The boundary data immersion method for compressible flows with application to aeroacoustics

Abstract

This paper introduces a virtual boundary method for compressible viscous fluid flow that is capable of accurately representing moving bodies in flow and aeroacoustic simulations. The method is the compressible extension of the boundary data immersion method (BDIM, Maertens & Weymouth (2015)). The BDIM equations for the compressible Navier-Stokes equations are derived and the accuracy of the method for the hydrodynamic representation of solid bodies is demonstrated with challenging test cases, including a fully turbulent boundary layer flow and a supersonic instability wave. In addition we show that the compressible BDIM is able to accurately represent noise radiation from moving bodies and flow induced noise generation without any penalty in allowable time step.

The Influence of Different Wake Profiles on Losses in a Low Pressure Turbine Cascade

“…This provided the flexibility to alter the bar position and geometry, as well as the use of a simple Cartesian grid. The BDIM had been validated for aero-vibro-acoustic DNS simulations [25] prior to this study.…”

Recent progress of immersed boundary method and its applications in compressible fluid flow

“…这 样, 与传统的贴体网格算法相比, 采用浸入边界法处 理复杂边界更加简单, 并且具有较高的计算效率. 因 此浸入边界法近年来受到了广泛的关注 [3,8,[11][12][13][14] . 浸入边界法最初是针对不可压缩流动而设计 的, 并广泛应用于各类问题 [3,11,[15][16][17] , 近年来, 在可 压缩流动中应用的研究也逐渐展开 [8,14,[18][19][20][21] .…”

“…因 此浸入边界法近年来受到了广泛的关注 [3,8,[11][12][13][14] . 浸入边界法最初是针对不可压缩流动而设计 的, 并广泛应用于各类问题 [3,11,[15][16][17] , 近年来, 在可 压缩流动中应用的研究也逐渐展开 [8,14,[18][19][20][21] . 目前, 浸入边界法已经在很多领域都得到了成功的应用, 如仿生人工拍翼飞行器 [22,23] 、 仿生鱼机器人 [24] 、 细胞的运动 [25,26] 、 水下拍翼发电装置 [27] 、 弹性板 在超声速流中的振动 [8,21] 等.…”

Analysis of two-dimensional and three-dimensional wakes of long circular cylinders

“…The Boundary Data Immersion Method (BDIM) from G.D. Weymouth and D.K.P. Yue [13] (recently extended to compressible flow in [14]) is an IB method which has been used to take into account the solid boundary condition of the cylinder in a non-conforming rectilinear grid. Instead of using an extra term in the governing equations, the BDIM takes into account an interface between the solid and the fluid parts of the domain mapping the governing equations of both parts on it to ensure a continuous transition between the mediums.…”