Stability Analysis of Time Stepping for Prolonged Plasma Fluid Simulations

Autor:	Rowena Ball, Ryusuke Numata, Linda Stals
Rok vydání:	2009
Předmět:	Backward differentiation formula Applied Mathematics Numerical analysis Linear system System of linear equations Computational Mathematics Runge–Kutta methods Nonlinear system Physics::Plasma Physics Applied mathematics Algorithm Numerical stability Mathematics Linear multistep method
Zdroj:	SIAM Journal on Scientific Computing. 31:961-986
ISSN:	1095-7197 1064-8275
Popis:	The Hasegawa-Wakatani system of equations may be used to predict and study the behavior of plasma flow. Stability analysis of the flow requires results over prolonged time series, which places a great strain on computational resources. Results can only be achieved for a wide choice of parameters by using numerical methods that allow long time steps and do not pollute the results with numerical instabilities. The report presents an analysis of several linear multistep methods and concludes that much of the understanding of the stability of linear systems also applies to the study of nonlinear problems such as the Hasegawa-Wakatani system of equations. In particular, methods such as the backward differentiation formulas should be used with the stiff systems generated by the discrete formulation of the Hasegawa-Wakatani system of equations.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::a3dc29534d8553c4114c5f75ec57ae2c https://doi.org/10.1137/070703569 Zobrazit plný text záznamu Plný text ve formátu PDF