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Development of an explicit multiblock/multigrid flow solver for viscous flows in complex geometries

机译:开发用于复杂几何形状中粘性流的显式多块/多网格流求解器

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摘要

A new computer program is being developed for doing accurate simulations of compressible viscous flows in complex geometries. The code employs the full compressible Navier-Stokes equations. The eddy viscosity model of Baldwin and Lomax is used to model the effects of turbulence on the flow. A cell centered finite volume discretization is used for all terms in the governing equations. The Advection Upwind Splitting Method (AUSM) is used to compute the inviscid fluxes, while central differencing is used for the diffusive fluxes. A four-stage Runge-Kutta time integration scheme is used to march solutions to steady state, while convergence is enhanced by a multigrid scheme, local time-stepping, and implicit residual smoothing. To enable simulations of flows in complex geometries, the code uses composite structured grid systems where all grid lines are continuous at block boundaries (multiblock grids). Example results shown are a flow in a linear cascade, a flow around a circular pin extending between the main walls in a high aspect-ratio channel, and a flow of air in a radial turbine coolant passage.
机译:正在开发一种新的计算机程序,以对复杂几何形状中的可压缩粘性流进行精确模拟。该代码采用了完全可压缩的Navier-Stokes方程。 Baldwin和Lomax的涡流粘度模型用于模拟湍流对流动的影响。控制方程中的所有项均使用以单元为中心的有限体积离散化。对流迎风分裂法(AUSM)用于计算无粘性通量,而中心差分用于扩散通量。使用四阶段的Runge-Kutta时间积分方案将解决方案推向稳态,同时通过多网格方案,局部时间步长和隐式残差平滑来增强收敛。为了能够模拟复杂几何形状中的流,该代码使用复合结构化网格系统,其中所有网格线在块边界(多块网格)处都是连续的。所示的示例结果是线性叶栅中的流,在高纵横比通道中在主壁之间延伸的圆形销周围的流以及径向涡轮冷却剂通道中的空气流。

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