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首页> 外文期刊>Computational mathematics and modeling >APPLICATION OF QUASI-GAS DYNAMIC EQUATIONS TO NUMERICAL SIMULATION OF NEAR-WALL TURBULENT FLOWS
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APPLICATION OF QUASI-GAS DYNAMIC EQUATIONS TO NUMERICAL SIMULATION OF NEAR-WALL TURBULENT FLOWS

机译：准气动态方程在近壁湍流流动数值模拟中的应用

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摘要

We describe the possibilities of a numerical method based on quasi-gas dynamic (QGD) equations for the numerical simulation of a turbulent boundary layer. A subsonic Couette flow in nitrogen is used as an example, with dynamic Reynolds numbers of 153 and 198. The QGD system differs from the system of Navier-Stokes equations by additional nonlinear dissipative terms with a small parameter as a coefficient. In turbulent flow simulation, these terms describe small-scale effects that are not resolved on the grid. Comparison of our results (velocity profiles and mean-square velocity pulsations) with direct numerical simulation (DNS) results and benchmark experiments show that the QGD algorithm adequately describes the viscous and the logarithmic layers near the wall. Compared with high-accuracy DNS methods, the QGD algorithm permits using a relatively large spatial grid increment in the interior part of the viscous sublayer. Thus, the total number of grid points in the turbulent boundary layer may be relatively small. Unlike various versions of the large-eddy simulation (LES) method, the QGD algorithm does not require introduction of near-wall functions, because the additional terms vanish near the wall. For small Reynolds numbers, the QGD algorithm describes laminar Couette flow.
机译：我们描述了基于准气体动态（QGD）方程的数值方法的可能性，用于湍流边界层的数值模拟。氮气中的亚源沟槽流动用作示例，动态雷诺数为153和198. QGD系统通过额外的非线性耗散术语与Navier-Stokes方程的系统不同，其具有小参数作为系数。在湍流仿真中，这些术语描述了在网格上没有解决的小规模效果。使用直接数值模拟（DNS）结果和基准实验的结果比较我们的结果（速度简档和平均方向脉动）表明QGD算法充分描述了墙壁附近的粘性和对数层。与高精度DNS方法相比，QGD算法允许在粘性子层的内部中使用相对大的空间网格增量。因此，湍流边界层中的网格点的总数可以是相对较小的。与各种版本的大涡模拟（LES）方法不同，QGD算法不需要引入近壁功能，因为附加条款消失在墙壁附近。对于小雷诺数，QGD算法描述了层流沟槽流。

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