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In this paper, the major factors which have effects on the numerical convergence includ the inner distance of the sources submersed into the body surface, the distance moved upward above the mean free-surface, the computing range of free surface, and the collocation point interval.

本文选取足够的自由面计算范围和边界配置点数量,讨论了物面内潜深度和自由面上提升高度对计算结果收敛的影响,并建议了内潜距离的计算表达式,获得了一致收敛的数值解。

An analytical expression is applied to compute the free-surface velocity derivatives and a collocation point shift method is introducedto enforce the radiation condition.

在考虑线性自由表面边界条件时,自由表面速度导数以解析的方法计算,为了满足自由表面辐射条件,自由表面奇点面元相对于其配置点向下游错位并被上置一定距离。

Raised panels above the free surface produce less numerical dispersion error, need less CPU consumption and are helpful, combined with collocation point shifting upstream, for satisfying the radiation condition numerically.

该方法对自由面源强分布采用上置,一方面可减少数值计算色散误差及节省CPU时间,另一方面它与配置点前移相互配合能更好地保证辐射条件的满足。

The nonsingular integrals are popularly calculated by the Gauss numerical integral, and they are low in precision when the source points approach the element, and the singular integrals are complex.

非奇异积分一般采用数值积分,当配置点接近积分单元时,计算精度较低,奇异积分的计算也很复杂。

Similarly, numerical experiments are performed to demonstrate the efficiency and efficacy of the geodesic distance based MFS for piecewise smooth domain. In addition, the effect of the number of collocation points and the stability with respect to the anisotropy are discussed.In Appendix A.

在后面同样给出了数值例子以说明方法的优越性,不同的是这里考察了分片光滑的几何区域,并加上了配置点数目对数值结果的影响以及该方法对各向异性的稳定性分析。

The first part gives some basic introduction to the meshless methods of Partial Differential equation.

第一部分给出了偏微分方程数值解的无网格方法,特别介绍了以径向基函数插值为基础的配置点法。

Following this direction of thought, the authors suppose that all the points in the area will be the candidate for name placement, and each point will generate a Voronoi diagram with the border of area feature.

本文认为面状注记配置的实质是2维符号的"降维处理",亦即使用低维符号(0维配置点或1维配置线)表达高维(2维)符号的主要特征。

The fourth aspect is about authentication protocols analysis in special systems. We gave out the security analysis of AKE protocol and reauthentication protocol in the POD copy protection specification. We also gave out the security analysis of AKE protocols in DTCP specification.

在特定系统中认证协议分析方面,给出了配置点拷贝保护系统中认证密钥交换协议和重新认证协议的安全分析;给出了数字电视拷贝保护规范中的完全认证协议的安全分析。

The reauthentication protocol in POD copy protectionspecification can not defend the protocol against a simplest replay attack. The AKE protocol in the specification has unwelcome security attributes on implementation. The AKE protocol in DTCP specification has the sender mismatching or receiver mismatching attributes, which can threat the integrity goal of DTCP system and may affect possible application scenarios.

指出配置点拷贝保护系统中的重新认证协议不能抵抗简单的重放攻击,其中的认证密钥交换协议具有实现上不受欢迎的安全属性;指出数字电视拷贝保护规范中的完全认证协议具有发送者失配或者接收者失配属性,这些属性会威胁该规范的完整性目标,并影响该规范可能的应用场景。

Second, compared with direct tensor product in multi-dimensional space, which suffers from the exponential increase of the number of sampling points with the number of variables, the Sparse Grid technique decreases the number of collocation points dramatically while the accuracy is guaranteed, and further reduces the computational complexity.

其次,为了避免通常用于多维空间的直接张量积随机配置法所带来的采点数随空间维度指数增长的缺点,采用稀疏网格采点技术,在保证建模精度的同时大幅度减少了配置点数目,从而进一步降低了随机配置法的计算复杂度。

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