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| 1 | All Speed Scheme for the Low Mach Number Limit of the Isentropic Euler Equations显示文摘An all speed scheme for the Isentropic Euler equations is presented in thispaper. When the Mach number tends to zero, the compressible Euler equations converge to their incompressible counterpart, in which the density becomes a constant. Increasing approximation errors and severe stability constraints are the main difficultyin the low Mach regime. The key idea of our all speed scheme is the special semiimplicit time discretization, in which the low Mach number stiff term is divided intotwo parts, one being treated explicitly and the other one implicitly. Moreover, the fluxof the density equation is also treated implicitly and an elliptic type equation is derivedto obtain the density. In this way, the correct limit can be captured without requesting the mesh size and time step to be smaller than the Mach number. Compared withprevious semi-implicit methods [11,13,29], firstly, nonphysical oscillations can be suppressed by choosing proper parameter, besides, only a linear elliptic equation needs tobe solved implicitly which reduces much computational cost. We develop this semiimplicit time discretization in the framework of a first order Local Lax-Friedrichs (orRusanov) scheme and numerical tests are displayed to demonstrate its performances. | Pierre Degond Min Tang | 2011 | Communications in Computational Physics2011，10，6： | 1 |
| 2 | On a hierarchy of macroscopic models for semiconductor显示文摘 | Degond P | 1996 | J Math Phys1996，37，： | 1 |
| 3 | An energy-transport model for semiconductors derived from the Boltzmann equation显示文摘 | Degond P Génieys S | 1996 | J Stat Phys1996，84，： | 1 |
| 4 | A steady-state system in nonequilibrium thermodynamics including thermal and electrical effects显示文摘 | Génieys S Jüngel A | 1998 | Math Meth Appl Sci1998，21，： | 1 |
| 5 | A system of parabolic equations in nonequilibrium thermodynamics including thermal and electrical effects显示文摘 | Génieys S Jüngel A | 1997 | J Math Pures Appl1997，76，： | 1 |
| 6 | Regularity and uniqueness of solutions to a parabolic system in nonequilibrium thermodynamics显示文摘 | Génieys S Jüngel A | 2000 | Nonlin Anal2000，41，： | 1 |
| 7 | A model hierarchy for ionospheric plasma modelling显示文摘 | BESSE C CLAUDEL J DEGOND P | 2004 | M3AS2004，14，3： | 1 |
| 8 | An asymptotic preserving scheme for the Euler equations in a strong magnetic field显示文摘 | DEGOND P DELUZET F SANGAM A | 2009 | Journal of Computational Physics2009，228，10： | 1 |
| 9 | A modelhierarchy for ionospheric plasma modeling 显示文摘 | BESSE C DEGOND P DELUZET F | 2004 | MathModels Methods Appl Sci2004，14，： | 1 |
| 10 | Numericalapproximation of the Euler-Maxwell model in thequasineutral limit 显示文摘 | DEGOND P DELUZET F SAVELIEF D | 2012 | J Comput Phys2012，231，： | 1 |
| 11 | Traveling waves analysis and jump relations for the Euler-Poisson model in the quasineutral limit 显示文摘 | Degond P Markowich P and Schmeiser C | 1995 | Asymptotic Anal1995，11，： | 1 |
| 12 | Fast algorithms for numerical,conservative,and entropy approximations of the Fokker-Planck equation显示文摘 | Buet C Cordier S Degond P Lemou M | 1997 | J Comput Phys1997，133，： | 1 |
| 13 | Kinetic formulation and global existence for the Hall-Magneto-hydrodynamics system显示文摘 | ACHERITOGARAY M DEGOND P FROUVELLE A | 2011 | Kinet Relat Models2011，4，4： | 1 |
| 14 | Well-posedness for Hall-magnetohydrodynamics显示文摘 | DONGHO C DEGOND P LIU Jian-guo | 2014 | Ann Inst H Poincar Anal Non Lin6aire2014，31，3： | 1 |
| 15 | A moving interface method for dynamic kinetic-fluid coupling显示文摘 | Degond Pierre Dimarco Giacomo Mieussens Luc | | 0，，02： | 1 |
| 16 | The asymptotics of collision op-erators for two species of particles of disparate masses 显示文摘 | Degond P Lucquin-l-)esreux B | 1996 | Mathematical Models and Methods in Applied Sciences1996，6，3： | 1 |
| 17 | Asymptotic analysis of simple ioniza- tion kinetics of air flows at atmospheric pressure显示文摘 | Degond P Quinio G Rogier F | 2005 | Journal of Physics D: Applied Physics2005，38，2005： | 1 |
| 18 | A hybrid kinetic/fluid model for solving the gas dynamics Boltzmann-BGK equation显示文摘 | CROUSEILLES N DEGOND P LEMOU M | 2004 | Journal of Computational Physics2004，199，： | 1 |
| 19 | Modelling wire-towire corona discharge action on aerodynamics and comparison with experimcnt显示文摘 | J-C Mat eo-V elez Degond Rogier F | 2008 | J Phys D: Appl Phys2008，41，3： | 1 |
| 20 | Numerical Simulations of Rarefied Gases in Curved Channels: Thermal Creep, Circulating Flow, and Pumping Effect显示文摘We present numerical simulations of a new system of micro-pump based on the thermal creep effect described by the kinetic theory of gases.This device is made of a simple smooth and curved channel with a periodic temperature distribution.Using the Boltzmann-BGK model as the governing equation for the gas flow,we develop a numerical method based on a deterministic finite volume scheme,implicit in time,with an implicit treatment of the boundary conditions.This method is comparatively less sensitive to the slow flow velocity than the usual Direct Simulation Monte Carlo method in case of long devices,and turns out to be accurate enough to compute macroscopic quantities like the pressure field in the channel.Our simulations show the ability of the device to produce a one-way flow that has a pumping effect. | Kazuo Aoki Pierre Degond Luc Mieussens | 2009 | Communications in Computational Physics2009，6，10： | 1 |
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