GMRES: a generalized minimal residual algorithm for solving nonsymmetric linear systems
SIAM Journal on Scientific and Statistical Computing
A computational model of aquatic animal locomotion
Journal of Computational Physics
Boundary conditions for viscous vortex methods
Journal of Computational Physics
SIAM Journal on Numerical Analysis
A numerical study of insect flight
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
Vortex methods with spatially varying cores
Journal of Computational Physics
Vortex methods for high-resolution simulations of viscous flow past bluff bodies of general geometry
Journal of Computational Physics
A sharp interface Cartesian Ggid method for simulating flows with complex moving boundaries: 345
Journal of Computational Physics
A general deterministic treatment of derivatives in particle methods
Journal of Computational Physics
A cartesian grid method for modeling multiple moving objects in 2D incompressible viscous flow
Journal of Computational Physics
Advances in direct numerical simulations of 3D wall-bounded flows by Vortex-in-Cell methods
Journal of Computational Physics
Journal of Computational Physics
SPH simulations of swimming linked bodies
Journal of Computational Physics
Journal of Computational Physics
Dynamically coupled fluid-body interactions in vorticity-based numerical simulations
Journal of Computational Physics
A new mathematical formulation and fast algorithm for fully resolved simulation of self-propulsion
Journal of Computational Physics
Analysis of an immersed boundary method for three-dimensional flows in vorticity formulation
Journal of Computational Physics
Source seeking for a Joukowski foil model of fish locomotion
ACC'09 Proceedings of the 2009 conference on American Control Conference
Source seeking for a three-link model of fish locomotion
ACC'09 Proceedings of the 2009 conference on American Control Conference
Source seeking for two nonholonomic models of fish locomotion
IEEE Transactions on Robotics
On numerical modeling of animal swimming and flight
Computational Mechanics
Hi-index | 31.47 |
A viscous vortex particle method is presented for computing the fluid dynamics of two-dimensional rigid bodies in motion. The Navier-Stokes equations are solved using a fractional step procedure. Smooth particles carry vorticity and exchange strength to account for convection and viscous diffusion. The spurious slip resulting from this half-step is identified with a surface vortex sheet, and the slip is eliminated by diffusing the sheet to adjacent particles. Particles are remeshed every few time steps to a Cartesian grid with a 'body-ignorant' interpolation using simple symmetric stencils. Kelvin's circulation theorem remains enforced by accounting for the circulation leaked into the body during this procedure, and redistributing it to the particles in the subsequent sheet diffusion. The stability and convergence with respect to numerical parameters are explored in detail, with particular focus on the residual slip velocity. The method is applied to two problems that demonstrate its utility for investigating biological locomotion: a flapping elliptical wing with hovering insect kinematics, with good agreement of forces with previous simulations and experiments; and a three-linkage 'fish' undergoing undulatory mechanics.