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首页> 外文期刊>Numerical Heat Transfer, Part B. Fundamentals: An International Journal of Computation and Methodology >A high-resolution Navier-Stokes solver for direct numerical simulation of free shear flow
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A high-resolution Navier-Stokes solver for direct numerical simulation of free shear flow

机译：用于直接剪切流量的直接数值模拟的高分辨率Navier-Stokes求解器

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摘要

A high-resolution, Navier-Stokes solver is developed for direct numerical simulation (DNS) of free shear flow. All terms in Navier-Stokes equations are discretized using higher order methods. Diffusion term is discretized using fourth order central difference scheme while second order Adams-Bashforth is used for time derivative. Advecting velocity is approximated using fourth order Lagrangian interpolation. For the approximation of advected velocity, a blended fifth order-upwind scheme is proposed. Developed high resolution solver is used for DNS of round jet in transitional and turbulent regimes. A novel open outlet boundary condition (OOBC) is proposed which has the ability to dynamically adjust according to prevailing local condition at the outlet thereby minimizing reflections from outlet. Ability of blended fifth order upwind scheme and fifth order WENO is assessed in terms of algorithmic efficiency as well as fidelity of simulations. It is demonstrated that the proposed blended fifth order upwind scheme outperforms the WENO scheme in terms of algorithmic efficiency. Assessment of fidelity of simulations reveals that WENO displays a tendency to over-predict momentum advection in transitional as well as fully turbulent regime of the round jet. In contrast, the proposed advection scheme is not faced with such limitation.
机译：高分辨率Navier-Stokes求解器是开发用于自由剪切流的直接数值模拟（DNS）。 Navier-Stokes方程中的所有术语都使用高阶方法离散化。使用四阶中心差分方案离散术语，而第二阶Adams-Bashforth用于时间衍生物。使用第四阶拉格朗日插值近似速度。对于速度的近似，提出了一种混合的第五级Upwind方案。开发的高分辨率求解器用于过渡和湍流制度中的圆形喷射的DNS。提出了一种新颖的开口边界条件（OOBC），其能够根据出口处的普遍局部条件动态调整，从而最小化出口的反射。在算法效率和仿真的保真度方面评估了混合第五级Upwind方案和第五阶Weno的能力。据证明，在算法效率方面，所提出的混合第五阶UPWind方案优于Weno方案。评估模拟的保真度揭示了Weno表现出过渡的过渡和完全湍流的动力平流的倾向，以及圆射流的完全动荡的制度。相比之下，拟议的平流计划没有面临此类限制。

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