共查询到20条相似文献，搜索用时 140 毫秒
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在波浪对海上建筑物绕射和辐射问题的计算中,面元法被广泛使用,但由于传统面元法的存储量和计算量均为未知量的平方量级,很难满足大范围多未知量问题的计算需要。采用预修正快速傅里叶变换方法(pFFT方法),使计算量与存储量都降低到未知量的线性量级。以淹没圆球与漂浮圆柱两个典型算例为基础,通过不同未知量时pFFT方法与传统面元法的计算量与存储量的对比,以及pFFT方法自身各步骤计算时间的对比,研究了不同网格方案的选取对pFFT方法计算量和存储量的影响,推荐根据未知量个数采用计算时间最小化原则选取pFFT网格参数。 相似文献
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深水中波浪与弱流对结构物的作用 总被引：4，自引：0，他引：4
对于深水中波浪和弱流对三维结构物的作用问题,本文提出了一个适用于高阶边界元应用的新的积分方程.基于小流速下格林函数和速度势的摄动展开,本方法避免了移动脉动源的计算,并将未知量限制在物体表面上,使计算速度大为提高,高阶边界元中的不同类型的柯西主值积分,分别采用间接和直接方法加以计算. 相似文献
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比例边界有限元法(SBFEM)是一种半解析的数值方法,比完全数值方法具有更高的精度,该方法结合了有限元和边界元的优点,采用相对少的剖分单元就可以得到较高精度的模拟结果。通过改变有限子域内部比例中心的位置,使这种方法可以应用到多种形式浮体在波浪作用下的水动力特性的计算中。同时还给出了各种形式浮体的波浪力及反射、透射系数的数值结果,并与边界元方法(BEM)计算结果和特征函数展开方法得到解析解进行了比较,均吻合良好。研究表明比例边界有限元不仅可以计算矩形的浮体结构,而且对于多种结构形式的浮体都可以计算,这为多种结构形式浮体的水动力分析提供了一个可行的方法。 相似文献
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潮滩海域边界适应网格潮流数值模型 总被引：1，自引：0，他引：1
在河口潮滩海域水动力学问题的计算中，为了模拟复杂的地形和岸形，最好采用边界适应坐标和小空间步长的高分辨率计算网格。由此带来的问题是，在非正交的边界适应坐标系中，如果继续采用直角坐标系中的速度分量做为求解未知量，不但给方程组的隐式求解带来困难，而且使潮滩上海水漫滩的干湿格点判断准则变得十分繁琐。本文导出了任意曲线坐标系下普遍适用的速度逆变张量和水位所满足的动力学方程组，从而实现了非正交曲线坐标系下交替方向隐式差分格式，使得在高分辨率的边界适应网格中，仍可采用大时间步长进行计算。速度逆变张量方程的导出同时给潮滩上动边界的实现带来了方便。文中通过数值试验，针对模型的稳定性和精确性与以往显式的适应性网格模型做了详尽的比较研究，从而证实该模型是一种研究河口潮滩动力学问题精确而高效的数值计算模型。 相似文献
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边界元方法(BEM)是近代计算力学中的一种高效数值方法。由于采用相应的边界积分方程,使处理的问题减少了一维,从而给出的方程组就小得多,要求输入的数据也就大大地减少了,而所得结果的精度却高于有限元法。因此边界元法对于所谓的“区域法”,例如有限差分法(FDM)和有限元法(FEM)具有很强的竞争能力。 大量应用表明:边界元法与有限元法相比,不仅经济、易于使用,而且在许多工程领域,包括某些海洋参数的数值分析和预报方面都是很有发展前途的。 本文首先介绍了边界元方法的基本思想、数学原理和实施步骤,然后分别说明如何将这种方法用于更复杂的、非线性的、依时的问题。最后将讨论边界元法在一般粘性流体流动中的应用。 相似文献
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非线性波浪波面追踪的一种新模式 总被引：1，自引：0，他引：1
基于Laplace方程的Green积分表达式和波面BemouUi方程所建立的非线性波动数学模型，是一个时域上具有初始值的边值问题，而精确地追踪自由表面的波动位置，给出波面运动瞬时的波面高度和波面势函数，是建立时域内非线性波浪数值模式的基础。本文采用0-1混合型边界元剖分计算域边界并离散Laplace方程的Green积分表达式，采用有限元剖分自由水面并推导满足自由表面非线性边界条件的波面有限元方程，联立计算域内以节点波势函数和波面位置高度的时间增量为未知量的线性方程组，通过时步内的循环迭代，给出每个时步上的波面位置和波面势函数，从而建立了一种新的非线性波浪波面追踪模式。数值造波水槽内的波浪试验表明，其数值模拟结果具有良好的计算精度。 相似文献
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管道冲刷暴发临界条件是海底管道设计和运营的重要参数。Sumer等给出了3个Keulegan-Carpenter(KC)数的波浪作用下冲刷暴发的试验曲线。但对于任意KC数,Sumer等的方法并不准确。因此,建立波浪作用下冲刷暴发条件计算方法,具有重要意义。因管道与床面相交形成了复杂的几何形状,管道与床面的交叉点是数值奇点,因而管道冲刷暴发临界条件计算较为复杂。本研究采用边界元方法计算波浪运动及渗流压力。边界元可准确地拟合海底与管壁边界,方便地处理管道与海床交叉点的数值奇点问题,并可直接计算出奇点处的垂向压力梯度,准确地计算冲刷暴发的临界条件。本研究计算结果与实测值符合良好。 相似文献
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浮式生产储油船振动噪声混合数值预报 总被引：4，自引：0，他引：4
建立了可覆盖全频域的浮式生产储油船(FPSO,floating production storage and offloading)工作环境下振动噪声混合数值预报技术流程。将声学计算基本理论方法(有限元/边界元方法与统计能量法)应用于宽频带多噪声源的海洋工程船舶设计中,为设计能保证人员正常进行生产、生活噪声环境下的FPSO提供指导,满足国内船舶设计部门对该技术的迫切需要。文中采用声学边界元求解了FPSO上层建筑低中频域振动噪声,采用统计能量分析方法求解了高频域振动噪声,通过两种方法接力运用和不同模型间的顺利转换,实现了FPSO声学问题全频域分析。并讨论了各类方法的适用范围。 相似文献
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A fast multipole boundary element method for three-dimensional potential flow problems 总被引：2，自引：0，他引：2
A fast multipole methodology (FMM) is developed as a numerical approach to reduce the computational cost and memory requirements in solving large-scale problems. It is applied to the boundary element method (BEM) for three-dimensional potential flow problems. The algorithm based on mixed multipole expansion and numeric, al integration is implemented in combination with an iterative solver. Numerical examinations, on Dirichlet and Neumann problems, are carried out to demonstrate the capability and accuracy of the present method. It has been shown that the method has evident advantages in saving memory and computing time when used to solve huge-scale problems which may be prohibitive for the traditional BEM implementation. 相似文献
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Extension of the Frequency-Domain pFFT Method for Wave Structure Interaction in Finite Depth 总被引：1，自引：0，他引：1
To analyze wave interaction with a large scale body in the frequency domain, a precorrected Fast Fourier Transform (pFFT) method has been proposed for infinite depth problems with the deep water Green function, as it can form a matrix with Toeplitz and Hankel properties. In this paper, a method is proposed to decompose the finite depth Green function into two terms, which can form matrices with the Toeplitz and a Hankel properties respectively. Then, a pFFT method for finite depth problems is developed. Based on the pFFT method, a numerical code pFFT-HOBEM is developed with the discretization of high order elements. The model is validated, and examinations on the computing efficiency and memory requirement of the new method have also been carried out. It shows that the new method has the same advantages as that for infinite depth. 相似文献
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A composite numerical model is presented for computing the wave field in a harbor. The mild slope equation is discretized by a finite element method in the domain concerned. Out of the computational domain, the water depth is assumed to be constant. The boundary element method is applied to the outer boundary for dealing with the infinite boundary condition. Because the model satisfies strictly the infinite boundary condition, more accurate results can be obtained. The model is firstly applied to compute the wave diffraction in a narrow rectangular bay and the wave diffraction from a porous cylinder. The numerical results are compared with the analytical solution, experimental data and other numerical results. Good agreements are obtained. Then the model is applied to computing the wave diffraction in a square harbor with varying water depth. The effects of the water depth in the harbor and the incoming wave direction on the wave height distribution are discussed. 相似文献
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A composite numerical model is presented for computing the wave field in a harbor. The mild slope equation is discretized by a finite element method in the domain concerned. Out of the computational domain, the water depth is assumed to be constant. The boundary element method is applied to the outer boundary for dealing with the infinite boundary condition. Because the model satisfies strictly the infinite boundary condition, more accurate results can be obtained. The model is firstly applied to compute the wave diffraction in a narrow rectangular bay and the wave diffraction from a porous cylinder. The numerical results are compared with the analytical solution, experimental data and other numerical results. Good agreements are obtained. Then the model is applied to computing the wave diffraction in a square harbor with varying water depth. The effects of the water depth in the harbor and the incoming wave direction on the wave height distribution are discussed. 相似文献
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A wave transformation model (RIDE) was enhanced to include the process of wave breaking energy dissipation in addition to water wave refraction, diffraction, reflection, shoaling, bottom friction, and harbor resonance. The Gaussian Elimination with partial Pivoting (GEP) method for a banded matrix equation and a newly developed bookkeeping procedure were used to solve the elliptic equation. Because the bookkeeping procedure changes the large computer memory requirements into a large hard-disk-size requirement with a minimum number of disk I/O, the simple and robust GEP method can be used in personal computers to handle realistic applications. The computing time is roughly proportional to N1.7, where N is the number of grid points in the computing domain. Because the GEP method is capable of solving many wave conditions together (limited by having the same wave period, no bottom friction and no breaking), this model is very efficient compared to iteration methods when simulating some of the wave transformation process. 相似文献
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The scaled boundary finite element method （SBFEM） is a novel semi-analytical technique combining the advantage of the finite element method （FEM） and the boundary element method （BEM） with its unique properties. In this paper, the SBFEM is used for computing wave passing submerged breakwaters, and the reflection coeffcient and transmission coefficient are given for the case of wave passing by a rectangular submerged breakwater, a rigid submerged barrier breakwater and a trapezium submerged breakwater in a constant water depth. The results are compared with the analytical solution and experimental results. Good agreement is obtained. Through comparison with the results using the dual boundary element method （DBEM）, it is found that the SBFEM can obtain higher accuracy with fewer elements. Many submerged breakwaters with different dimensions are computed by the SBFEM, and the changing character of the reflection coeffcient and the transmission coefficient are given in the current study. 相似文献
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In this paper, based on the linear wave theory, the interaction of short-crested waves with a concentric dual cylindrical system with a partially porous outer cylinder is studied by using the scaled boundary finite element method (SBFEM), which is a novel semi-analytical method with the advantages of combining the finite element method (FEM) with the boundary element method (BEM). The whole solution domain is divided into one unbounded sub-domain and one bounded sub-domain by the exterior cylinder. By weakening the governing differential equation in the circumferential direction, the SBFEM equations for both domains can be solved analytically in the radial direction. Only the boundary on the circumference of the exterior porous cylinder is discretized with curved surface finite elements. Meanwhile, by introducing a variable porous-effect parameter G, non-homogeneous materials caused by the complex configuration of the exterior cylinder are modeled without additional efforts. Comparisons clearly demonstrate the excellent accuracy and computational efficiency associated with the present SBFEM. The effects of the wide range wave parameters and the structure configuration are examined. This parametric study will help determine the various hydrodynamic effects of the concentric porous cylindrical structure. 相似文献
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《Applied Ocean Research》2005,27(4-5):224-234
The modified scaled boundary finite-element method (SBFEM), keeping the advantages of the original SBFEM, eliminates the restriction of the scaling center location so that this approach can solve two-dimensional problems with parallel side-faces. In this paper, the modified SBFEM is applied to solutions of two types of problems—wave diffraction by a single and twin surface rectangular obstacles and wave radiation induced by an oscillating mono-hull and twin-hull structures in a finite depth of water. For wave diffraction problems, numerical results agree extremely well with the analytic solution for the single obstacle case and other numerical results of a different approach for the twin obstacle case. For wave radiation problems, the particular solutions to the scaled boundary finite-element equation are presented for cases of heave, sway and roll motions. The added mass and damping coefficients for heave, sway and roll motions of a two-dimensional rectangular container are computed and the numerical results are compared with those from independent analytical solution and numerical solution using the boundary element method (BEM). It is found that the SBFEM method achieves equivalent accuracy to the conventional BEM with only a few degrees of freedom. In the last example, wave radiation by a two-dimensional twin-hull structure is analyzed. Comparisons of the results with those obtained using conventional Green's function method (GFM) demonstrate that the method presented in this paper is free from the irregular frequency problems. 相似文献
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An effective boundary element method (BEM) is presented for the interaction between oblique waves and long prismatic structures in water of finite depth. The Green's function used here is the basic Green's function that does not satisfy any boundary condition. Therefore, the discretized elements for the computation must be placed on all the boundaries. To improve the computational efficiency and accuracy, a modified method for treatment of the open boundary conditions and a direct analytical approach for the singularity integrals in the boundary integral equation are adopted. The present BEM method is applied to the calculation of hydrodynamic coefficients and wave exciting forces for long horizontal rectangular and circular structures. The performance of the present method is demonstrated by comparisons of results with those generated by other analytical and numerical methods. 相似文献
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The coupled finite element and boundary element analysis of nonlinear interactions between waves and bodies 总被引：1，自引：0，他引：1
A coupled finite element (FEM) and boundary element (BEM) method is developed to analyse the nonlinear interaction between bodies and water waves. The former is used away from the body while the latter is used in a region near body. The combination is based on consideration of the efficiency of FEM and BEM in computation and mesh generation, respectively. Results for wave/body interactions are obtained by using auxiliary functions to decouple the mutual dependence of the body acceleration and the wave force. 相似文献