Publication

Finite element approach to global gyrokinetic Particle-In-Cell simulations using magnetic coordinates

Olivier Sauter, Laurent Villard, Jan Vaclavik, Kurt Appert, Stephan Brunner, Trach-Minh Tran
1998
Journal Articles

Abstract

We present a fully-global linear gyrokinetic simulation code (GYGLES) aimed at describing the unstable spectrum of the ion-temperature-gradient modes in toroidal geometry. We formulate the Particle-In-Cell method with finite elements defined in magnetic coordinates, which provides excellent numerical convergence properties. The poloidal mode structure corresponding to k(parallel to) = 0 is extracted without approximation from the equations, which reduces drastically the numerical resolution needed. The code can simulate routinely modes with both very long and very short toroidal wavelengths, can treat realistic (MHD) equilibria of any size, and runs on a massively parallel computer. (C) 1998 Elsevier Science B.V.

Official source

https://infoscience.epfl.ch/entities/publication/c974bb80-e99d-4d69-980c-cf5c6278fd81

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Olivier Sauter, Laurent Villard, Jan Vaclavik, Kurt Appert, Stephan Brunner, Trach-Minh Tran
1998
Journal Articles

Abstract

Official source

https://infoscience.epfl.ch/entities/publication/c974bb80-e99d-4d69-980c-cf5c6278fd81

About this result

Related concepts (32)

Massively parallel

Massively parallel is the term for using a large number of computer processors (or separate computers) to simultaneously perform a set of coordinated computations in parallel. GPUs are massively parallel architecture with tens of thousands of threads. One approach is grid computing, where the processing power of many computers in distributed, diverse administrative domains is opportunistically used whenever a computer is available. An example is BOINC, a volunteer-based, opportunistic grid system, whereby the grid provides power only on a best effort basis.

Parallel computing

Parallel computing is a type of computation in which many calculations or processes are carried out simultaneously. Large problems can often be divided into smaller ones, which can then be solved at the same time. There are several different forms of parallel computing: bit-level, instruction-level, data, and task parallelism. Parallelism has long been employed in high-performance computing, but has gained broader interest due to the physical constraints preventing frequency scaling.

Finite element method

The finite element method (FEM) is a popular method for numerically solving differential equations arising in engineering and mathematical modeling. Typical problem areas of interest include the traditional fields of structural analysis, heat transfer, fluid flow, mass transport, and electromagnetic potential. The FEM is a general numerical method for solving partial differential equations in two or three space variables (i.e., some boundary value problems).

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