Query: title:(A high order solver for the unbounded Poisson equation), Author: Hejlesen

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title:(A high order solver for the unbounded Poisson equation) Author: Hejlesen

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title:(A AND high AND order AND solver AND for AND the AND unbounded AND Poisson AND equation)

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1 Conference paper

A high order solver for the unbounded Poisson equation

Hejlesen, Mads Mølholm; Rasmussen, Johannes Tophøj; Chatelain, Philippe; Walther, Jens Honore

In mesh-free particle methods a high order solution to the unbounded Poisson equation is usually achieved by constructing regularised integration kernels for the Biot-Savart law. Here the singular, point particles are regularised using smoothed particles to obtain an accurate solution with an order

Year: 2013

Language: English

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2 Journal article

A high order solver for the unbounded Poisson equation 10.1016/j.jcp.2013.05.050

Hejlesen, Mads Mølholm; Rasmussen, Johannes Tophøj; Chatelain, Philippe; Walther, Jens Honore

Journal of Computational Physics — 2013, Volume 252, pp. 458-467

A high order converging Poisson solver is presented, based on the Greenʼs function solution to Poissonʼs equation subject to free-space boundary conditions. The high order convergence is achieved by formulating regularised integration kernels, analogous to a smoothing of the solution field

Year: 2013

Language: English

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calkopf ibde njghm

3 Conference paper

A high order solver for the unbounded Poisson equation

Hejlesen, Mads Mølholm; Rasmussen, Johannes Tophøj; Chatelain, Philippe; Walther, Jens Honore

Proceedings of the 25th Nordic Seminar on Computational Mechanics — 2012

This work improves upon Hockney and Eastwood's Fourier-based algorithm for the unbounded Poisson equation to formally achieve arbitrary high order of convergence without any additional computational cost. We assess the methodology on the kinematic relations between the velocity and vorticity fields.

Year: 2012

Language: English

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4 Conference paper

A high order solver for the unbounded Poisson equation with specific application to the equations of fluid kinematics