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High order accurate vortex methods with explicit velocity kernels

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TLDR
In this article, point vortex methods of high order accuracy are developed for inviscid, incompressible fluid flow in two or three space dimensions, where velocity kernels are smooth functions given by simple, explicit formulas.
About
This article is published in Journal of Computational Physics.The article was published on 1985-04-01. It has received 266 citations till now. The article focuses on the topics: Two-dimensional flow & Flow velocity.

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The Method of Regularized Stokeslets

TL;DR: A numerical method for computing Stokes flows in the presence of immersed boundaries and obstacles based on the smoothing of the forces, leading to regularized Stokeslets, demonstrating the wide applicability of the method and its properties.
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Desingularization of periodic vortex sheet roll-up

TL;DR: In this article, an analytical approach is used in an attempt to model the evolution of a vortex sheet past the critical time by means of a desingularization method, which converges beyond critical time for the vortex sheet.
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The method of regularized Stokeslets in three dimensions : Analysis, validation, and application to helical swimming

TL;DR: The regularized Stokeslet method as discussed by the authors is a Lagrangian method for computing Stokes flow driven by forces distributed at material points in a fluid, which is based on the superposition of exact solutions of the Stokes equations when forces are given by a cutoff function.
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Model-free simulations of turbulent reactive flows

TL;DR: The current computational methods for solving transport equations of turbulent reacting single-phase flows are critically reviewed, with primary attention given to those methods that lead to model-free simulations.
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The optical distortion mechanism in a nearly incompressible free shear layer

TL;DR: In this paper, the authors examined the mechanisms which produce a variable-density field (and accompanying index-of-refraction field) in a nearly incompressible shear-layer flow.
References
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Computer simulation using particles

TL;DR: In this paper, a simulation program for particle-mesh force calculation is presented, based on a one-dimensional plasma model and a collisionless particle model, which is used to simulate collisionless particle models.

Computer Simulation Using Particles

TL;DR: Computer experiments using particle models A one-dimensional plasma model The simulation program Time integration schemes The particle-mesh force calculation The solution of field equations Collisionless particle models Particle-particles/particle/particles algorithms Plasma simulation Semiconductor device simulation Astrophysics
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Numerical study of slightly viscous flow

TL;DR: In this paper, a numerical method for solving the time-dependent Navier-Stokes equations in two space dimensions at high Reynolds number is presented, where the crux of the method lies in the numerical simulation of the process of vorticity generation and dispersal, using computer-generated pseudo-random numbers.
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Vortex methods for flow simulation

TL;DR: Recent progress in the development of vortex methods and their applications to the numerical simulation of incompressible fluid flows are reviewed in this article, with a focus on recent results concerning the accuracy of these methods, improvements in computational efficiency, and development of three-dimensional vortex methods.
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Particle simulation of plasmas

TL;DR: For plasma with a large number of degrees of freedom, particle simulation using high-speed computers can offer insights and information that supplement those gained by traditional experimental and theoretical approaches.