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A high-order accurate particle-in-cell method Edwards, Essex
Abstract
We propose the use of high-order accurate interpolation and approximation schemes alongside high-order accurate time integration methods to enable high-order accurate Particle-in-Cell methods. The key insight is to view the unstructured set of particles as the underlying representation of the continuous fields; the grid used to evaluate integro-differential coupling terms is purely auxiliary. We also include a novel regularization term to avoid the accumulation of noise in the particle samples without harming the convergence rate. We include numerical examples for several model problems: advection-diffusion, shallow water, and incompressible Navier-Stokes in vorticity formulation. The implementation demonstrates fourth-order convergence, shows very low numerical dissipation, and is competitive with high-order accurate Eulerian schemes.
Item Metadata
Title |
A high-order accurate particle-in-cell method
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Creator | |
Publisher |
University of British Columbia
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Date Issued |
2010
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Description |
We propose the use of high-order accurate interpolation and approximation schemes alongside high-order accurate time integration methods to enable high-order accurate Particle-in-Cell methods. The key insight is to view the unstructured set of particles as the underlying representation of the continuous fields;
the grid used to evaluate integro-differential coupling terms is purely auxiliary. We also include a novel regularization term to avoid the accumulation of noise in the particle samples without harming the convergence rate. We include numerical examples for several model problems: advection-diffusion, shallow water, and incompressible Navier-Stokes in vorticity formulation. The implementation demonstrates fourth-order convergence, shows very low numerical dissipation, and is competitive with high-order accurate Eulerian schemes.
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Genre | |
Type | |
Language |
eng
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Date Available |
2010-06-30
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Provider |
Vancouver : University of British Columbia Library
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Rights |
Attribution-NonCommercial-NoDerivatives 4.0 International
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DOI |
10.14288/1.0051882
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URI | |
Degree | |
Program | |
Affiliation | |
Degree Grantor |
University of British Columbia
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Graduation Date |
2010-11
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Campus | |
Scholarly Level |
Graduate
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Rights URI | |
Aggregated Source Repository |
DSpace
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Rights
Attribution-NonCommercial-NoDerivatives 4.0 International