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Physical Diffusion Cures the Carbuncle Phenomenon

机译:物理扩散治愈了痈现象

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The supersonic flow of a calorically perfect ideal gas past a two-dimensional blunt body was investigated. An unphysical anomaly known as the carbuncle phenomenon has been predicted by earlier studies of this flow that use so-called high resolution schemes which employ flux limiters within shock-capturing methods applied to the Euler equations. As a remedy, this study introduces physical momentum and energy diffusion via a simple discretization of the ordinary Navier-Stokes equations, employed on a sufficiently fine grid to capture viscous shocks. To check if this cures the anomaly, flow over a cylinder of radius a = 150 microns of viscous air with freestream Mach number M_1 = 5.73, pressure p_1 = 12.4272 Pa, and temperature T_1 = 39.667 K was simulated. The numerical solution was calculated with first order spatial and fourth order temporal discretizations, and it was seen that physical diffusion, appropriately resolved, removes the carbuncle phenomenon.
机译:研究了火热完美的理想气体过去的超音速流动过去二维钝体。通过早期研究使用所谓的高分辨率方案,已经预测了被称为痈现象的无核心异常,这些流程使用了在施加到欧拉方程的冲击捕获方法内使用磁通限制器。作为一种补救措施,本研究通过在足够精细的网格上采用的普通Navier-Stokes方程的简单离散化来介绍物理动量和能量扩散,以捕获粘性冲击。为了检查这种异常是否固化异常,通过FreeStream Mach数M_1 = 5.73,压力P_1 = 12.4272Pa和温度T_1 = 39.667k,流过半径A = 150微米的粘性空气。使用一阶空间和四阶时间离散化计算数值解决方案,看来物理扩散,适当地解决,除去痈现象。

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