Vortex particle methods, when combined with multipole-accelerated boundary element methods (BEM), become a complete tool for direct numerical simulation (DNS) of internal or external vortex-dominated flows. In previous work, we presented a method to accelerate the vorticity-velocity inversion at the heart of vortex particle methods by performing a multipole treecode N-body method on parallel gr...

Articles you may be interested in A self-consistent model for the saturation dynamics of the vortex shedding around the mean flow in the unstable cylinder wake Study of the long-time dynamics of a viscous vortex sheet with a fully adaptive nonstiff method We develop a model to numerically study the dynamics of vortex streets in channel flows. Previous work has studied the vortex wakes of specif...

A Eulerian fixed grid approach to simulate the dynamics of two-phase interfaces in the presence of surface tension forces is presented. This level set/vortex sheet method consists of a simplified system of equations that contain individual source terms describing the relevant physical processes at the phase interface explicitly. Hence, this approach provides a framework that will allow for a si...

Superfluidity is a special state of matter exhibiting macroscopic quantum phenomena and acting like a fluid with zero viscosity. In such a state, superfluid vortices exist as phase singularities of the model equation with unique distributions. This paper presents novel techniques to aid the visual understanding of superfluid vortices based on the state-of-the-art non-linear Klein-Gordon equatio...

Direct numerical simulation of turbulent flow behind a cylinder, wake flow, using the random vortex method for an incompressible fluid in two dimensions is presented. In the random vortex method, the primary variable is vorticity of the flow field. After generation on the cylinder wall, it is followed in two fractional time step in a Lagrangian system of coordinates, namely convection and diffu...

Sufficient conditions for the existence of quasi-pe~odic solutions of two different desingularized vortex models for 2-dimensional Euler flows are derived. One of these modds is the vortex blob model for the evolution of a periodic vortex sheet and the other is a second order elliptic moment model (DEMM) for the evolution of widely separated vortex regions. The method involves the identificatio...

A vortex particle method for the simulation of twodimensional compressible flows is developed. The computational elements are Lagrangian particles that carry vorticity, dilatation, enthalpy, entropy and density. The velocity field is decomposed into irrotational and solenoidal parts, which allows its calculation in terms of the particles’ vorticity and dilatation. The particle coverage is trunc...

Recent results are presented from the application of a grid-free vortex method to the prediction of turbulent aerodynamic flows produced by road vehicles. The approach has the character of a large eddy simulation and incorporates a fast technique for evaluating the mutual interactions of several million vortex elements needed in describing the dynamically significant structure of the turbulent ...

A coherent-vortex analysis is made of a computational solution for the free decay of homogeneous, Charney-isotropic geostrophic turbulence at large Reynolds number. The method of analysis is a vortex detection and measurement algorithm that we call a vortex census. The census demonstrates how, through non-conservative interactions among closely approaching vortices, the vortex population evolve...