Total variation diminishing Runge-Kutta schemes
Mathematics of Computation
A novel thermal model for the lattice Boltzmann method in incompressible limit
Journal of Computational Physics
Simulating the motion of flexible pulp fibres using the immersed boundary method
Journal of Computational Physics
Journal of Computational Physics
Simulation of a flapping flexible filament in a flowing soap film by the immersed boundary method
Journal of Computational Physics
Lattice Boltzmann method and gas-kinetic BGK scheme in the low-Mach number viscous flow simulations
Journal of Computational Physics
A cartesian grid method for modeling multiple moving objects in 2D incompressible viscous flow
Journal of Computational Physics
Journal of Computational Physics
The immersed boundary-lattice Boltzmann method for solving fluid-particles interaction problems
Journal of Computational Physics
Proteus: a direct forcing method in the simulations of particulate flows
Journal of Computational Physics
An immersed interface method for simulating the interaction of a fluid with moving boundaries
Journal of Computational Physics
Journal of Computational Physics
A comparative study of the LBE and GKS methods for 2D near incompressible laminar flows
Journal of Computational Physics
Fluid-structure coupling within a monolithic model involving free surface flows
Computers and Structures
A lattice Boltzmann based implicit immersed boundary method for fluid-structure interaction
Computers & Mathematics with Applications
Computers & Mathematics with Applications
Journal of Computational Physics
Lattice Boltzmann simulations of thermal convective flows in two dimensions
Computers & Mathematics with Applications
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A momentum exchange-based immersed boundary-lattice Boltzmann method, which is used to solve the fluid-flexible-structure-interaction problem, is introduced in this paper. The present method, overcoming the drawback of the conventional penalty method employing a user-defined spring parameter for calculating the interaction force induced by the immersed boundary, uses a concept of momentum exchange on the boundary to calculate the interaction force. Numerical examples, including a laminar flow past a circular cylinder, a filament flapping in the wake of the cylinder, a single filament with the upstream end fixed flapping in a uniform flow field and the interaction of two filaments flapping in the flow, are provided to validate the present method and to illustrate its capability of dealing with the fluid-flexible-structure-interaction problem. Particularly, with considering the filament mass effects, a single filament with a fixed centre point undergoing a bending transition in the flow is firstly studied in the present paper. Our numerical results compare qualitatively well to experimental results. For a single filament with a fixed centre point, it is found that the flexure modulus has a significant effect on the final state of the filament: for a larger flexure modulus, the filament reaches the 'quasi-steady' state finally; for a small flexure modulus, the filaments will be flapping like two filaments.