Abstract:Numerical analysis on shock-cylinder interaction using immersed boundary method SCIENCE CHINA Technological Sciences 60, 1423 (2017); Recent progress in random metric theory and its applications to conditional risk measures SCIENCE CHINA Mathematics 54, 633 (2011); Large-eddy simulation of flows past a flapping airfoil using immersed boundary method †
“…The smooth function δ h is used to approximate the Dirac delta functionFigure 6.Schematic of the IBM: the mesh of the fluid and solid domain (left) and the concept of the IBM (right). 2,74 In the IBM, the Cartesian mesh is normally used for the fluid domain, and the no-slip boundary conditions at the solid surface is achieved by a virtual spring connecting the ghost and physical points. IBM: immersed boundary method.…”
Section: Fundamental Framework Of Lattice Boltzmann Methodsmentioning
confidence: 99%
“…Fluid structure interaction (FSI) is a very common physical phenomenon which extensively exists in nature, human daily life and many engineering applications. [1][2][3][4] Typical examples include flapping insects and birds, blood flows in arteries, tail flutter of aircraft wings, vibration of the turbine and compressor blades. In most FSI problems, it is not possible to obtain analytical solutions due to the inherent complexity of such problems, and the experimental study is generally limited in scope.…”
Fluid-structure interaction (FSI) is a very common physical phenomenon which extensively exists in nature, human daily life and many engineering applications. The lattice Boltzmann method (LBM) is an alternative of solving Navier–Stokes equations to obtain complex fluid dynamics. Since the proposal of lattice Bhatnagar–Gross–Krookmodel, the LBM has been improved and applied to various complex flows ranging from laminar flow to turbulent flow and Newtonian flow to non-Newtonian flow. To handle the associated FSI, the bounce-back scheme was proposed and then the immersed boundary method (IBM) was incorporated into the LBM for the simplicity and robustness of IBM in handling complex and moving geometries and the significant efficiency of LBM in solving fluid dynamics. In recent years, the combined frameworks of LBM, that is, bounce-back–lattice Boltzmann method and immersed boundary–lattice Boltzmann method have witnessed a significant development and the successful applications can be found in a range of physical problems such as flow around bluff bodies, flapping wings, wind turbines, aeroacoustics, sea wave modelling and et al. In this paper, the recent progress of LBM and some typical applications involving FSI are reviewed.
“…The smooth function δ h is used to approximate the Dirac delta functionFigure 6.Schematic of the IBM: the mesh of the fluid and solid domain (left) and the concept of the IBM (right). 2,74 In the IBM, the Cartesian mesh is normally used for the fluid domain, and the no-slip boundary conditions at the solid surface is achieved by a virtual spring connecting the ghost and physical points. IBM: immersed boundary method.…”
Section: Fundamental Framework Of Lattice Boltzmann Methodsmentioning
confidence: 99%
“…Fluid structure interaction (FSI) is a very common physical phenomenon which extensively exists in nature, human daily life and many engineering applications. [1][2][3][4] Typical examples include flapping insects and birds, blood flows in arteries, tail flutter of aircraft wings, vibration of the turbine and compressor blades. In most FSI problems, it is not possible to obtain analytical solutions due to the inherent complexity of such problems, and the experimental study is generally limited in scope.…”
Fluid-structure interaction (FSI) is a very common physical phenomenon which extensively exists in nature, human daily life and many engineering applications. The lattice Boltzmann method (LBM) is an alternative of solving Navier–Stokes equations to obtain complex fluid dynamics. Since the proposal of lattice Bhatnagar–Gross–Krookmodel, the LBM has been improved and applied to various complex flows ranging from laminar flow to turbulent flow and Newtonian flow to non-Newtonian flow. To handle the associated FSI, the bounce-back scheme was proposed and then the immersed boundary method (IBM) was incorporated into the LBM for the simplicity and robustness of IBM in handling complex and moving geometries and the significant efficiency of LBM in solving fluid dynamics. In recent years, the combined frameworks of LBM, that is, bounce-back–lattice Boltzmann method and immersed boundary–lattice Boltzmann method have witnessed a significant development and the successful applications can be found in a range of physical problems such as flow around bluff bodies, flapping wings, wind turbines, aeroacoustics, sea wave modelling and et al. In this paper, the recent progress of LBM and some typical applications involving FSI are reviewed.
Mass leakage at boundaries can be a critical issue for the reliability of the lattice Boltzmann (LB) method based on Cartesian grids. Despite numerous works based on the LB method, the intrinsic macroscopic mechanisms causing mass leakage are still not fully characterized but are essential to improve the mass conservation of LB simulations. In this paper, an original theoretical investigation of mass leakage at boundaries is proposed within the general LB framework. It is demonstrated that the mass leakage originates from the intrinsic deficiency of the wall-cut LB links at boundary nodes in recovering macroscopic momenta. From a mesoscopic-level definition, i.e., the net loss of distribution functions during the streaming process, the local mass leakage at individual boundary nodes, and its averaged value along smooth boundaries are mathematically expressed using macroscopic variables. The local mass leakage is shown to be dominated by terms proportional to the tangential momentum component. In contrast, the averaged mass leakage is shown to be contributed by various terms, including the boundary curvature, the tangential momentum, and the gradients of density, momentum, and momentum flux. Meanwhile, the amplitude of the averaged mass leakage is theoretically estimated to be proportional to the local grid spacing based on which a first-order accurate correction scheme is proposed. In addition, both the local and averaged mass leakage are demonstrated to be significantly dependent on boundary orientation with respect to the grid. The proposed theoretical analysis is assessed by performing numerical experiments. Two-dimensional weakly compressible flows through straight and curved moving channels are considered to estimate each term appearing in the theoretical analysis. The numerical results are in very good agreement with the proposed analysis, and the proposed mass correction scheme based on the averaged mass leakage effectively cures the mass leakage problems in the considered test cases.
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