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Development of unsteady algorithms for pressure-based unstructured solver for two-dimensional incompressible flows.

机译:二维不可压缩流基于压力的非结构化求解器非稳态算法的开发。

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摘要

Development of unsteady algorithms for incompressible flow on triangular unstructured grids is presented. The numerical method used is derived from the SIMPLER algorithm. The spatial discretization is vertex-centered with median-dual control volume. The equal order velocity pressure interpolation method is employed to avoid the checkerboard pressure oscillation commonly encountered in using a collocated grid for solving incompressible flows. The time integration methods implemented are Fully-Implicit, Crank-Nicolson and a new explicit four-step Runge-Kutta method for incompressible flows. The Fully-Implicit and Crank-Nicolson follow the traditional path of a pressure correction equation to update the velocities. The Runge-Kutta SIMPLER uses the four-stage Runge-Kutta to update the velocities directly without a pressure correction equation. The resulting algorithms have been validated using the standard lid driven cavity problem and the backward facing step channel. The schemes are capable of capturing the unsteady or transient behavior in vortex development such as observed in the step channel flow. The unsteady algorithms have also been applied to the unsteady flow over a vertical flat plate. Simulation results and observations regarding the behavior of the different algorithms are presented.
机译:提出了三角非结构网格上不可压缩流的非稳态算法的发展。所使用的数值方法是从SIMPLER算法得出的。空间离散是以顶点为中心的,具有中位数-对偶控制量。采用等阶速度压力插值法可避免在使用并置网格求解不可压缩流时经常遇到的棋盘压力振荡。实施的时间积分方法有Fully-Implicit,Crank-Nicolson和新的显式四步Runge-Kutta方法用于不可压缩流。 Fully-Implicit和Crank-Nicolson遵循压力校正方程式的传统路径来更新速度。 Runge-Kutta SIMPLER使用四阶段Runge-Kutta直接更新速度,而无需压力校正方程式。使用标准盖驱动腔问题和后向阶梯通道已验证了所得算法。该方案能够捕获涡流发展中的非稳态或瞬态行为,例如在阶跃通道流中观察到的情况。非稳态算法也已应用于垂直平板上的非稳态流动。给出了有关不同算法行为的仿真结果和观察结果。

著录项

  • 作者

    Lestari, Angela.;

  • 作者单位

    Iowa State University.;

  • 授予单位 Iowa State University.;
  • 学科 Engineering Aerospace.
  • 学位 M.S.
  • 年度 2009
  • 页码 127 p.
  • 总页数 127
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类 航空、航天技术的研究与探索;
  • 关键词

  • 入库时间 2022-08-17 11:37:37

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