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A Novel Sharp Interface Immersed Boundary Framework for Viscous Flow Simulations at Arbitrary Mach Number Involving Complex and Moving Boundaries
Computers & Fluids ( IF 2.8 ) Pub Date : 2020-06-01 , DOI: 10.1016/j.compfluid.2020.104579
Pradeep Kumar Seshadri , Ashoke De

Abstract This work presents a robust and efficient sharp interface immersed boundary (IBM) framework, which is applicable for all-speed flow regimes and is capable of handling arbitrarily complex bodies (stationary or moving). The work deploys an in-house, parallel, multi-block structured finite volume flow solver, which employs a 3D unsteady Favre averaged Navier Stokes equations in a generalized curvilinear coordinate system; while we employ a combination of HCIB (Hybrid Cartesian Immersed boundary) method and GC(Ghost-cell) for solution reconstruction near immersed boundary interface. A significant difficulty for these sharp interface approaches is of handling sharp features/edges of complex geometries. In this study, we observe that apart from the need for robust node classification strategy and higher order boundary formulations, the direction in which the reconstruction procedures are performed plays an important role in handling sharp edges. Taking this into account we present a versatile interface tracking procedure based on ray tracing algorithm and a novel three step solution reconstruction procedure that computes pseudo-normals in the regions where the normal is not well-defined and reconstructs the flow field along those directions. We demonstrate that this procedure enables solver to efficiently handle and accurately represent sharp-edged regions. A fifth-order weighted essentially non-oscillatory (WENO) scheme is used for capturing shock-induced discontinuities and complex fluid-solid interactions with high resolution. The developed IBM framework is applied to a wide range of flow phenomena encompassing all-speed regimes (M=0.001 to M = 2.0). A total of seven benchmark cases (three stationary and four moving bodies) are presented involving various geometries (cylinder, airfoil, wedge) and the predictions are found to be in excellent agreement with the published results.

中文翻译:

一种新的锐界面浸入边界框架,用于在涉及复杂和移动边界的任意马赫数处进行粘性流动模拟

摘要 这项工作提出了一种健壮且高效的锐界面浸入边界 (IBM) 框架,该框架适用于全速流态,并且能够处理任意复杂的物体(静止或移动)。这项工作部署了一个内部、并行、多块结构的有限体积流量求解器,它在广义曲线坐标系中采用了 3D 非定常 Favre 平均 Navier Stokes 方程;而我们采用 HCIB(混合笛卡尔浸入边界)方法和 GC(Ghost-cell)的组合在浸入边界界面附近进行解重建。这些尖锐界面方法的一个重大困难是处理复杂几何形状的尖锐特征/边缘。在这项研究中,我们观察到除了需要稳健的节点分类策略和高阶边界公式之外,执行重建程序的方向在处理锐利边缘方面起着重要作用。考虑到这一点,我们提出了一种基于光线跟踪算法的通用界面跟踪程序和一种新颖的三步解重建程序,该程序计算法线未明确定义的区域中的伪法线,并沿这些方向重建流场。我们证明此过程使求解器能够有效地处理和准确地表示锐边区域。五阶加权基本非振荡 (WENO) 方案用于以高分辨率捕获冲击引起的不连续性和复杂的流固相互作用。开发的 IBM 框架应用于广泛的流动现象,包括全速状态(M=0.001 到 M=2.0)。
更新日期:2020-06-01
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