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首页> 外文期刊>Applied Mechanics and Engineering >SOLUTIONS OF INCOMPRESSIBLE NAVIER-STOKES EQUATIONS WITH THE ARTIFICIAL COMPRESSIBILITY METHOD FOR TWO-AND THREE-DIMENSIONAL SHEAR-DRIVEN CAVITY FLOWS
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SOLUTIONS OF INCOMPRESSIBLE NAVIER-STOKES EQUATIONS WITH THE ARTIFICIAL COMPRESSIBILITY METHOD FOR TWO-AND THREE-DIMENSIONAL SHEAR-DRIVEN CAVITY FLOWS

机译：二维和三维剪切驱动腔流的人工压缩方法求解不可压Navier-Stokes方程

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摘要

An efficient method for simulating laminar flows in complex geometries is presented The artificial compressibility method was applied to solve two- and three-dimensional Navier-Stokes equations in primitive variables on Cartesian grids. Two numerical approaches were proposed in this work, which are based on the method of lines process in conjunction with transfer of all the variables from the boundaries to the nearest uniform grid knots. Initial value problems for the systems of ordinary differential equations for pressure and velocity components were computed using the one-step backward-differentiation predictor-corrector method or the Galerkin-Runge-Kutta method of third order. Some test calculations for laminar flows in square, half-square, triangular, semicircular, cubic, half-cubic, half-cylinder and hemisphere cavities with one uniform moving wall were reported. The present results were compared with the available data in the literature and the Fluent solver numerical simulations.
机译：提出了一种在复杂几何形状中模拟层流的有效方法。将人工压缩方法用于求解笛卡尔网格上原始变量中的二维和三维Navier-Stokes方程。在这项工作中提出了两种数值方法，它们是基于线处理的方法，并将所有变量从边界转移到最近的均匀网格结。压力和速度分量的常微分方程组的初值问题是通过一步一步向后微分预测器-校正器方法或三阶Galerkin-Runge-Kutta方法计算的。报道了在具有一个均匀移动壁的正方形，半正方形，三角形，半圆形，立方，半立方，半圆柱和半球腔中的层流的一些测试计算。将当前结果与文献和Fluent求解器数值模拟中的可用数据进行比较。

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