共查询到18条相似文献,搜索用时 562 毫秒
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通量向量分裂格式及有限体积法在水流模拟中的应用 总被引:1,自引:0,他引:1
有限体积法(FVM)的方程是对控制体写出的积分形式的物理恒律,该法将计算域划发成若干不规划现状的控制体,对每个控制体分别进行水量和动量平衡计算,得出各控制体边界沿法向输入或输出的流量和动量能量,然后便可计算出时段末各控制体的平均水深和流速,该法的主要特色在于以高精度的通量向量分裂格式(FVS),通过求解局部黎曼问题来估算各网格边界上的法向通量,我们将以有限体积法为基础的二维水流模型应用于长江江苏段潮流数值模拟。同时,根据长江江苏段受弯道影响的特点对模型进行了一定的改进。结果证明:有限控制体积法(FVM)配合通量向量分裂格式(FVS)是一种具有高解析度的数值方法。 相似文献
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感潮河段的水流和泥沙运动均具有很强的非恒定性,采用有限体积法建立了一套感潮河段平面二维水流泥沙数学模型。模型采用同位网格的SIMPLEC法对水流方程进行离散和求解,较全面地考虑了非均匀悬移质及推移质运动,具有较好的普遍适用性。以长江下游口岸直河段和仪征河段为例,分别对模型作了定床和动床计算,计算结果与实测值符合较好,从而证明了模型的可靠性。 相似文献
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分析了圣维南方程在感潮河段水流模拟应用情况,指出了圣维南方程在感潮河段直接应用不仅存在理论结构缺陷,而且还存在理论与计算结果的矛盾,并采用实际感潮河段的计算结果揭示了问题的原因。考虑潮水波动能对水流的驱动作用,创建了以潮水波内动能转化的驱动力微分模型,改进了圣维南方程模型结构,采用长江河口段水流资料进行了模拟检验,初步验证表明,改进的模型较好地解决了圣维南方程在感潮河段水流模拟应用存在的问题,且模拟精度也有较大提高。 相似文献
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基于有限体积法及FDS格式的感潮河段二维泥沙冲淤模型 总被引:3,自引:0,他引:3
本文以木兰溪下游裁弯河段为例,建立了有限体积法的水平二维非恒定流均匀沙不平衡输移计算模型。采用黎曼近似解通量差分裂(FDS)格式计算通过各单元边的水流、含沙量法向数值通量,并应用相关的悬移质、推移质河床变形计算公式计算冲淤变化。数值模型经相应的河工模型试验资料率定、检验后,预测了裁弯工程建成后河道可能的冲淤变化,为工程设计和施工提供依据。 相似文献
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感潮河段洪潮耦合双驱动力水动力模型 总被引:2,自引:1,他引:1
分析了感潮河段水流运动特点和感潮河段上下边界水力作用要素差异,在完整感潮河段概念和完整感潮河段上下边界的特殊水流边界条件下,把水流水力要素分离为洪水要素和潮水要素,提出洪水水流要素和潮水水流要素耦合模拟的双驱动力水动力模型,利用长江河口感潮河段实际水流过程进行了模拟检验,获得了比圣维南方程组更合理、模拟效果更好的结果,并指出了进一步需要重点研究的问题。 相似文献
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基于三角形网格的浅水间断流动泥沙输移数值模拟 总被引:3,自引:0,他引:3
浅水间断流动条件下泥沙输移具有广阔的工程应用背景.采用基于准确Riemann解的Godunov格式求解法向数值通量,应用干底Riemann解计算动边界问题,建立了基于无结构三角形网格空间二阶精度的二维水流和泥沙输移有限体积法数值模型.模型在纯对流问题检验的基础上,模拟了孤立波在滩面上传播变形以及对圆柱周围的局部冲刷,复演了孤立波变形后流场和泥沙场突变的过程,并且圆柱周围局部冲刷坑计算结果与实验基本吻合. 相似文献
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为更好地了解长江感潮河段的底床阻力特性,在实测资料的基础上,结合流速对数分布的假设及谢才公式和曼宁公式给出了适合长江梅子洲河段(感潮河段)糙率的计算公式,并将公式加入到二维有限元水动力数学模型HSCTM中。数值计算的水位、流速及流场均显示了糙率公式的合理性;从尼库拉兹实验出发结合希夫林松的阻力公式从理论上探讨了摩阻流速和糙率高度之间的关系,并采用长江感潮河段的实测资料印证了两者之间存在间接的线性关系。 相似文献
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NUMERICAL SIMULATION FOR 2D SHALLOW WATER EQUATIONS BY USING GODUNOV-TYPE SCHEME WITH UNSTRUCTURED MESH 总被引:9,自引:8,他引:1
PAN Cun-hong DAI Shi-qiang CHEN Sen-mei 《水动力学研究与进展(B辑)》2006,18(4):475-480
1. INTRODUCTION In general, the geometry of natural water areas, such as rivers, coasts and lakes, is irregular, so that the application of mathematical models with structured mesh is quite limited and the accuracy could not be ensured especially as the m… 相似文献
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Lai Jihn-sung 《水动力学研究与进展(B辑)》2003,15(4)
1 . INTRODUCTIONSincethe 1990’s ,severalhigh resolutionschemesadoptedintheaerodynamicsfieldhavebeenappliedtodepth averagedtwo dimensional(2D)flowsimulation (Tan 1992 ,Alcrudo 1993andZhaoetal .1994a ,1996 ) .Someofthem ,suchastheOsherandFluxVectorSplitting (FVS )schemes,havebeenimprovedtoestimatethenu mericalfluxacrosstheinterfacebetweencellsinthe 2Dcoupledflow pollutantmodel (Qietal.1998andZhaoetal.1994b ,2 0 0 0 ,2 0 0 2 ) .Thehigh resolutioncharacteristic basedupwindFulxDifferen… 相似文献
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A 2-D Finite Volume Model (FVM) is developed for shallow water flows over a complex topography with wetting and drying processes. The numerical fluxes are computed using the Harten, Lax, and van Leer (HLL) approximate Riemann solver. Second-order accuracy is achieved by employing the MUSCL reconstruction method with a slope limiter in space and an explicit two-stage Runge-Kutta method for time integration. A simple and efficient method is introduced to deal with the wetting and drying processes without any correction of the numerical flux term or the source term. In this new method, a switch of alternative schemes is used to compute the water depths at the cell interface to obtain the numerical flux. The model is verified against benchmark tests with analytical solutions and laboratory experimental data. The numerical results show that the model can simulate different types of flood waves from the ideal flood wave to cases over complex terrains. The satisfactory performance indicates an extensive application prospect of the present model in view of its simplicity and effectiveness. 相似文献
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Finite Volume Method (FVM) which can solve fluid problems effectively is used in this paper. Gauss theorem is used to transfer volume integration to area integration , by which the relation formula of the nodes around each element is founded based on the constancy of the flux into and out of the element. With that the discrete equations are obtained. This method with free cubic element is applied in 3D seepage and tidal flow problems. From the practice it can be found that seepage flux is more accurate than FEM and FVM also has the advantages of good stability, convenience of solving. easy programming, less computing time and storage. 相似文献
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求解二维浅水流动方程的Godunov格式 总被引:28,自引:11,他引:17
采用网格变换和Strang算子分裂,以准确Riemann解为基础。建立了求解非平底浅水流动方程的Godunov格式,用“水位方程法(Water Level Formulation)”求Riemann解,结合中心差分和Riemann解离散底坡项,保证了计算格式的和谐性,经验证,方法健全。通用,且分辨率高。 相似文献
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浅水动边界的干底Riemann解模拟 总被引:7,自引:4,他引:3
浅水动边界(干湿边界)问题具有广阔的工程应用背景,准确模拟动边界条件下的间断流动,并保证水量守恒是动边界计算的最大困难.论文针对有限体积法,应用能模拟间断流的干底准确Riemann解求解干、湿单元界面的数值通量.模型在动边界条件下静水、溃坝波和水面自由振荡等算例检验的基础上,应用到实际水库的溃坝波模拟.结果表明该方法能准确模拟动边界条件下的间断流动,具有稳定性好、精度高、水量守恒等优点. 相似文献
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HUANG yong ZHOU Zhi-fang College of Civil Engineering Hohai University Nanjing China YU zhong-bo State Key Laboratory of Hydrology-Water Resources Hydraulic Engineering Nanjing China 《水动力学研究与进展(B辑)》2010,22(1):129-136
The discrete version of solute transport equation for porous matrix depicted with the continuum model and the discrete fractured-network model are derived for fractured rocks with the Finite Volume Method(FVM).The two models are coupled according to the continuity condition of hydraulic head and concentration and the conservation of flow flux and mass flux in the contact plane between porous matrix and fractures.Numerical results show that the simulated concentration of the coupling model based on the FVM a... 相似文献