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Implicit–explicit time integration of a high-order particle-in-cell method with hyperbolic divergence cleaning
2009
Computer Physics Communications
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A high-order implicit-explicit additive Rung-Kutta time integrator is implemented in a particle-in-cell method based on a high-order discontinuous Galerkin Maxwell solver for simulation of plasmas. ...
The method satisfies Gauss law using a hyperbolic divergence cleaner that transports divergence out of the computational domain at several times the speed of light. ...
We conclude finally that the implicit-explicit method should be generally applicable to particle-mesh methods that have a discrepancy in stiffness between the continuum and particle phase. ...
doi:10.1016/j.cpc.2009.05.020
fatcat:npc772tjwbce5i44dfxsa357ne
A particle-in-cell method for the simulation of plasmas based on an unconditionally stable field solver
2016
Journal of Computational Physics
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We propose a new particle-in-cell (PIC) method for the simulation of plasmas based on a recently developed, unconditionally stable solver for the wave equation. ...
We describe the implementation in one and two dimensions for both electrostatic and electromagnetic cases, and present the results of several standard test problems, showing good agreement with theory ...
with hyperbolic divergence cleaning. ...
doi:10.1016/j.jcp.2016.08.006
fatcat:ieqgy2fp5vfgpc56bgygatbrna
A geometric multigrid library for quadtree/octree AMR grids coupled to MPI-AMRVAC
[article]
2019
arXiv
pre-print
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Periodic, Dirichlet, and Neumann boundary conditions can be handled, as well as free-space boundary conditions for 3D Poisson problems, for which we use an FFT-based solver on the coarse grid. ...
Several test cases are presented in which the multigrid routines are used to control the divergence of the magnetic field in magnetohydrodynamic simulations. ...
The computational resources and services used in this work were provided by the VSC (Flemish Supercomputer Center), funded by the Research Foundation -Flanders (FWO) and the Flemish Government -department ...
arXiv:1901.11370v2
fatcat:j5wgmrw6ofbfzpgynkp4fknmeu
Mesh-free Hamiltonian implementation of two dimensional Darwin model
2017
Physics of Plasmas
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needs additional 55 'divergence cleaning' techniques to enforce the Coulomb 56 gauge condition ∇ · A 2,3 . ...
12 procedures typically required by particle-in-cell (PIC) methods. ...
In 468 contrast to most Darwin PIC codes, no divergence clean-469 ing is needed with the present method. ...
doi:10.1063/1.4994705
fatcat:77kmwf72hvbqrgmbg63u2cryua
Simulations of electromagnetic effects in high-frequency capacitively coupled discharges using the Darwin approximation
2013
Journal of Physics D: Applied Physics
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2012 pre-print arXiv:1208.3627v1 fatcat:ssfoio7k6neifmj6f4ecsv4mamOther Versions
The algorithm described here avoids iterative schemes needed for the divergence cleaning and represents a fast and efficient solver, which can be used in fluid and kinetic models for self-consistent description ...
The Darwin approximation offers a simple and efficient way of carrying out electromagnetic simulations as it removes the Courant condition plaguing explicit electromagnetic algorithms and can be implemented ...
fields designed in 382 this work can be also used in a Particle-in-Cell code. ...
doi:10.1088/0022-3727/46/8/084017
fatcat:cpf3urkwnjdj3m3fw3xankvgjy
Magnetic Fluctuations in Gyrokinetic Simulations of Tokamak Scrape-Off Layer Turbulence
[article]
2021
arXiv
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be handled in a robust, stable, and efficient manner in the gyrokinetic module of the Gkeyll code. ...
We also formulate the gyrokinetic system in field-aligned coordinates for modeling realistic edge and scrape-off layer geometries in experiments. ...
We use periodic boundary conditions in z and zero-flux boundary conditions in v .
Figure 3 . 2 : 32 Φ h (blue) and ∂A h /∂t (yellow) for the case withβ = 10 and k ⊥ ρ s = 0.01. ...
arXiv:2103.16062v1
fatcat:vwko7fzlhzeevczpwakvn67yye
A high resolution wave propagation scheme for ideal Two-Fluid plasma equations
2006
Journal of Computational Physics
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In the first approach Maxwell equations are rewritten in their mixed-potential form. ...
In the second approach the so-called perfectly hyperbolic form of Maxwell equations are used which explicitly incorporate the divergence equations into the time stepping scheme. ...
Acknowledgments The authors acknowledge computer time on the Ladon Supercomputer belonging to the Mechanical Engineering Department of the University of Washington, Seattle. ...
doi:10.1016/j.jcp.2006.03.036
fatcat:wtzcar3cszhvppdszu72dnl42m
MAGNETOHYDRODYNAMIC MODELING OF SOLAR SYSTEM PROCESSES ON GEODESIC GRIDS
2013
Astrophysical Journal Supplement Series
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2013 pre-print arXiv:1302.2087v1 fatcat:gi5fpvnlzbf4xhox2xrk7jpr2y
The code employs HLL-type approximate Riemann solvers and includes facilities to control the divergence of magnetic field and maintain pressure positivity. ...
Multiple populations of plasma and neutral particles, coupled via charge-exchange interactions, can be simulated simultaneously with this model. ...
For explicit methods, this requires a small global time step to satisfy the Courant stability condition for a system of hyperbolic conservation laws for the entire grid (implicit or semi-implicit methods ...
doi:10.1088/0067-0049/205/2/19
fatcat:izuzl3kj6zg7tpm4l65xqsrjfu
Three-dimensional microscale simulation of colloidal particle transport and deposition in model porous media with converging/diverging geometries
2018
Colloids and Surfaces A: Physicochemical and Engineering Aspects
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The declining trend observed for high Pe is in good agreement with experimental and simulation results found in the literature. ...
microscale simulation of colloidal particle transport and deposition in model porous media with converging/diverging geometries -Colloids and Surfaces The microscale simulation of colloidal particle transport ...
Acknowledgement This work was supported in part by the China Scholarship Council (CSC) under the Grant CSC N°201506260062. ...
doi:10.1016/j.colsurfa.2018.02.034
fatcat:mshirs4fqndzdn3iouqnbo4ccq
Modeling and Simulating Flowing Plasmas and Related Phenomena
2008
Space Science Reviews
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The magnetohydrodynamic (MHD), test-particle/Monte-Carlo and hybrid models used in simulating flowing plasmas are described. ...
Solving (1.1)-(1.2) together with Maxwell's equations (1.3)-(1.6) for every electron and ion in a plasma is an intractable task. ...
Some simulations will use periodic boundary conditions on the side boundaries. This can be potentially dangerous. ...
doi:10.1007/s11214-008-9384-6
fatcat:yttni2uyerbqpmiegsdyuibt3a
Computational analysis of transport in three-dimensional heterogeneous materials
2020
Computing and Visualization in Science
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Transport equations are thus solved in a finite-volume formulation with quasi-periodic boundary conditions to simplify the upscaling problem by solving simple closure problems consistent with the classical ...
Then, heat transfer problems are considered in a pipe with layers of deposited particles of different heights, and in heterogeneous anisotropic materials. ...
Acknowledgements MI acknowledge the financial support of AVL and the computational resources provided by the Warwick Centre for Scientific Computing. ...
doi:10.1007/s00791-020-00321-6
fatcat:gyl26hpty5furmyob6hvf34myy
Computational analysis of transport in three-dimensional heterogeneous materials
[article]
2019
arXiv
pre-print
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Transport equations are thus solved in a finite-volume formulation with quasi-periodic boundary conditions to simplify the upscaling problem by solving simple closure problems consistent with the classical ...
Then, heat transfer problems are considered in a pipe with layers of deposited particles of different heights, and in heterogeneous anisotropic materials. ...
Acknowledgements MI acknowledge the financial support of AVL and the computational resources provided by the Warwick Centre for Scientific Computing. ...
arXiv:1909.02830v1
fatcat:qqmhhqkfwvb7dnb33r267vz2pe
Two-way coupling of magnetohydrodynamic simulations with embedded particle-in-cell simulations
2017
Computer Physics Communications
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2017 pre-print arXiv:1708.02877v1 fatcat:5ffoxtfpkbdejlrba7umxx467e
In this two-way coupling we follow the work of Daldorff et al. in which the PIC domain receives its initial and boundary conditions from MHD variables (MHD to PIC coupling) while the MHD simulation is ...
We describe a method for coupling an embedded domain in a magnetohydrodynamic (MHD) simulation with a particle-in-cell (PIC) method. ...
For the wave simulations shown below, we use the diffusive approach of [24] , [27] , whereas for the reconnection simulations we follow a hyperbolic divergence cleaning method (glm3) as in [22] [28 ...
doi:10.1016/j.cpc.2017.08.003
fatcat:duhusbdjffdfbpw7vwwtlbksnm
A discontinuous Galerkin method for the Vlasov–Poisson system
2012
Journal of Computational Physics
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of the electric field through mesh interfaces and boundary conditions. ...
In particular, computed results are benchmarked against established theoretical results for linear advection and the phenomenon of linear Landau damping for both the Maxwell and Lorentz distributions. ...
The piecewise approximation is then used in conjunction with a slope limiter to reconstruct a local polynomial approximation of f for each cell in the mesh. ...
doi:10.1016/j.jcp.2011.09.020
fatcat:hvpvpcckeffqtnvpfukwy4n2ze
A discontinuous Galerkin method for the Vlasov-Poisson system
[article]
2011
arXiv
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of the electric field through mesh interfaces and boundary conditions. ...
In particular, computed results are benchmarked against established theoretical results for linear advection and the phenomenon of linear Landau damping for both the Maxwell and Lorentz distributions. ...
The piecewise approximation is then used in conjunction with a slope limiter to reconstruct a local polynomial approximation of f for each cell in the mesh. ...
arXiv:1009.3046v2
fatcat:no3bgdc25rarhgjta3m5lsyfx4
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