共查询到20条相似文献，搜索用时 31 毫秒
1.
此文应用Fourier方法和能量不等式研究了常系数和变系数的对流扩散方程在迎风差分格式的情形下数值解的稳定性,所得结果对实际计算有着重要的意义。 相似文献
2.
A three-dimensional numerical model for determination of the interaction between non-linear water waves and a structure is developed. The model is based on a boundary integral equation method for the spatial solution of a potential theory problem, combined with a time-stepping method based on the fully non-linear free surface conditions for temporal updating of moments on a structure in the fluid domain. Comparison with experimental results shows good agreement. The present model is considered to be one of the steps towards a three-dimensional numerical model in which the wave-structure interaction in a wave tank can be simulated. 相似文献
3.
Feng Shizuo 《海洋学报(英文版)》1990,9(3):315-329
It is suggested that the shallow sea circulation should be related to the Lagrangian residual circulation but not to the conventional Eulerjan mean circulation, and further, the first order Lagrangian residual circulation-the mass-transport velocity field is used to define the steady circulation as the lowest order shallow sea circulation.The set of equation governing the shallow sea circulation is reformulated, which shows that there are no the so-called “tidal surface source” and the “tidal stress”. A vorticity equation for the stream function of horizontal transports is derived, which is easily solved by the conventional numerical methods.An intertidal convection-diffusion equation governing the concentration of conservative and passive tracer is derived. Differing from the conventional equation, the equation derived in the present paper reveals the Lagrangian convection and has no need to introduce the artificial hypothesis for the so-called “tidal dispersion”.The theory presented here is base 相似文献
4.
James R. Houston 《Applied Ocean Research》1981,3(4):163-170
A two-dimensional finite element numerical model is presented that calculates combined refraction and diffraction of short waves. The wave equation solved governs the propagation of periodic, small amplitude surface gravity waves over a variable depth seabed of mild slope. An efficient computational scheme is employed that allows the solution of practical problems that typically require large computational grids. Comparisons are presented between the finite element model calculations and an analytical solution, a two-dimensional numerical solution, a three-dimensional numerical solution, and measurements from a hydraulic model. 相似文献
5.
分步分层拟三维水流数学模型及其在廉州湾潮流计算中的应用 总被引：5，自引：0，他引：5
以Navier-Stokes方程为基础,经代数坐标变换导出模式方程,然后在该坐标系下将三维流场进行垂直分层,并在每一层内积分模式方程。在数值模拟求解方面,采用分步、特征差分近似与Galerkin集中质量有限元相结合的方法进行求解。在实际应用方面,对广西廉州湾潮流进行了三维模拟计算。 相似文献
6.
By coupling the three-dimensional hydrodynamic model with the wave model, numerical simulations of the three-dimensional wave-induced current are carried out in this study. The wave model is based on the numerical solution of the modified wave action equation and eikonal equation, which can describe the wave refraction and diffraction. The hydrodynamic model is driven by the wave-induced radiation stresses and affected by the wave turbulence. The numerical implementation of the module has used the finite-volume schemes on unstructured grid, which provides great flexibility for modeling the waves and currents in the complex actual nearshore, and ensures the conservation of energy propagation. The applicability of the proposed model is evaluated in calculating the cases of wave set-up, longshore currents, undertow on a sloping beach, rip currents and meandering longshore currents on a tri-cuspate beach. The results indicate that it is necessary to introduce the depth-dependent radiation stresses into the numerical simulation of wave-induced currents, and comparisons show that the present model makes better prediction on the wave procedure as well as both horizontal and vertical structures in the wave-induced current field. 相似文献
7.
Steady-state heat conduction problems arisen in connection with various physical and engineering problems where the functions satisfy a given partial differential equation and particular boundary conditions, have attracted much attention and research recently. These problems are independent of time and involve only space coordinates, as in Poisson's equation or the Laplace equation with Dirichlet, Neuman, or mixed conditions. When the problems are too complex, it is difficult to find an analytical solution, the only choice left is an approximate numerical solution. This paper deals with the numerical solution of three-dimensional steady-state heat conduction problems using the meshless reproducing kernel particle method (RKPM). A variational method is used to obtain the discrete equations. The essential boundary conditions are enforced by the penalty method. The effectiveness of RKPM for three-dimensional steady-state heat conduction problems is investigated by two numerical examples. 相似文献
8.
Dynamics of long spatial nonlinear waves in an ocean with a density jump and a gently sloping bottom
G. A. Khabakhpashev 《Oceanology》2008,48(4):457-465
This paper deals with the modeling of the propagation of three-dimensional gravitational perturbations of small but finite amplitudes in shallow two-layered water in basins with a gently sloping bottom. A single integral-differential evolution equation is derived that takes into account the long-wave contributions of the inertia of liquid layers and surface tension and the weak nonlinearity of the disturbances, as well as the nonstationary water shear srtess at the bottom. A numerical implementation of the model equation that allows us to adequately describe the processes considered is suggested. The transformations of spatial solitary perturbations in the pycnocline of basins with different bottom topographies are presented. 相似文献
9.
S. G. Demyshev 《Physical Oceanography》1992,3(4):293-298
A near-bottom pressure equation consistent with the original set of difference equations is derived in the framework of a numerical energetically-balanced model. The model is used to simulate numerically three-dimensional density and current velocity fields and in the Black Sea for a specific season. The climatic values of temperature, salinity, and tangential wind stress during summer are applied as the original conditions. Analysis of the hydrophysical fields at the final moment of integrating is performed. The difference between new data and data derived earlier is demonstrated.Translated by V. Puchkin. 相似文献
10.
11.
采用三维浅海湖波定解方程组,建立番禺附近海域的三维潮流数值模型来计算潮流和潮位变化情况,开边界采用调和常数计算的水位来驱动,潮流和潮位验证结果较好,模拟结果较真实的反应了番禺附近海域的潮流和潮位情况.在潮流模拟验证正确的前提下,建立溢油预测数值模型,采用欧拉-拉格朗日追踪方法,对油膜中心轨迹进行预测,并预测出油膜的平均... 相似文献
12.
Three-dimensional liquid sloshing in a tank with baffles 总被引：1，自引：0，他引：1
Dongming Liu 《Ocean Engineering》2009,36(2):202-52
A numerical model has been developed to study three-dimensional (3D) liquid sloshing in a tank with baffles. The numerical model solves the spatially averaged Navier-Stokes equations, which are constructed on a non-inertial reference frame having six degree-of-freedom (DOF) of motions. The large-eddy-simulation (LES) approach is employed to model turbulence by using the Smagorinsky sub-grid scale (SGS) closure model. The two-step projection method is employed in the numerical solutions, aided by the Bi-CGSTAB technique to solve the pressure Poisson equation for the filtered pressure field. The second-order accurate volume-of-fluid (VOF) method is used to track the distorted and broken free surface. The baffles in the tank are modeled by the concept of virtual boundary force (VBF) method. The numerical model is first validated against the available analytical solution and experimental data for two-dimensional (2D) liquid sloshing in a tank without baffles. The 2D liquid sloshing in tanks with baffles is then investigated. The numerical results are compared with other results from available literatures. Good agreement is obtained. Finally, the model is used to study 3D liquid sloshing in a tank with vertical baffles. The effect of the baffle is investigated and discussed. 相似文献
13.
14.
Due to their capability of correctly representing wave characteristics, the number of numerical models based on Navier–Stokes equation (NSE) models has recently increased remarkably. One of the key challenges of this type of wave model, however, is to minimize the wave re-reflection from the incident boundary. Many numerical techniques have been developed to deal with this problem, and previous studies have reported on internal wave makers that employ NSE. Research on generation and transformation of irregular waves using a three-dimensional NSE model, however, has begun very recently, and few studies have yet been reported. In this study, a three-dimensional numerical model was applied to generate irregular waves, and transformation of irregular waves was simulated in a numerical wave tank. The model was first verified by applying it to simple numerical tests in two dimensions. The model was then used to generate directional monochromatic and irregular waves in three dimensions. The numerical results were compared with the analytical solutions, and good agreement was observed. Finally, the model was applied to simulate the transformation of irregular waves over an uneven bottom geometry in a wave tank. 相似文献
15.
This paper presents the development and application of two-dimensional and three-dimensional oil trajectory and fate models for coastal waters. In the two-dimensional model, the oil slick is divided into a number of small grids and the properties of each grid due to spreading, advection, turbulent diffusion, evaporation and dissolution are studied. This model can predict the movement of the oil slick on the water surface. In order to simulate the distribution of oil particles in the water column, a three-dimensional oil fate model is developed based on the mass transport equation and the concentration distribution of oil particles can be solved. A comparison of numerical results with the observed data shows good conformity. 相似文献
16.
The three-dimensional numerical model with σ-coordinate transformation in the vertical direction is applied to the simulation of surface water waves and wave-induced laminar boundary layers. Unlike most of the previous investigations that solved the simplified one-dimensional boundary layer equation of motion and neglected the interaction between boundary layer and outside flow, the present model solves the full Navier–Stokes equations (NSE) in the entire domain from bottom to free surface. A non-uniform mesh system is used in the vertical direction to resolve the thin boundary layer. Linear wave, Stokes wave, cnoidal wave and solitary wave are considered. The numerical results are compared to analytical solutions and available experimental data. The numerical results agree favorably to all of the experimental data. It is found that the analytical solutions are accurate for both linear wave and Stokes wave but inadequate for cnoidal wave or solitary wave. The possible reason is that the existing analytical solutions for cnoidal and solitary waves adopt the first-order approximation for free stream velocity and thus overestimate the near bottom velocity. Besides velocity, the present model also provides accurate results for wave-induced bed shear stress. 相似文献
17.
18.
Sung Jin HONG Byung Ho CHOI Fumihiko IMAMURA 《中国海洋工程》2006,20(3):509-516
1 .Introduction In the present numerical analysis of a tsunami ,atwo-dimensional numerical model based on non-linear shallowwater theoryis mainly used (Aburaya and Imamura ,2002 ;Imamura ,1995 ; Goto andOgawa ,1992) .Thoughthis model representstsunami hei… 相似文献
19.
20.
沿岸海域三维斜压场的数值模拟——Ⅰ、渤海潮流数值计算 总被引：1，自引：0，他引：1
本文建立了渤海海域三维斜压场潮流模型。该模型考虑了热、盐效应及密度的空间变化,引入了计算网格无法分辨的湍运动能量,并以M_2分潮为例进行了计算,与实测值比较,获得了比较满意的结果。并对潮致欧拉余流垂直分量的空间变化进行了探讨。 相似文献