In this paper we review two different numerical methods for Vlasov-Maxwell simulations. The first method is based on a coupling between a Discontinuous Galerkin (DG) Maxwell solver and a Particle-In-Cell (PIC) Vlasov solver. The second method only uses a DG approach for the Vlasov and Maxwell equations. The Vlasov equation is first reduced to a […]

March 12, 2014 by hgpu

In this paper we present three-dimensional numerical simulations of electromagnetic waves. The Maxwell equations are solved by the Discontinuous Galerkin (DG) method. For achieving high performance, we exploit two levels of parallelism. The coarse grain parallelism is managed through MPI and a classical domain decomposition. The fine grain parallelism is managed with OpenCL in order […]

December 29, 2013 by hgpu

Among several techniques available for solving Computational Electromagnetics (CEM) problems, the Finite Difference Time Domain (FDTD) method is one of the best suited approaches when a parallelized hardware platform is used. In this paper we investigate the feasibility of implementing the FDTD method using the NVIDIA GT 520, a low cost Graphical Processing Unit (GPU), […]

May 3, 2013 by hgpu

In this thesis, we examine the optical properties of metallic nanostructures with typical feature sizes of the order of visible light. The interaction of light with such structures can be accurately described by classical electrodynamics. Thus, for the analysis of metallic nanostructures within this thesis, we will employ Maxwell’s equations [1] to model the physical […]

January 22, 2013 by hgpu

We present several numerical simulations of conservation laws on recent multicore processors, such as GPU’s, using the OpenCL programming framework. Depending on the chosen numerical method, different implementation strategies have to be considered, for achieving the best performance. We explain how to program efficiently three methods: a finite volume approach on a structured grid, a […]

December 2, 2012 by hgpu

We present an implementation of a Vlasov-Maxwell solver for multicore processors. The Vlasov equation describes the evolution of charged particles in an electromagnetic field, solution of the Maxwell equations. The Vlasov equation is solved by a Particle-In-Cell method (PIC), while the Maxwell system is computed by a Discontinuous Galerkin method. We use the OpenCL framework, […]

September 24, 2012 by hgpu

Numerical solution models to Maxwell’s equations, which describe electromagnetic wave propagation phenomenon with complete clarity, are of atmost importance in pre-fabrication simulation analyses of the photonic and optoelectronic devices. The Finite Difference Time Domain (FDTD) method, which is based on modeling the differential equations as difference equations in a discretized domain in both space and […]

July 13, 2012 by hgpu

Finite difference time domain (FDTD) is a numerical method for solving differential equations like Maxwell’s equations. Normally, simulation time of these equations is very long and there has been a great effort to reduce it. The most recent and useful way to reduce the simulation time of these equations is through using GPUs. Graphical processing […]

March 10, 2012 by hgpu

Among the compute intensive applications, the FDTD (Finite-Difference-Time-Domain) allows to solve time-dependent differential equations. This method is commonly used in electromagnetism to find solutions to Maxwell equations. Although considered as powerful and flexible, the FDTD algorithm has the disadvantage of having a huge numerical dispersion due to nested loops, which are loops inside other loops […]

January 2, 2012 by hgpu

The Finite-Difference Time-Domain (FDTD) solution of Maxwell’s equations, a grid-based differential time-domain numerical modeling method, is an approach for the direct modelling of the penetration of structures by continuous plane waves. Although FDTD techniques are considered to be relatively easy to understand and to implement in software, such modelling methods require a high level of […]

December 9, 2011 by hgpu

We present a three-dimensional finite difference time domain (FDTD) method on graphics processing unit (GPU) for plasmonics applications. For the simulation of plasmonics devices, the Lorentz-Drude (LD) dispersive model is incorporated into Maxwell equations, while the auxiliary differential equation (ADE) technique is applied to the LD model. Our numerical experiments based on typical domain sizes […]

December 2, 2011 by hgpu

The Finite-Difference Time-Domain (FDTD) solution of Maxwell’s equations, a grid-based differential time-domain numerical modeling method, is an approach for the direct modelling of the penetration of structures by continuous plane waves. Although FDTD techniques are considered to be relatively easy to understand and to implement in software, such modelling methods require a high level of […]

October 23, 2011 by hgpu