A front-tracking method for viscous, incompressible, multi-fluid flows
Journal of Computational Physics
Journal of Computational Physics
Direct numerical simulation of flow past elliptic cylinders
Journal of Computational Physics
Journal of Computational Physics
On simulation of turbulent nonlinear free-surface flows
Journal of Computational Physics
A front-tracking method for the computations of multiphase flow
Journal of Computational Physics
Journal of Computational Physics
A ghost-cell immersed boundary method for flow in complex geometry
Journal of Computational Physics
Mesh Update Techniques for Free-Surface Flow Solvers Using Spectral Element Method
Journal of Scientific Computing
Journal of Computational Physics
A second-order boundary-fitted projection method for free-surface flow computations
Journal of Computational Physics
Journal of Computational Physics
Solution of moving-boundary problems by the spectral element method
Applied Numerical Mathematics
On the generation and maintenance of waves and turbulence in simulations of free-surface turbulence
Journal of Computational Physics
Journal of Computational Physics
Journal of Computational Physics
Hi-index | 31.45 |
A numerical method for the simulation of viscous flows with undulatory walls and free surfaces is presented. The simulation domain is discretized by a boundary-fitted and time-dependent grid. The Navier-Stokes equations, subject to fully nonlinear kinematic and dynamic boundary conditions at the free surface and no-slip boundary condition at the wall, are simulated by a hybrid pseudo-spectral and finite difference method in space and a semi-implicit fractional-step method in time. The performance of the method is demonstrated by a series of test cases including flows over wavy boundaries, various surface waves, and interaction between vortices and free surfaces. Validation by convergence test and extensive comparisons with previous theoretical, experimental, and numerical studies indicate the accuracy and efficiency of the method. Finally, a simulation example of turbulence and free surface interaction is presented. Results show that the rich features of the free surface such as surface waves, splats, anti-splats, dimples, and scars are captured accurately. Characteristic vortical structures and variation of turbulence statistics in the near-surface region are also elucidated.