Numerical Approximation of the Euler-Poisson-Boltzmann Model in the Quasineutral Limit
نویسندگان
چکیده
This paper analyzes various schemes for the Euler-Poisson-Boltzmann (EPB) model of plasma physics. This model consists of the pressureless gas dynamics equations coupled with the Poisson equation and where the Boltzmann relation relates the potential to the electron density. If the quasi-neutral assumption is made, the Poisson equation is replaced by the constraint of zero local charge and the model reduces to the Isothermal Compressible Euler (ICE) model. We compare a numerical strategy based on the EPB model to a strategy using a reformulation (called REPB formulation). The REPB scheme captures the quasi-neutral limit more accurately.
منابع مشابه
Travelling Wave Analysis and Jump Relations for Euler-poisson Model in the Quasineutral Limit
This paper is devoted to the travelling wave analysis of the Euler-Poisson model for a plasma consisting of electrons and ions. When the Debye length tends to 0, this system leads to a nonlinear hyperbolic system in a nonconservative form called quasineutral Euler system. Our aim is to determine the admissible jump relations and shock solutions for the quasineutral Euler system as limits of tra...
متن کاملAn asymptotic preserving scheme for the two-fluid Euler-Poisson model in the quasineutral limit
This paper deals with the modeling of a plasma in the quasi-neutral limit using the two-fluid Euler-Poisson system. In this limit, explicit numerical schemes suffer from severe numerical constraints related to the small Debye length and large plasma frequency. Here, we propose an implicit scheme which reduces to a scheme for the quasi-neutral Euler model in the quasi-neutral limit. Such a prope...
متن کاملAnalysis of an Asymptotic Preserving Scheme for the Euler-Poisson System in the Quasineutral Limit
In a previous work [8], a new numerical discretization of the Euler-Poisson system has been proposed. This scheme is ’Asymptotic Preserving’ in the quasineutral limit (i.e. when the Debye length ε tends to zero), which means that it becomes consistent with the limit model when ε → 0. In the present work, we show that the stability domain of the present scheme is independent of ε. This stability...
متن کاملQuasineutral limit of the Euler-Poisson system for ions in a domain with boundaries
We study the quasineutral limit of the isothermal Euler-Poisson system describing a plasma made of ions and massless electrons. The analysis is achieved in a domain of R and thus extends former results by Cordier and Grenier [Comm. Partial Differential Equations, 25 (2000), pp. 1099–1113], who dealt with the same problem in a one-dimensional domain without boundary.
متن کاملConvergence of a Singular Euler-poisson Approximation of the Incompressible Navier-stokes Equations
In this note, we rigorously justify a singular approximation of the incompressible Navier-Stokes equations. Our approximation combines two classical approximations of the incompressible Euler equations: a standard relaxation approximation, but with a diffusive scaling, and the Euler-Poisson equations in the quasineutral regime.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید
ثبت ناماگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید
ورودعنوان ژورنال:
- J. Sci. Comput.
دوره 51 شماره
صفحات -
تاریخ انتشار 2012