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首页> 外文会议>International Conference on Computational Fluid Dynamics >Multigrid solutions for the three-dimensional incompressible Navier-Stokes equations in artificial compressibility formulation
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Multigrid solutions for the three-dimensional incompressible Navier-Stokes equations in artificial compressibility formulation

机译：人工压缩配方中三维不可压缩Navier-Stokes方程的多体解决方案

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The full-approximation-storage (FAS) multigrid algorithm is applied in conjunction with the artificial compressibility method to accelerate steady solutions of the 3D incompressible Navier-Stokes equations. The basic scheme used is the diagonalized Beam-Warming scheme, and the finite differences for inviscid fluxes include a MUSCL scheme and a symmetric TVD scheme for comparing purpose. Neumann boundary conditions on the coarse grids are implemented for the correction rather than for the flow variable itself. The performance of the present method is studied for the entry flow through a 90° bent square duct and the flow past an inclined prolate spheroid with an axes ratio of 4:1. It is found that the multigrid acceleration behaves well only by using the proposed treatment of Neumann boundary conditions on coarse grids, and that MUSCL scheme has better resolution than TVD scheme, due to the fact that TVD scheme with limiters degenerates to first-order accuracy at extrema.
机译：全近似存储（FAS）多重型算法与人工压缩方法一起应用，以加速3D不可压缩Navier-Stokes方程的稳定解决方案。所使用的基本方案是对角化的光束 - 变暖方案，并且对不合件通量的有限差别包括用于比较目的的Muscl方案和对称的TVD方案。粗略网格上的Neumann边界条件用于校正而不是流量变量本身。研究了本方法的性能，用于进入流过90°弯曲方形管道，流量超过轴比为4：1的倾斜的聚合物球体。发现多档加速度仅通过使用粗网格上的尼姆农边界条件的建议处理，并且该Muscl方案具有比TVD方案更好的分辨率，因为TVD方案与限制器退化为一阶精度的事实极值。

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