A method of local corrections for computing the velocity field due to a distribution of vortex blobs
Journal of Computational Physics
Convergence of random method with creation of vorticity
SIAM Journal on Scientific and Statistical Computing
A fast algorithm for particle simulations
Journal of Computational Physics
Validation study of vortex methods
Journal of Computational Physics
Computer simulation using particles
Computer simulation using particles
An efficient surface algorithm for random-particle simulation of vorticity and heat transport
Journal of Computational Physics
A particle method for a scalar advection diffusion equation
Mathematics and Computers in Simulation
Three-dimensional vortex simulation of rollup and entrainment in a shear layer
Journal of Computational Physics
Modeling a no-slip flow boundary with an external force field
Journal of Computational Physics
SIAM Journal on Numerical Analysis
A new diffusion procedure for vortex methods
Journal of Computational Physics
Artificial viscosity models for vortex and particle methods
Journal of Computational Physics
Inviscid axisymmetrization of an elliptical vortex
Journal of Computational Physics
Modeling arteriolar flow and mass transport using the immersed boundary method
Journal of Computational Physics
An immersed boundary method with formal second-order accuracy and reduced numerical viscosity
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
Three-dimensional vortex methods for particle-laden flows with two-way coupling
Journal of Computational Physics
An immersed-boundary finite-volume method for simulations of flow in complex geometries
Journal of Computational Physics
A comparison of spectral and vortex methods in three-dimensional incompressible flows
Journal of Computational Physics
Blending Finite-Difference and Vortex Methods for Incompressible Flow Computations
SIAM Journal on Scientific Computing
Journal of Computational Physics
PPM: a highly efficient parallel particle-mesh library for the simulation of continuum systems
Journal of Computational Physics
A precorrected-FFT method for electrostatic analysis of complicated 3-D structures
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
Advances in direct numerical simulations of 3D wall-bounded flows by Vortex-in-Cell methods
Journal of Computational Physics
Journal of Computational Physics
Benchmark problems for incompressible fluid flows with structural interactions
Computers and Structures
An immersed boundary method for smoothed particle hydrodynamics of self-propelled swimmers
Journal of Computational Physics
MIB method for elliptic equations with multi-material interfaces
Journal of Computational Physics
A multiresolution remeshed Vortex-In-Cell algorithm using patches
Journal of Computational Physics
A high order solver for the unbounded Poisson equation
Journal of Computational Physics
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The paper presents a two-dimensional immersed interface technique for the Vortex-In-Cell (VIC) method for simulation of flows past bodies of complex geometry. The particle-mesh VIC algorithm is augmented by a local particle-particle correction term in a Particle-Particle Particle-Mesh (P^3M) context to resolve sub-grid scales incurred by the presence of the immersed interface. The particle-particle correction furthermore allows to disjoin mesh and particle resolution by explicitly resolving sub-grid scales on the particles. This P^3M algorithm uses an influence matrix technique to annihilate the anisotropic sub-grid scales and adds an exact particle-particle correction term. Free-space boundary conditions are satisfied through the use of modified Green's functions in the solution of the Poisson equation for the streamfunction. The concept is extended such as to provide exact velocity predictions on the mesh with free-space boundary conditions. The random walk technique is employed for the diffusion in order to relax the need for a remeshing of the computational elements close to solid boundaries. A novel partial remeshing technique is introduced which only performs remeshing of the vortex elements which are located sufficiently distant from the immersed interfaces, thus maintaining a sufficient spatial representation of the vorticity field. Convergence of the present P^3M algorithm is demonstrated for a circular patch of vorticity. The immersed interface technique is applied to the flow past a circular cylinder at a Reynolds number of 3000 and the convergence of the method is demonstrated by a systematic refinement of the spatial parameters. Finally, the flow past a cactus-like geometry is considered to demonstrate the efficient handling of complex bluff body geometries. The simulations offer an insight into physically interesting flow behavior involving a temporarily negative total drag force on the section.