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首页> 外文期刊>Progress in Aerospace Sciences >DEVELOPMENT OF PRESSURE-BASED COMPOSITE MULTIGRID METHODS FOR COMPLEX FLUID FLOWS
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DEVELOPMENT OF PRESSURE-BASED COMPOSITE MULTIGRID METHODS FOR COMPLEX FLUID FLOWS

机译：复杂流体流动的基于压力的复合多重网格方法的发展

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Progress in the development of a multiblock, multigrid algorithm, and a critical assessment of the k-ε two-equation turbulent model for solving fluid flows in complex geometries is presented. The basic methodology employed is a unified pressure-based method for both incompressible and compressible flows, along with a TVD-based controlled variation scheme (CVS), which uses a second-order flux estimation bounded by flux limiters. Performance of the CVS is assessed in terms of its accuracy and convergence properties for laminar and turbulent recirculating flows as well as compressible flows containing shocks. Several other conventional schemes are also employed, including the first-order upwind, central difference, hybrid, second-order upwind and QUICK schemes. For better control over grid quality and to obtain accurate solutions for complex flow domains, a multiblock procedure is desirable and often a must. Here, a composite grid algorithm utilizing patched (abutting) grids is discussed and a conservative flux treatment for interfaces between blocks is presented. A full approximation storage-full multigrid (FAS—FMG) algorithm that is incorporated in the flow solver for increasing the efficiency of the computation is also described. For turbulent flows, implementation of the k-ε two-equation model and in particular the wall functions at solid boundaries is also detailed. In addition, different modifications to the basic k-ε model, which take the non-equilibrium between the production and dissipation of k and ε and rotational effects into account, have also been assessed. Selected test cases are used to demonstrate the robustness of the solver in terms of the convection schemes, the multiblock interface treatment, the multigrid speedup and the turbulence models.
机译：介绍了多块，多网格算法的开发进展，以及解决复杂几何形状中的流体流动的k-ε两方程湍流模型的关键评估。所采用的基本方法是针对不可压缩和可压缩流的基于压力的统一方法，以及基于TVD的受控变化方案（CVS），该方案使用受通量限制器限制的二阶通量估算。 CVS的性能根据其准确性和对层流和湍流再循环流以及包含冲击的可压缩流的收敛特性进行评估。还采用了几种其他常规方案，包括一阶迎风，中心差，混合，二阶迎风和QUICK方案。为了更好地控制网格质量并为复杂的流域获得准确的解决方案，需要使用多块程序，这通常是必须的。在此，讨论了一种利用修补（邻接）网格的复合网格算法，并提出了针对块之间接口的保守通量处理方法。还描述了全近似存储全多重网格（FAS-FMG）算法，该算法已合并到流求解器中以提高计算效率。对于湍流，还详细介绍了k-ε两方程模型的实现，尤其是实边界处的壁函数。此外，还评估了对基本k-ε模型的各种修改，其中考虑了k和ε的产生和耗散以及旋转效应之间的不平衡。通过对流方案，多块界面处理，多网格加速和湍流模型，使用选定的测试案例来证明求解器的鲁棒性。

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