High order semi-Lagrangian methods for the BGK equation
نویسندگان
چکیده
منابع مشابه
High Order Semi-Lagrangian Particle Methods
Semi-lagrangian (or remeshed) particle methods are conservative particle methods where the particles are remeshed at each time-step. The numerical analysis of these methods show that their accuracy is governed by the regularity and moment properties of the remeshing kernel and that their stability is guaranteed by a lagrangian condition which does not rely on the grid size. Turbulent transport ...
متن کاملHigh order time discretization for backward semi-Lagrangian methods
We introduce different high order time discretization schemes for backward semi-Lagrangian methods. These schemes are based on multi-step schemes like AdamsMoulton and Adams-Bashforth schemes combined with backward finite difference schemes. We apply these methods to transport equations for plasma physics applications and for the numerical simulation of instabilities in fluid mechanics. In the ...
متن کاملConvergence of a Semi-Lagrangian Scheme for the BGK Model of the Boltzmann Equation
Recently, a new class of semi-Lagrangian methods for the BGK model of the Boltzmann equation has been introduced [8, 17, 18]. These methods work in a satisfactory way either in rarefied or fluid regime. Moreover, because of the semi-Lagrangian feature, the stability property is not restricted by the CFL condition. These aspects make them very attractive for practical applications. In this paper...
متن کاملA conservative high order semi-Lagrangian WENO method for the Vlasov equation
Jing-Mei Qiu and Andrew Christlieb 3 Abstract In this paper, we propose a novel Vlasov solver based on a semi-Lagrangian method which combines Strang splitting in time with high order WENO (weighted essentially nonoscillatory) reconstruction in space. A key insight in this work is that the spatial interpolation matrices, used in the reconstruction process of a semi-Lagrangian approach to linear...
متن کاملHigh Order Semi-Lagrangian Methods for the Incompressible Navier-Stokes Equations
We propose a class of semi-Lagrangian methods of high approximation order in space and time, based on spectral element space discretizations and exponential integrators of Runge-Kutta type. The methods were presented in [7] for simpler convection-diffusion equations. We discuss the extension of these methods to the Navier-Stokes equations, and their implementation using projections. SemiLagrang...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Communications in Mathematical Sciences
سال: 2016
ISSN: 1539-6746,1945-0796
DOI: 10.4310/cms.2016.v14.n2.a4