Title :

Residual equilibrium schemes for time dependent partial differential equations

Author(s) :

Pareschi, Lorenzo [Auteur]
Dipartimento di Matematica e Informatica = Department of Mathematics and Computer Science [Ferrara] [DMCS]
Rey, Thomas [Auteur]
Reliable numerical approximations of dissipative systems [RAPSODI]
Laboratoire Paul Painlevé - UMR 8524 [LPP]

Journal title :

Computers and Fluids

Publisher :

Elsevier

Publication date :

2017-10-12

ISSN :

0045-7930

English keyword(s) :

shallow-water
steady-states preserving
well-balanced schemes
Fokker-Planck equations
micro-macro decomposition

HAL domain(s) :

Mathématiques [math]/Equations aux dérivées partielles [math.AP]

English abstract : [en]

Many applications involve partial differential equations which admits nontrivial steady state solutions. The design of schemes which are able to describe correctly these equilibrium states may be challenging for numerical ...
Show more >Many applications involve partial differential equations which admits nontrivial steady state solutions. The design of schemes which are able to describe correctly these equilibrium states may be challenging for numerical methods, in particular for high order ones. In this paper, inspired by micro-macro decomposition methods for kinetic equations, we present a class of schemes which are capable to preserve the steady state solution and achieve high order accuracy for a class of time dependent partial differential equations including nonlinear diffusion equations and kinetic equations. Extension to systems of conservation laws with source terms are also discussed.Show less >

Language :

Anglais

Popular science :

Non

ANR Project :

Centre Européen pour les Mathématiques, la Physique et leurs Interactions

Comment :

23 pages, 12 figures

Collections :

• Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL