基于间断有限元方法的三维近岸波生流数值模型建立

在三维水动力模型中引入三维辐射应力,水滚影响以及波浪附加紊动效应,并基于间断有限元方法建立了非结构化网格三维波生流数值模型。采用实验室内斜坡地形条件下正向入射波在破波带附近产生的近底回流和斜向入射波产生的沿岸流对模型进行了验证。结果表明,计算值与实测值吻合程度较好,该模型可以较好地描述三维近岸波生流。     

超高阶地球重力场模型的高程异常优化算法

通过分析比较标准前向列推、标准前向行推、跨阶次递推和Belikov列推4种缔合勒让德递推算法的精度、稳定性以及计算速度,提出了选取Belikov列推法来解算超高阶重力场模型高程异常;研究探讨了基于严密球谐级数展开、保留泰勒级数展开的零阶项和保留至泰勒级数展开一阶项计算模型高程异常的三种算法,并进行了实验计算分析。结果表明,保留至泰勒级数一阶项的模型高程异常既能保证计算速度也能达到足够的精度,可满足大区域高分辨率高程异常建模的需求。     

A meshless method for axisymmetric problems in continuously nonhomogeneous saturated porous media

A meshless method based on the local Petrov–Galerkin approach is proposed to analyze 3-d axisymmetric problems in porous functionally graded materials. Constitutive equations for porous materials possess a coupling between mechanical displacements for solid and fluid phases. The work is based on the u–u formulation and the incognita fields of the coupled analysis in focus are the solid skeleton displacements and the fluid displacements. Independent spatial discretization is considered for each phase of the model, rendering a more flexible and efficient methodology. Both displacements are approximated by the moving least-squares (MLS) scheme. The paper presents in the first time a general meshless method for the numerical analysis of axisymmetric problems in continuously nonhomogeneous saturated porous media. Numerical results are given for boreholes in continuously nonhomogeneous porous medium with prescribed misfit and exponential variation of material parameters in the excavation zone.