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 The finite analytic solution is derived for the steady, 2-D Naver-Stokes (N-S) equations in terms of vorticity-stream function. The local analytic solution to linearized N-S equations is improved to satisfy the compatible conditions on the corner nodes. 本文导出了以涡量-流函数表示的二维恒定Navier-Stokes(N-S)方程的有限分析解,并对原有的线性化N-S方程的局部解析解进行了改进,所得的解在四个角点上满足相容性条件. 短句来源 Because of the use of Green - function method to solve local analytic solution, its accuracy is increased. 由于使用格林函数法求局部解析解，提高了计算精度。 短句来源 A local analytic solution is derived from the differential equations about the deflection of the bending of plates. According to the idea of the finite analytic method, a numerical approach is introduced to calculate the bending of plates. 推导了薄板弯曲问题关于挠度w的四阶偏微分方程的局部解析解．根据有限分析法的思想，由局部解析解建立了薄板问题的一种数值方法，将该方法与加权残数法结合，可以处理任意几何边界和支承条件的薄板弯曲问题． 短句来源 It proved that under the well posed boundary condition, the equations exists unique local analytic solution. 并证明了在适定边界条件下 ,存在唯一的局部解析解 . 短句来源 The basic idea of FAEM is the incorporation of local analytic solution of the governing equation in the finite element method. A local analytical solution satisfying its node conditions is found in each element and is used for determining the shape functions. 为克服这一困难，提出一种新的“有限解析单元法”，其基本思想是：在单元内构造满足节点条件的局部解析解或局部近似解析解作为形状函数，使用加权余数法建立有限元方程。 短句来源 更多 “local analytic solution”译为未确定词的双语例句
 Existence and uniqueness of local analytic solution of the partial differential equations |k i| ux k i =A i(x,u,..., |α| ux α) (i=1,...,r, x=(x 1,...,x m),|α|=α 1+...+α m). 把柯西 -柯尔列夫斯卡娅定理推广到如下偏微分方程组 : | ki| u xki =Ai( x,u,… , |α| u xα )( i =1,… ,r,　 x =( x1 ,… ,xm) ,|α| =α1 +… +αm) . 短句来源 相似匹配句对
 On the analytic property of local resolvent 关于局部豫解式的解析性 短句来源 The Existence of Local Analytic Solutiotns of the Iterated Equations 迭代方程λ_if~i(z)=F(z)局部解析解的存在性 短句来源 The results of local average method are tested by the analytic solution. 为了检验局部平均法的准确程度，还给出了相应的解析解。 短句来源 LOCAL ANESTHETICS 局麻药 短句来源 Local News 本地要闻 短句来源 查询“local analytic solution”译词为用户自定义的双语例句

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 The symmetry of the solution and the form of the local analytic solution then show that π/n scattering is realized. The finite analytic solution is derived for the steady, 2-D Naver-Stokes (N-S) equations in terms of vorticity-stream function. The local analytic solution to linearized N-S equations is improved to satisfy the compatible conditions on the corner nodes. Using the finite analytic method (FAM), numerical solutions for the laminar flow over a plane symmetric sudden expansion are obtained. Four expasion ratios 2.2:1, 2.0:1, 1.8:1, 1.6:1 are computed with uniform grid sizes of 0.2 in both x and... The finite analytic solution is derived for the steady, 2-D Naver-Stokes (N-S) equations in terms of vorticity-stream function. The local analytic solution to linearized N-S equations is improved to satisfy the compatible conditions on the corner nodes. Using the finite analytic method (FAM), numerical solutions for the laminar flow over a plane symmetric sudden expansion are obtained. Four expasion ratios 2.2:1, 2.0:1, 1.8:1, 1.6:1 are computed with uniform grid sizes of 0.2 in both x and y directions. The problem of the asymmetric flow in the symmetric zone is also discussed. Several empirical formulas are presented for engineering reference, e.g. the formulas of eddy length, the attenuating process of velocity along the centerline, the transition distance, etc., after the plane symmetric sudden expansion, 本文导出了以涡量-流函数表示的二维恒定Navier-Stokes(N-S)方程的有限分析解,并对原有的线性化N-S方程的局部解析解进行了改进,所得的解在四个角点上满足相容性条件.对放大比为2.2:1, 2.0:1, 1.8:1, 6:1的平面突然放大问题,采用边长为0.2的正方形网格,求得了有限分析法的数值解,并研究了对称区域的不对称流问题.根据计算结果,给出了几组拟合经验公式,即平面对称放大后的旋涡长度、中心线流速的衰减变化及过渡段长度公式等. In this paper the boundary-fitted coordinate system is adapted to map the obstacles with arbitrary shape into a simple transformed plane with rectangular grid system. For upstream and downstream planes Neumann boundary conditions are used to keep the orthogonal grids near these boundaries. The finite analytic method which utilizes the local analytic solution of the partial differential equation is applied to predict the separated laminar flow past a wall-mounted obstacle in two-dimensional channel. For... In this paper the boundary-fitted coordinate system is adapted to map the obstacles with arbitrary shape into a simple transformed plane with rectangular grid system. For upstream and downstream planes Neumann boundary conditions are used to keep the orthogonal grids near these boundaries. The finite analytic method which utilizes the local analytic solution of the partial differential equation is applied to predict the separated laminar flow past a wall-mounted obstacle in two-dimensional channel. For backward-facing step flow, the numerical results gives good agreement with experimental data. It is shown by the prediction of flows over semi circular obstacle that the point of separation moves upwards as the Reynolds number increases and becomes unchanged as Re>130. 本文应用拟合坐标系和有限解析法分析计算二维管壁凸体的层流绕流。计算了台阶绕流的流速场,其结果与试验资料吻合。文中还预报了半圆柱凸体的绕流。发现分离点随雷诺数的增大而向上游移动,当Re>130时,分离点的位置不再改变。 The following analytic pseudodifferential equations of Fuchs type have been prayed to havo local analytic solutions near t=0 under some restrictions on their characteristic roots. The properties of the solution operator on some function space from which the existence theorem follows are discussed carefully. 本文证明了:在关于特征根满足某些条件下,下列Fuchs型拟微分方程在t=0附近有局部解析解。为此,本文较仔细地讨论了解算子在某些函数空间中的性质。 << 更多相关文摘 相关查询

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