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首页> 外文期刊>Numerical Heat Transfer, Part B. Fundamentals: An International Journal of Computation and Methodology >Totally analytical closure of space filtered Navier-Stokes for arbitrary Reynolds number: Part I. Theory, resolutions
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Totally analytical closure of space filtered Navier-Stokes for arbitrary Reynolds number: Part I. Theory, resolutions

机译：完全分析的空间封闭空间滤过的Navier-Stokes，用于任意雷诺数：第I部分。理论，决议

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摘要

Rigorously space filtering the thermal, multispecies Navier-Stokes (NS) conservation principle partial differential equation (PDE) system embeds a priori undefined tensor and vector quadruples. Large eddy simulation (LES) computational fluid dynamics algorithm resolutions replace the tensor quadruple with a single tensor then secures closure through physics-based modeling, assuming the velocity field is turbulent, i.e., the Reynolds number (Re) is large. In complete distinction, a totally analytical closure is derived for the rigorously generated tensor/vector quadruples, achieved totally absent any modeling component or Re assumption. For Gaussian filter of uniform measure , derived analytical filtered Navier-Stokes (aFNS) theory PDE system state variable is significance scaled O(1; (2); (3)) through classic fluid mechanics perturbation theory. That uniform measure filter penetrates domain boundaries requires O(1) resolved scale PDE system inclusion of boundary commutation error (BCE) integrals, (unfiltered) NS state variable extension in the sense of distributions, and domain enlargement to encompass all surfaces with Dirichlet boundary condition (DBC) specification. Theory-derived O((2)) resolved-unresolved scale interaction PDE system, also the O(1) system, is rendered bounded domain, well posed through a priori identification of O(1; (2)) state variable nonhomogeneous DBCs. BCE and DBC resolution algorithm derivations use O((4)) approximate deconvolution (AD) differential definition Galerkin weak forms. Theory analytically derived unresolved scale O((3)) state variable annihilates discretization-induced O(h(2)) dispersion error at unresolved scale threshold , h the mesh measure. Net is an analytical theory closing rigorously space-filtered NS exhibiting potential for first principles prediction of viscous laminar-turbulent transition, separation, and relaminarization.
机译：严格的空间过滤热量，多层vier-stokes（ns）保护原理部分微分方程（PDE）系统嵌入了先验未定义的张量和矢量四面体。大型涡流仿真（LES）计算流体动力学算法分辨率取代张量四边形的单个张量，然后通过基于物理的建模来保护闭合，假设速度场是湍流的，即雷诺数（RE）很大。在完全区分中，为严格产生的张量/载体四元流推导出完全分析的闭合，完全缺乏任何建模组件或重新假设。对于均匀测量的高斯滤波器，衍生的分析过滤的Navier-Stokes（AFNS）理论PDE系统状态变量是显着缩放O（1;（2）;（3））通过经典流体力学扰动理论。该统一测量滤波器穿透域边界需要O（1）解析缩放PDE系统包含边界换向误差（BCE）积分，（未过滤）NS状态变量扩展在分布意义上，域放大，以包含具有Dirichlet边界条件的所有曲面（DBC）规范。理论衍生的O（（2））解决 - 未解决的比例交互PDE系统，也是o（1）系统，呈现有界域，通过先验识别O（1;（2））状态可变非均匀DBC。 BCE和DBC分辨率算法衍生使用O（（4））近似解卷积（AD）差分定义Galerkin弱形式。理论分析衍生的未解决量表o（（3））状态变量湮灭了在未解决的比例阈值下的离散化诱导的O（H（2））色散误差，H网状度量。网是一个分析理论，其严格的空间过滤的NS，表现出粘性层流动湍流转变，分离和relamarization的第一原理预测的潜力。

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