Modeling a no-slip flow boundary with an external force field
Journal of Computational Physics
Numerical simulation of a cylinder in uniform flow: application of a virtual boundary method
Journal of Computational Physics
Immersed Interface Methods for Stokes Flow with Elastic Boundaries or Surface Tension
SIAM Journal on Scientific Computing
An adaptive version of the immersed boundary method
Journal of Computational Physics
An accurate Cartesian grid method for viscous incompressible flows with complex immersed boundaries
Journal of Computational Physics
An immersed boundary method with formal second-order accuracy and reduced numerical viscosity
Journal of Computational Physics
Combined immmersed-boundary finite-difference methods for three-dimensional complex flow simulations
Journal of Computational Physics
The immersed interface method for the Navier-Stokes equations with singular forces
Journal of Computational Physics
A sharp interface Cartesian Ggid method for simulating flows with complex moving boundaries: 345
Journal of Computational Physics
An immersed-boundary finite-volume method for simulations of flow in complex geometries
Journal of Computational Physics
An immersed boundary method with direct forcing for the simulation of particulate flows
Journal of Computational Physics
Simulation of flexible filaments in a uniform flow by the immersed boundary method
Journal of Computational Physics
Prediction of wall-pressure fluctuation in turbulent flows with an immersed boundary method
Journal of Computational Physics
Simulating the dynamics of inextensible vesicles by the penalty immersed boundary method
Journal of Computational Physics
Immersed-boundary methods for general finite-difference and finite-volume Navier-Stokes solvers
Journal of Computational Physics
Journal of Computational Physics
A numerical method for the calculation of drag and lift of a deformable droplet in shear flow
Journal of Computational Physics
Hi-index | 31.49 |
The refined stability analysis of the virtual boundary method proposed by Goldstein et al. (1994) and modified by Saiki and Biringen (1996) is carried out for applications to three-dimensional turbulent flows in complex geometry. The precise stability boundaries in the forcing parameter space for various time-advancing schemes are provided under the assumption that the virtual boundary points are densely distributed. From these and the relevant investigation of frequency of the forced system, the optimum gains of the feedback forcing are suggested. Stability regimes of the Runge-Kutta schemes of various order are much wider than those of the Adams-Bashforth schemes. Specially, the third-order Runge-Kutta scheme allows the use of an order-one CFL number in the integration of the feedback forcing, rendering the method applicable to turbulent flows with complex boundaries. The three-dimensional turbulent flow caused by a surface-mounted box was simulated using a spectral method for evaluation, confirming the stability limit proposed by theoretical estimate. The method was then applied to simulations of the flow around an impulsively starting cylinder and of the rough-wall turbulent boundary layer flow.