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Adaptive curvature control grid generation algorithms for complex glaze ice shapes RANS simulations

机译：复杂釉面冰形状的自适应曲率控制网格生成算法RANS模拟

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The paper presents the development of a novel adaptive curvature control algorithm for the generation of meshes around complex glaze ice shapes. First, the theory of elliptic grid generation is reviewed, laying out the physical/parametric/computational space approaches. Second, the choice of control functions ensuring spacing, curvature and orthogonality requirements are described for 2D mesh generation, including a novel blended approach which mixes the use of Sorenson and Spekreijse functions and parabolic methods. Third, a novel 1D automated curvature control algorithm is used to control the arclength grid spacing, so that high curvature regions around ice horns are appropriately captured while avoiding the grid shock problem. Finally, the performance of several solution algorithms (Point-Jacobi, Gauss-Seidel, ADI, Point and Line SOR) are discussed within the context of a full MultiGrid operator. Details are given on the various formulations used in the linearization process. It is shown that the performance of the solution algorithm depends on the type of control function used. Validation of the final algorithms is done within the framework of CANICE2D-NS, by running the embedded multi-block Reynolds-Averaged Navier-Stokes flow solver to obtain the pressure distribution, lift and drag coefficients for standard icing test cases.
机译：本文介绍了一种新颖的自适应曲率控制算法的开发，该算法可用于生成复杂釉面冰形状周围的网格。首先，回顾了椭圆网格生成的理论，提出了物理/参数/计算空间方法。其次，描述了确保2D网格生成所需的间距，曲率和正交性要求的控制函数的选择，包括将Sorenson和Spekreijse函数以及抛物线方法结合使用的新颖混合方法。第三，采用新颖的一维自动曲率控制算法来控制弧长网格间距，以便在避免出现网格冲击问题的同时，适当捕获冰角周围的高曲率区域。最后，在完整的MultiGrid运算符的上下文中讨论了几种解决方案算法（Point-Jacobi，Gauss-Seidel，ADI，Point and Line SOR）的性能。详细介绍了线性化过程中使用的各种公式。结果表明，求解算法的性能取决于所使用的控制功能的类型。通过运行嵌入式多块雷诺平均Navier-Stokes流量求解器以获取标准结冰测试用例的压力分布，升力和阻力系数，可以在CANICE2D-NS框架内完成最终算法的验证。

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