欢迎您！东篱公司
退出
-
申报数据库
-
立项数据库
-
成果数据库
-
项目获奖数据库
中文摘要：
采用边界节点法（BKM）结合双重互易法（DRM）求解二维瞬态热传导问题．采用差分格式处理时问变量，可将原瞬态热传导方程转化为一系列非齐次修正的Helmholtz方程．随后，方程的解可分为特解和齐次解两部分计算，引入双重互易法在区域内部配点求解方程的特解，采用边界节点法仅需边界配点求解方程的齐次解．给出的数值算例显示该方法计算精度高，适用性好，具有很好的稳定性和收敛性，适合求解瞬态热传导问题．
英文摘要：
The boundary knot method （BKM） in conjunction with the dual reciprocity method （DRM） was introduced to solve 2D transient heat conduction problems. With the finite differ- ence scheme applied to deal with the time derivative term, the transient heat conduction equa- tion was converted to a set of nonhomogeneous modified Helmholtz equations. Then the numer- ical solution to the nonhomogeneous problems was divided into two parts： the particular solu- tion and the homogeneous solution. The DRM with few inner interpolation nodes was employed to get the particular solution, and the BKM with boundary-only nodes used to obtain the homo- geneous solution. Numerical results show that the present combined method has the merits of high accuracy, wide applicability, good stability and rapid convergence, which were appealing to solving transient heat conduction problems.
同期刊论文项目
同项目期刊论文
Stress analysis for thin multilayered coating systems using a sinh transformed boundary element meth
Three Boundary Meshless Methods for Heat Conduction Analysis in Nonlinear FGMs with Kirchhoff and La
A new formulation of regularized meshless method applied to interior and exterior anisotropic potent
A meshless singular boundary method for three-dimensional inverse heat conduction problems in genera
Method of fundamental solutions without fictitious boundary for plane time harmonic linear elastic a
A Matlab toolbox forpositive fractional time derivative modeling of arbitrarily frequency-dependentv
Fast multipole accelerated singular boundary method for the 3D Helmholtz equation in low frequency r
Modeling Study of the Valid Apparent Interface Thickness in Particulate Materials with Ellipsoidal P
Two general algorithms for nearly singular integrals in two dimensional anisotropic boundary element
Robust Synchronization of Incommensurate Fractional-Order Chaotic Systems via Second-Order Sliding M
The sinh transformation for evaluating nearly singular boundary element integrals over high-order ge
A variable-order time-fractional derivative model for chloride ion sub-diffusion in concrete structu
Numerical treatment of acoustic problems with boundary singularities by the singular boundary method
The singular boundary method: Mathematical background and application in orthotropic elastic problem
Differential Quadrature and Cubature Methods for Steady-State Space-Fractional Advection-Diffusion E
A Matlab toolbox for positive fractional time derivative modeling of arbitrarily frequency-dependent
A BEM formulation in conjunction with parametric equation approach for three-dimensional Cauchy prob
The singular boundary method for steady-state nonlinear heat conduction problem with temperature-dep
A new definition of fractional Laplacian withapplication to modeling three-dimensional nonlocal heat
A variable-ordertime-fractional derivative model for chloride ions sub-diffusion in concretestructur
Differential Quadrature andCubature Methods for Steady-State Space-Fractional Advection-DiffusionEqu
Homotopy Method forParameter Determination of Solute Transport with FractionalAdvection-dispersion E
Characterization of space-dependent thermal conductivity for nonlinear functionally graded materials
Solutions of 2D and 3D non-homogeneous potential problems by using a boundary element-collocation me
Use of a variable-index fractional-derivative model to capture transient dispersion in heterogeneous
Prediction of transport behaviors of particulate composites considering microstructures of soft inte
Method of approximate particular solutions for constant- and variable-order fractional diffusion mod
期刊信息
位置：