A boundary condition-enforced immersed boundary method for compressible viscous flows

Recent trends and progress in the immersed boundary method

“…Recently, Qiu et al. 211 extended the diffused-interface IBM to both subsonic and supersonic flows by applying sources caused by the immersed boundary to the momentum, density, and pressure. More recently, the boundary data immersion method (BDIM), 212 a version of IBM, was extended to compressible flows by introducing corrections to all equations.…”

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

“…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.…”

“…在这种改进的方法中, 固体和流体各自独立求 解, 然后通过罚函数实现流固动力学的耦合. 最近, Qiu等人 [20] 通过修正边界附近的流体密度, 将浸入 边界法推广到不可压缩流动中, 而我们的工作发现, 采用流固分离求解的办法, 无须任何修正, 即可实现 浸入边界在可压缩中的应用 [8,17] . 此外, 还有一些学者提出了二阶以及高阶精度 的浸入边界法, 对于较高雷诺数的计算是更好的选 择 [32][33][34][35][36][37] .…”

A sharp‐interface immersed boundary framework for simulations of high‐speed inviscid compressible flows

“…There have also been efforts to develop second-order accurate nonconformal solvers for the kinetic equations with application to Euler flows 16 and higher-order finite difference IB schemes for hypersonic flows. 21 The incompressible implicit velocity correction-based IB has also been extended for laminar subsonic flows in the work of Qiu et al 22 A good number of IB approaches have employed the ghost-cell IB methodology, 10,[23][24][25] with the most recent studies by Mo et al 23 simulating shock diffraction and explosion problems with multiple moving bodies. 19 In the context of viscous compressible flows, there have also been recent efforts to employ the ghost-cell IB to simulate high Reynolds viscous flows 20 and for large eddy simulations of subsonic and supersonic turbulent flows.…”

“…19 In the context of viscous compressible flows, there have also been recent efforts to employ the ghost-cell IB to simulate high Reynolds viscous flows 20 and for large eddy simulations of subsonic and supersonic turbulent flows. 21 The incompressible implicit velocity correction-based IB has also been extended for laminar subsonic flows in the work of Qiu et al 22 A good number of IB approaches have employed the ghost-cell IB methodology, 10,[23][24][25] with the most recent studies by Mo et al 23 simulating shock diffraction and explosion problems with multiple moving bodies. While the ghost-cell IB has been the choice of sharp-interface IB method for compressible flows, there have also been a few notable contributions by other sharp-interface IB variants.…”