Journal ArticleDOI
Computational electrodynamics in material media with constraint-preservation, multidimensional Riemann solvers and sub-cell resolution – Part I, second-order FVTD schemes
TLDR
A synthesis that integrates the strengths of both FDTD and Godunov-based schemes into a robust single formulation for CED in material media is presented, with special attention paid to a second-order-accurate formulation.About:
This article is published in Journal of Computational Physics.The article was published on 2017-11-15. It has received 30 citations till now. The article focuses on the topics: Godunov's scheme & Finite-difference time-domain method.read more
Citations
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Journal ArticleDOI
A Comprehensive Comparison of Relativistic Particle Integrators
Bart Ripperda,Fabio Bacchini,Jannis Teunissen,Chun Xia,Oliver Porth,Lorenzo Sironi,Giovanni Lapenta,Rony Keppens +7 more
TL;DR: In this article, the authors compare three explicit particle pushers, namely the Boris, Vay, and Higuera-Cary schemes, and present a new relativistic fully implicit particle integrator that is energy conserving.
Journal ArticleDOI
An efficient class of WENO schemes with adaptive order for unstructured meshes
TL;DR: By extending the Parallel Axis Theorem, it is shown that there is a significant simplification in the finite volume reconstruction of finite volume WENO-AO(4,3) and WenO- aO(5,3), which only requires the solution of a smaller least squares problem on each stencil.
Journal ArticleDOI
A hybridizable discontinuous Galerkin method for computing nonlocal electromagnetic effects in three-dimensional metallic nanostructures
TL;DR: The hybridizable discontinuous Galerkin (HDG) method is developed to solve Maxwell's equations augmented with the hydrodynamic model for the conduction-band electrons in noble metals, enabling the efficient simulation of plasmonic nanostructures while accounting for the nonlocal interactions between electrons and the incident light.
Journal ArticleDOI
On GLM curl cleaning for a first order reduction of the CCZ4 formulation of the Einstein field equations
TL;DR: Several numerical examples, including the long-time evolution of a stable neutron star in anti-Cowling approximation, are presented in order to show the obtained improvements with respect to the standard formulation without special treatment of the curl involution constraints.
Journal ArticleDOI
High order ADER schemes and GLM curl cleaning for a first order hyperbolic formulation of compressible flow with surface tension
TL;DR: Two novel reformulations of a recent weakly hyperbolic model for two-phase flow with surface tension are introduced, intended to restore the stronghyperbolicity of the model, and are closely related to divergence-preserving numerical approaches developed in the field of numerical magnetohydrodynamics (MHD).
References
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Journal ArticleDOI
Numerical solution of initial boundary value problems involving maxwell's equations in isotropic media
Abstract: Maxwell's equations are replaced by a set of finite difference equations. It is shown that if one chooses the field points appropriately, the set of finite difference equations is applicable for a boundary condition involving perfectly conducting surfaces. An example is given of the scattering of an electromagnetic pulse by a perfectly conducting cylinder.
Journal ArticleDOI
A perfectly matched layer for the absorption of electromagnetic waves
TL;DR: Numerical experiments and numerical comparisons show that the PML technique works better than the others in all cases; using it allows to obtain a higher accuracy in some problems and a release of computational requirements in some others.
Journal ArticleDOI
Towards the ultimate conservative difference scheme V. A second-order sequel to Godunov's method
TL;DR: In this article, a second-order extension of the Lagrangean method is proposed to integrate the equations of ideal compressible flow, which is based on the integral conservation laws and is dissipative, so that it can be used across shocks.
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
Efficient implementation of essentially non-oscillatory shock-capturing schemes,II
Chi-Wang Shu,Stanley Osher +1 more
TL;DR: Two methods of sharpening contact discontinuities-the subcell resolution idea of Harten and the artificial compression idea of Yang, which those authors originally used in the cell average framework-are applied to the current ENO schemes using numerical fluxes and TVD Runge-Kutta time discretizations.
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Efficient implementation of essentially non-oscillatory shock-capturing schemes,II
Chi-Wang Shu,Stanley Osher +1 more