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Based on SIMPLER algorithm in the curvilinear body-fitted coordinates, the calculations were performed for Pr=0.7, Re=10~1000 on non-orthogonal non-staggered grids which are generated by elliptic equation systems.

采用曲线坐标系下压力与速度耦合的SIMPLER算法，数值研究了周期性渐扩渐缩波纹通道内脉动流动与换热情况，流动Re数的范围为10~1000，Pr数为0.7。

SIMPLER method is applied in this paper to calculate temperature field, speed field and gas concentration field of molten glass, providing model solution.

本文以玻璃熔窑液流运动和传热模型为例介绍了数学模拟在工业炉上的应用，并采用SIMPLER算法计算了玻璃液的温度场、速度场和气体浓度场，给出了模型求解得方法。

Orthogonal grid ; mathematical model ; river regime ; Hermite function ; boundary layer ; SIMPLER algorithm

正交网络；数学模型；河势； Hermite函数；边界层； SIMPLER算法

The mathematical model is dispersed by finite-volume method and the dispersed equations are solved by SIMPLER algorithm. This is the first time to solve a problem of drilling fluid mechanics with the numerical method of Newtonian fluid mechanics.

5首次将牛顿流体力学经常采用的数值方法用于钻井流体力学的研究中：用有限体积法离散钻井液流动和传热的数学模型，用Simpler算法求解该数学模型的离散化方程。

Numerical simulations of laminar flow separation and reattachment occurred in an annular backstep passage are performed by the SIMPLER algorithm.

用SIMPLER算法对流过环形后台阶通道内的层流分离和再附着进行了数值模拟。

The alterative direct iterative, strong implicit procedure, preconditioning transpose-free variant of quasi-minimum residual method and biconjugate gradient stabilized method of the Krylov subspace methods were implemented in SIMPLER algorithm to solve the algebraic equations.

将交替方向隐式、强隐及Krylov子空间法中的TFQMR、Bi-CGSTAB方法实施于SIMPLER算法，作为其内迭代求解方法，比较了不同代数方程求解方法的收敛速度，并首次分析了它们对算法健壮性的影响。

Under the unstaggered grids, the continuous equation is replaced with the elliptic different one of the pressure, which is derived by the finite-analytic method, and a modilfied new SIMPLER algorithm is proposed to be used as an equal-order pressure-velocity coupling scheme. A simple procedure is applied to determine the cell-face velocity independent of the under-relaxation factor used in solving the momentum equations.

在三维船体贴体坐标系下，运用有限解析解法对控制方程进行离散，采用压力与速度耦合的改进的SIMPLER计算方法结合标准的K—ε方程湍流模式，数值求解RANS方程，并计算了作斜航运动三维船体的粘性绕流场、压力分布以及水动力。

In the following chapters, a set of three-dimensional mathematical models involving the heat transfer of the coolant turbulent flow and heat conduction coupling, which is applicable in engineering, was established according to currency N-S control equation, the SIMPLER algorithm in an unstaggered grid system, SMART scheme and k- e turbulence model are used in the flowfield ; The method of whole-field dispersed and solved are appled in the temperature field.

流场计算中，采用同位网格上的SIMPLER算法和低雷诺数κ-ε湍流模型，对流扩散项采用SMART格式离散；温度场计算中采用整场离散，整场求解。

Based on the analysis of physics course of heat transfer, the mathematical model of single-phase flow in the rectangular narrow channel is proposed. And the boundary conditions are given to get the unique numerical result. The finite volume method is used to found the discrete scheme of equations. According to the flow of SIMPLER arithmetic, the computing program is developed and the correctness of program is validated.Then the program is used to solve the problem of flow and heat transfer in rectangular narrow channel.The stable two dimension velocity and temperature fields in rectangular narrow channel and plate fuel are obtained.

在明确窄缝流道及燃料板换热物理过程的基础上，建立了描述矩形窄缝内单相流动与换热问题的数学模型，并给出了合理的边值条件；然后利用有限容积法对方程进行离散，根据SIMPLER算法的流程编制了模型求解程序；在验证程序正确性的基础上，对矩形窄缝流动与换热问题进行了求解，得到了矩形窄缝流道和板状燃料元件内部温度场、速度场的二维分布。

From three aspects including the speed of convergences,correcting equation and the adopted grid form,the research development of SIMPLE and SIMPLER、SIMPLEC、SIMPLEX and so on,had been discussed.

从算法的收敛速度；校正方程；所采用的网格形式三个方面对SIMPLE算法以及在该算法的基础上经改进得到的SIMPLER、SIM-PLEC、SIMPLEX等SIMPLE类算法的研究状况进行了论述。

This is not an ordinary box, which is used as a background picture of the dialog box, very pretty.

详细说明：这可不是一个一般的对话框，它是用图片作为背景的对话框，非常好看。

Conceal me what I am,and be my aid for such disguise as haply shall become the form of my intent.

遮掩我的身份，帮助我，我的面具将成为我的目的。