Implicit-explicit Runge-Kutta methods for time-dependent partial differential equations, Applied Numerical Mathematics, vol.25, issue.2-3, pp.151-167, 1997. ,
DOI : 10.1016/S0168-9274(97)00056-1
Uniformly stable numerical schemes for the Boltzmann equation preserving the compressible Navier???Stokes asymptotics, Journal of Computational Physics, vol.227, issue.8, pp.3781-3803, 2008. ,
DOI : 10.1016/j.jcp.2007.11.032
URL : https://hal.archives-ouvertes.fr/hal-00348598
A model for collision processes in gases. I. Small amplitude processes in charged and neutral one-component sys- tems ,
Molecular Gas Dynamics and the Direct Simulation of Gas Flows. Oxford Engineering Science Series, 1994. ,
The discrete Boltzmann equation. Lecture Notes at University of California, pp.1-65, 1980. ,
The Boltzmann Equation and Its Applications, 1988. ,
DOI : 10.1007/978-1-4612-1039-9
A unified gas kinetic scheme with moving mesh and velocity space adaptation, Journal of Computational Physics, vol.231, issue.20, pp.6643-6664, 2012. ,
DOI : 10.1016/j.jcp.2012.05.019
Kinetic-Theoretic Description of the Formation of a Shock Wave, Physics of Fluids, vol.8, issue.1, pp.12-22, 1965. ,
DOI : 10.1063/1.1761077
Abstract, Communications in Computational Physics, vol.39, issue.05, pp.1562-1587, 2012. ,
DOI : 10.1016/j.jcp.2006.02.014
Modeling and Computational Methods for Kinetic Equations. Modeling and Simulation in Science, Engineering and Technology, 2004. ,
Exponential Runge???Kutta Methods for Stiff Kinetic Equations, SIAM Journal on Numerical Analysis, vol.49, issue.5, pp.2057-2077, 2011. ,
DOI : 10.1137/100811052
URL : https://hal.archives-ouvertes.fr/hal-00992113
Coupling an Eulerian Fluid Calculation to a Lagrangian Solid Calculation with the Ghost Fluid Method, Journal of Computational Physics, vol.175, issue.1, pp.200-224, 2002. ,
DOI : 10.1006/jcph.2001.6935
A Non-oscillatory Eulerian Approach to Interfaces in Multimaterial Flows (the Ghost Fluid Method), Journal of Computational Physics, vol.152, issue.2, pp.457-492, 1999. ,
DOI : 10.1006/jcph.1999.6236
A class of asymptotic-preserving schemes for kinetic equations and related problems with stiff sources, Journal of Computational Physics, vol.229, issue.20, pp.7625-7648, 2010. ,
DOI : 10.1016/j.jcp.2010.06.017
URL : https://hal.archives-ouvertes.fr/hal-00659668
An inverse Lax???Wendroff method for boundary conditions applied to Boltzmann type models, Journal of Computational Physics, vol.245, pp.43-61, 2013. ,
DOI : 10.1016/j.jcp.2013.03.015
URL : https://hal.archives-ouvertes.fr/hal-00732107
A Second-Order-Accurate Symmetric Discretization of the Poisson Equation on Irregular Domains, Journal of Computational Physics, vol.176, issue.1, pp.205-227, 2002. ,
DOI : 10.1006/jcph.2001.6977
A simple second order cartesian scheme for compressible Euler flows, Journal of Computational Physics, vol.231, issue.23, pp.7780-7794, 2012. ,
DOI : 10.1016/j.jcp.2012.07.014
URL : https://hal.archives-ouvertes.fr/hal-00701277
Developments in Cartesian cut cell methods, Mathematics and Computers in Simulation, vol.61, issue.3-6, pp.3-6, 2003. ,
DOI : 10.1016/S0378-4754(02)00107-6
Efficient Implementation of Weighted ENO Schemes, Journal of Computational Physics, vol.126, issue.1, pp.202-228, 1996. ,
DOI : 10.1006/jcph.1996.0130
A unified moving grid gas-kinetic method in Eulerian space for viscous flow computation, Journal of Computational Physics, vol.222, issue.1, pp.155-175, 2007. ,
DOI : 10.1016/j.jcp.2006.07.015
Efficient Asymptotic-Preserving (AP) Schemes For Some Multiscale Kinetic Equations, SIAM Journal on Scientific Computing, vol.21, issue.2, pp.441-454, 1999. ,
DOI : 10.1137/S1064827598334599
Asymptotic preserving (AP) schemes for multiscale kinetic and hyperbolic equations: a review, pp.177-216, 2012. ,
Microflows and nanoflows : fundamentals and simulation, 2005. ,
Additive Runge-Kutta schemes for convection-diffusionreaction equations, Applied Numerical Mathematics, vol.44, issue.12, 2003. ,
Experimental Determination of Jet Spreading from Supersonic Nozzles at High Altitudes, 1959. ,
Studies of the spreading of rocket exhaust jets at high altitudes, Planetary and Space Science, vol.4, pp.77-91, 1961. ,
DOI : 10.1016/0032-0633(61)90124-6
Discrete-Velocity Models and Numerical Schemes for the Boltzmann-BGK Equation in Plane and Axisymmetric Geometries, Journal of Computational Physics, vol.162, issue.2, pp.429-466, 2000. ,
DOI : 10.1006/jcph.2000.6548
Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations, Journal of Computational Physics, vol.79, issue.1, 1988. ,
DOI : 10.1016/0021-9991(88)90002-2
Implicit?Explicit Runge?Kutta Schemes and Applications to Hyperbolic Systems with Relaxation, Journal of Scientific Computing, vol.25, issue.1, pp.129-155, 2005. ,
Efficient asymptotic preserving deterministic methods for the Boltzmann equation. Models and Computational Methods for Rarefied Flows, AVT-194 RTO AVT/VKI, 2011. ,
Flow patterns around heart valves: A numerical method, Journal of Computational Physics, vol.10, issue.2, pp.252-271, 1972. ,
DOI : 10.1016/0021-9991(72)90065-4
Implicit???Explicit Schemes for BGK Kinetic Equations, Journal of Scientific Computing, vol.120, issue.1, pp.1-28, 2007. ,
DOI : 10.1007/s10915-006-9116-6
Microscopically implicit???macroscopically explicit schemes for the BGK equation, Journal of Computational Physics, vol.231, issue.2, pp.299-327, 2012. ,
DOI : 10.1016/j.jcp.2011.08.027
Fast Marching Methods, SIAM Review, vol.41, issue.2, pp.199-235, 1999. ,
DOI : 10.1137/S0036144598347059
The Dynamics and Thermodynamics of Compressible Fluid Flow, 1953. ,
A unified gas-kinetic scheme for continuum and rarefied flows, Journal of Computational Physics, vol.229, issue.20, pp.7747-7764, 2010. ,
DOI : 10.1016/j.jcp.2010.06.032
A cartesian cut cell method for compressible flows. Part A. static body problems, Aeronaut. J. pp, pp.47-56, 1997. ,
10 5.2 Impermeability boundary condition, p.12 ,
13 5.3.1 First order Euler-AP scheme, p.14 ,