.基于Delft 3D模型的大鹏湾水环境容量分析[J].环境科学研究,2005,18(5):92-95
[52]姜治兵,槐文信,韩继斌,杨中华.高拱坝下游水垫塘内流场的数值模拟[J].华中科技大学学报(自然科学版),2008,36(2):12-128
[53]陈思宇,匡翠萍,刘曙光,王炜.太浦河一维、二维水流数值模拟比较研究[J].人民长江,2008,39(15):51-53
[54]毛献忠,陈甫源,余祈文等.堵港蓄淡水库水体淡化预测研究[J].水力学报,2004,7:1-6
[55]吴继伟,刘新成,潘丽红.长江口北支咸潮倒灌控制工程水动力数值模拟[J].水利水电科技进展,2006,26(4):43-55
[56]龙江,吴亚帝等.水动力与水质数值模拟中的有限元法[J].人民珠江,2002,6:4-6
[57]王伟.基于滑移网格与RNG湍流模型的螺旋桨水动力性能研究[J].中国海洋平台,2008,23(6):8-12
[58]祝丽丽,孙志林等.钱塘江河口弯道潮流场的数值模拟[J].浙江大学学报(理学版),2007,34(3):352-355
[59]左书华.Delft3D在鳌江口外平阳咀海域流畅模拟中的应用[J].水文,2007,27(6):55-58
[60]欧剑,马进荣等.大通至长江口整体水动力模型[J].河海大学学报(自然科学版),2009,37(3):258-261
[61]黄小平,黄良民.大鹏湾水动力特征及其生态环境效应[J].热带海洋学报,2003,22(5):48-51
[62]申宏伟.Delft3D软件在水利工程中的数值模拟[J].水利科技与经济,2005,11(7):440-441
[63]陈祖军,韦鹤平,陈美发.长江口水域三维水动力数值模拟研究[J].海洋预报,2004,2.1(3):37-43
[64]姜治兵,槐文信等.高拱坝下游水垫塘内流场的数值模拟[J].华中科技大学学报(自然科学版),2008,36(2):127-128
[65]顾莉.长江河口南支太仓段水动力及水质三维数值模拟研究[D].南京:河海大学环境学院,2007:6-10
[66]李红仙.西湖流场和浓度场对引水工程响应的数值模拟研究[D].杭州:浙江大学建筑工程学院,2006:35-39
[67]杨益洪.西湖混合三维数值模拟研究[D].杭州:浙江大学建筑工程学院,2007:1-9
[68]陈栋.三峡水库非汛期水动力及水质模拟研究[D].济南:山东大学土建与水利学院,2008:5-23
[69]齐珺等.长江水系武汉段水动力过程三维数数值模拟[J].水动力学研究与进展,2008,3
[70]刘桦,吴卫,何友声.长江口水环境数值模拟研究-水动力数值模拟[J].水动力学研究与进展,2000,15(1):18-29
[71]匡翠萍,高健,刘曙光,张宁.贝加尔湖典型风况下三维流场数值模拟[J].人民长江,2010,41(3):99-101
[72]国内水论坛.http://bbs.cjk3d.net/thread-3919-1-3.html, 2008.12~13