This paper presents a theoretical analysis for laminar boundary layer flow in a power law non-Newtonian fluids. The Adomian analytical decomposition technique is presented and an approximate analytical solution is obt...This paper presents a theoretical analysis for laminar boundary layer flow in a power law non-Newtonian fluids. The Adomian analytical decomposition technique is presented and an approximate analytical solution is obtained. The approximate analytical solution can be expressed in terms of a rapid convergent power series with easily computable terms. Reliability and efficiency of the approximate solution are verified by comparing with numerical solutions in the literature. Moreover, the approximate solution can be successfully applied to provide values for the skin friction coefficient of the laminar boundary layer flow in power law non-Newtonian fluids.展开更多
This paper presents a high order multiplication perturbation method for sin- gularly perturbed two-point boundary value problems with the boundary layer at one end. By the theory of singular perturbations, the singula...This paper presents a high order multiplication perturbation method for sin- gularly perturbed two-point boundary value problems with the boundary layer at one end. By the theory of singular perturbations, the singularly perturbed two-point boundary value problems are first transformed into the singularly perturbed initial value problems. With the variable coefficient dimensional expanding, the non-homogeneous ordinary dif- ferential equations （ODEs） are transformed into the homogeneous ODEs, which are then solved by the high order multiplication perturbation method. Some linear and nonlinear numerical examples show that the proposed method has high precision.展开更多
改进的奇异值分解(advanced singular value decomposition,ASVD)方法,是对经过空间均匀化订正的格、站点网资料的奇异值分解(singular value decomposition,SVD)方法。根据奇异向量与经验正交函数(empirical orthogonal function,EOF)...改进的奇异值分解(advanced singular value decomposition,ASVD)方法,是对经过空间均匀化订正的格、站点网资料的奇异值分解(singular value decomposition,SVD)方法。根据奇异向量与经验正交函数(empirical orthogonal function,EOF)的关系,给出了格、站点网资料SVD方法中均匀化订正的方法,进而得到了改进的奇异值分解(ASVD)方法。将ASVD方法、SVD方法用于中国60a(1951—2010年)160站冬季气温、降水同期相关系数矩阵C的分析,结果表明:ASVD方法的前4个主要模态的模方拟合率和累积模方拟合率均明显高于SVD方法;ASVD方法前两个奇异向量典型场图上高绝对值区与C模方图上高值区的关系明显较SVD方法合理。由此论证了SVD方法中资料均匀化订正的必要性,验证了实际分析中ASVD方法的效果。展开更多
基金the Science Foundation of North China Electric Power University(No.93210706)
文摘This paper presents a theoretical analysis for laminar boundary layer flow in a power law non-Newtonian fluids. The Adomian analytical decomposition technique is presented and an approximate analytical solution is obtained. The approximate analytical solution can be expressed in terms of a rapid convergent power series with easily computable terms. Reliability and efficiency of the approximate solution are verified by comparing with numerical solutions in the literature. Moreover, the approximate solution can be successfully applied to provide values for the skin friction coefficient of the laminar boundary layer flow in power law non-Newtonian fluids.
基金supported by the National Natural Science Foundation of China(Key Program)(Nos.11132004 and 51078145)
文摘This paper presents a high order multiplication perturbation method for sin- gularly perturbed two-point boundary value problems with the boundary layer at one end. By the theory of singular perturbations, the singularly perturbed two-point boundary value problems are first transformed into the singularly perturbed initial value problems. With the variable coefficient dimensional expanding, the non-homogeneous ordinary dif- ferential equations （ODEs） are transformed into the homogeneous ODEs, which are then solved by the high order multiplication perturbation method. Some linear and nonlinear numerical examples show that the proposed method has high precision.
文摘改进的奇异值分解(advanced singular value decomposition,ASVD)方法,是对经过空间均匀化订正的格、站点网资料的奇异值分解(singular value decomposition,SVD)方法。根据奇异向量与经验正交函数(empirical orthogonal function,EOF)的关系,给出了格、站点网资料SVD方法中均匀化订正的方法,进而得到了改进的奇异值分解(ASVD)方法。将ASVD方法、SVD方法用于中国60a(1951—2010年)160站冬季气温、降水同期相关系数矩阵C的分析,结果表明:ASVD方法的前4个主要模态的模方拟合率和累积模方拟合率均明显高于SVD方法;ASVD方法前两个奇异向量典型场图上高绝对值区与C模方图上高值区的关系明显较SVD方法合理。由此论证了SVD方法中资料均匀化订正的必要性,验证了实际分析中ASVD方法的效果。
基金国家自然科学基金No.61701388+13 种基金教育部归国留学人员科研扶持项目No.K05055陕西省自然科学基础研究计划项目No.2016JM60792016年碑林区科技计划项目No.GX1605陕西省教育厅专项No.17JK0431The National Natural Science Foundation of China under Grant No.61701388the Scientific Research Foundation for the Returned Overseas Chinese ScholarsState Education Ministry of China under Grant No.K05055the Natural Science Basic Research Plan of Shaanxi Province under Grant No.2016JM6079the Science and Technology Project of Beilin District in 2016 under Grant No.GX1605the Special Item of Shaanxi Provincial Department of Education under Grant No.17JK0431
文摘壁画数字化修复工作极大降低了手工修复时带来的不可逆的风险。根据唐墓室壁画人工修复时先整体结构、后局部纹理的思路,提出一种基于形态学成分分析(morphological component analysis,MCA)分解的唐墓室壁画修复算法。首先结合唐墓室壁画的特点,采用改进的MCA方法进行图像分解,得到结构部分和纹理部分;然后根据图像分解后纹理和结构的复杂程度与稀疏程度,分别采用简化的全变分(total variation,TV)算法和K奇异值分解(K-singular value decomposition,K-SVD)算法进行修复。实验结果表明,该算法可兼顾纹理与结构的修复效果,唐墓室壁画中的裂缝现象的破损修复精度得到提高。
