用于亚声速气动声学和可压缩Navier-Stokes方程的高阶浸没边界方法
High-order immersed boundary method for subsonic aeroacoustics and compressible Navier-Stokes equationsHigh-order immersed boundary method for subsonic aeroacoustics and compressible Navier-Stokes equations
- Institut PPRIME, CNRS-Université de Poitiers-ENSMA（普里梅研究所，法国国家科学研究中心-普瓦捷大学-国立高等航空航天学院）
机构由 AI 辅助整理，请以论文原文为准。
AI总结：
本文提出一种基于高阶格式和鬼点法的新型离散鬼点浸没边界方法，用于求解亚声速气动声学和可压缩Navier-Stokes方程，并通过圆柱绕流等算例验证了其有效性。
AI中文摘要：
在计算流体力学中，浸没边界方法是一种经典技术，用于在使用笛卡尔网格（如有限差分方法中的情况）时处理复杂几何形状。本文提出了一种新的离散鬼点方法，这是可用的不同浸没边界方法之一，用于通过线性化欧拉方程或可压缩Navier-Stokes方程求解声学和气动声学问题。该方法基于高阶格式和鬼点方法。鬼点处的流场值通过两步确定。首先使用最小二乘插值在位于浸没边界法线上的点模板上重建流动。然后，基于与边界点相邻的法线模板点，使用4阶拉格朗日外推来在浸没边界处施加边界条件，通过重建鬼点处的场值。该方法针对压力脉冲撞击圆柱体的声学问题进行了验证和确认。该方法还针对多个雷诺数下圆柱体的可压缩流动进行了验证。
英文摘要：
In computational fluid dynamics, the immersed boundary method is a classical technique to account for complex geometries when Cartesian grids are used, as is the case in finite difference methods. The present paper presents a new discrete ghost point method, which is one of the different immersed boundary methods available, for solving problems in acoustics and aeroacoustics with the linearized Euler equations or the compressible Navier-Stokes equations. This method is based on high-order schemes and a ghost point method. The flow field values at the ghost points are determined in two steps. A least-squares interpolation is first used to reconstruct the flow on a stencil of points located on the normal to the immersed boundary. Then, a 4th order Lagrangian extrapolation based on the normal stencil points adjacent to the boundary point is used to impose the boundary conditions at the immersed boundary by reconstructing the field values at the ghost points. This approach is verified and validated for the acoustical problem of a pressure pulse impinging on a cylinder. The approach is also validated for compressible flow past a circular cylinder at several Reynolds numbers.
