Journal ArticleDOI
A conservative high order semi-Lagrangian WENO method for the Vlasov equation
Jing-Mei Qiu,Andrew Christlieb +1 more
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TLDR
A novel Vlasov solver based on a semi-Lagrangian method which combines Strang splitting in time with high order WENO (weighted essentially non-oscillatory) reconstruction in space is proposed, suggesting the use of high order reconstruction is advantageous when considering the Vlasova-Poisson system.About:
This article is published in Journal of Computational Physics.The article was published on 2010-02-01. It has received 127 citations till now. The article focuses on the topics: Strang splitting & Finite volume method.read more
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A positivity-preserving high-order semi-Lagrangian discontinuous Galerkin scheme for the Vlasov-Poisson equations
TL;DR: This work develops a method that discretizes the 1+1 Vlasov-Poisson system via a high-order discontinuous Galerkin (DG) method in phase space, and an operator split, semi-Lagrangian method in time, and shows how to resolve all of the Lagrangian dynamics in such a way that mass is exactly conserved, positivity is maintained, and high- order accuracy is achieved.
Journal ArticleDOI
Positivity preserving semi-Lagrangian discontinuous Galerkin formulation: Theoretical analysis and application to the Vlasov-Poisson system
Jing-Mei Qiu,Chi-Wang Shu +1 more
TL;DR: A new Strang split SL discontinuous Galerkin (DG) method for solving the Vlasov equation is proposed and the recently developed positivity preserving (PP) limiter is applied to the scheme to ensure the positivity of the unknown probability density function without affecting the high order accuracy of the base SL DG scheme.
Journal ArticleDOI
Conservative high order semi-Lagrangian finite difference WENO methods for advection in incompressible flow
Jing-Mei Qiu,Chi-Wang Shu +1 more
TL;DR: The proposed conservative semi-Lagrangian finite difference framework is coupled with high order essentially non-oscillatory (ENO or weighted ENO (WENO) reconstructions to achieve high order accuracy in smooth parts of the solution and to capture sharp interfaces without introducing spurious oscillations.
Journal ArticleDOI
On the velocity space discretization for the Vlasov-Poisson system: Comparison between implicit Hermite spectral and Particle-in-Cell methods
TL;DR: A spectral method for the numerical solution of the Vlasov–Poisson system where the velocity space is decomposed by means of an Hermite basis, and the configuration space is discretized via a Fourier decomposition.
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A Unified Gas Kinetic Scheme for Continuum and Rarefied Flows V: Multiscale and Multi-Component Plasma Transport
Chang Liu,Kun Xu +1 more
TL;DR: In this paper, a unified gas kinetic scheme (UGKS) is proposed for multi-scale and multi-component plasma simulation. But the UGKS is not suitable for the case of large mesh size scale.
References
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Book
Computer simulation using particles
R W Hockney,J W Eastwood +1 more
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.
Journal ArticleDOI
Efficient Implementation of Weighted ENO Schemes
Guang-Shan Jiang,Chi-Wang Shu +1 more
TL;DR: A new way of measuring the smoothness of a numerical solution is proposed, emulating the idea of minimizing the total variation of the approximation, which results in a fifth-order WENO scheme for the caser= 3, instead of the fourth-order with the original smoothness measurement by Liuet al.
Journal ArticleDOI
A fast algorithm for particle simulations
TL;DR: An algorithm is presented for the rapid evaluation of the potential and force fields in systems involving large numbers of particles whose interactions are Coulombic or gravitational in nature, making it considerably more practical for large-scale problems encountered in plasma physics, fluid dynamics, molecular dynamics, and celestial mechanics.
BookDOI
Plasma physics via computer simulation
TL;DR: In this article, the authors describe the theoretical effects of the spatial grid, energy-conserving simulation models, multipole models, and Kinetic theory for fluctuations and noise collisions.
Journal ArticleDOI
A hierarchical O(N log N) force-calculation algorithm
Josh Barnes,Piet Hut +1 more
TL;DR: A novel method of directly calculating the force on N bodies that grows only as N log N is described, using a tree-structured hierarchical subdivision of space into cubic cells, each is recursively divided into eight subcells whenever more than one particle is found to occupy the same cell.