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1-D Numerical Method of Discontinuous Fluid Flow

机译:非连续流体流动的一维数值方法

摘要

The present invention relates to a one-dimensional numerical analysis of discontinuous fluid flow, and more specifically, to accurately simulate various types of fluid flow occurring in a stream, i.e., various types of fluid flows generated in various conditions that have been almost impossible to simulate. A method for one-dimensional numerical analysis of discontinuous fluid flow that can be performed. The method of one-dimensional numerical analysis of the discontinuous fluid flow according to the present method obtains Jacobian of the flow term of the one-dimensional governing equation of the fluid flow, the Jacobian in the upstream direction and the Jacobian in the upstream direction and the upstream direction and A first step of obtaining a normalized Jacobian in the downstream direction; Calculating a level and a flow rate of the fluid flow with respect to a reference time by inputting an initial condition; Obtaining a boundary condition between an upstream end and a downstream end of the reference time and distance grid using the initial condition; A fourth step of calculating the eigenvalues of the Jacobian in the flow term, the eigenvalues of the normal Jacobian in the upstream direction, and the normal Jacobian in the upstream direction for the reference point and the upstream point using the boundary conditions of the upstream end; Wow; A fifth value for calculating the eigenvalues of the downstream Jacobian, the eigenvalues of the normal Jacobian in the downstream direction, and the normal Jacobian in the downstream direction, for the reference point and the downstream point using the boundary condition of the downstream end; Steps; A sixth step of applying the Jacobian in the upstream and downstream directions at the reference point to each of the flow and generation terms of the one-dimensional governing equation of the fluid flow; The inherent values of Jacobian in the upstream direction and Jacobian in the upstream direction are applied to the upstream point, Jacobian in the upstream and downstream direction and Jacobian in the upstream and downstream direction with respect to the reference point. A seventh step of applying the eigenvalue of and the Jacobian of the generating term, and applying the eigenvalues of the downstream Jacobian and the downstream Jacobian to the downstream points; An eighth step of constructing a matrix of the one-dimensional governing equations of the fluid flow for the reference time by repeating the routines of steps 4 to 7 for the distance grating; A ninth step of obtaining a water level and a flow rate in a next time grid with respect to the reference time by solving a matrix calculated in the eighth step using a matrix analysis routine; And a tenth step of returning to the second step to transfer to the next time grid to continuously calculate the water level and the flow rate at each time grid.
机译:本发明涉及不连续流体流动的一维数值分析,更具体地说,涉及精确地模拟流中发生的各种类型的流体流动,即在几乎不可能发生的各种条件下产生的各种类型的流体流动。模拟。一种可以对不连续流体流动进行一维数值分析的方法。根据本方法的对不连续流体流动进行一维数值分析的方法获得了流体流动的一维控制方程的流动项的雅可比行列式,上游方向上的雅可比行列和上游方向上的雅可比行列。上游方向和在下游方向获得归一化雅可比矩阵的第一步;通过输入初始条件来计算相对于基准时间的流体流的水平和流量;利用所述初始条件,获取所述参考时间和距离网格的上游端与下游端之间的边界条件;第四步,使用上游端的边界条件,计算流动项中的雅可比特征值,上游方向上的常规雅可比性和上游方向上的常规雅可比性的特征值,用于参考点和上游点;哇;第五值,其使用下游端的边界条件来计算参考点和下游点的下游雅可比行列的特征值,下游方向上的正常雅可比行列和下游方向上的常规雅可比行列的特征值;脚步;第六步,在参考点上沿上游和下游方向对流体的一维控制方程的每个流量和生成项应用雅可比行列式;相对于参考点,将上游方向上的雅可比性和上游方向上的雅可比性的固有值应用于上游点,上游和下游方向上的雅可比性且上游和下游方向上的雅可比性。第七步,应用生成项的和的特征值,并将下游雅可比和下游雅可比的特征值应用于下游点;第八步,通过对距离光栅重复步骤4至7的程序,建立参考时间的一维流体流动控制方程矩阵;第九步骤,通过使用矩阵分析程序求解在第八步骤中计算出的矩阵,获得相对于参考时间的下一时间网格中的水位和流量。第十步,返回第二步,转移到下一个时间网格,以连续计算每个时间网格的水位和流量。

著录项

  • 公开/公告号KR100593819B1

    专利类型

  • 公开/公告日2006-06-28

    原文格式PDF

  • 申请/专利权人

    申请/专利号KR20040091889

  • 发明设计人 김원;

    申请日2004-11-11

  • 分类号G06F17/10;

  • 国家 KR

  • 入库时间 2022-08-21 21:23:34

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