, CALIF 3 S. A software components library for the computation of reactive turbulent flows
Conforming and nonconforming finite element methods for solving the stationary Stokes equations, RAIRO Série Rouge, vol.7, pp.33-75, 1973. ,
Ordinary differential equations, transport theory and Sobolev spaces, Inventiones mathematicae, vol.98, issue.3, pp.511-547, 1989. ,
The gradient discretisation method, vol.82, 2018. ,
URL : https://hal.archives-ouvertes.fr/hal-01382358
Theory and practice of finite elements, vol.159, 2013. ,
The finite volume method. Handbook for Numerical Analysis, 2000. ,
URL : https://hal.archives-ouvertes.fr/hal-00110911
A convergent finite element-finite volume scheme for the compressible Stokes problem, Part II: the isentropic case. Mathematics of Computation, vol.79, pp.649-675, 2010. ,
URL : https://hal.archives-ouvertes.fr/hal-00359140
On compactness of solutions to the compressible isentropic Navier-Stokes equations when the density is not square integrable, vol.42, pp.83-98, 2001. ,
Mathematical theory of compressible viscous fluids. Advances in Mathematical Fluid Mechanics, Lecture Notes in Mathematical Fluid Mechanics, 2016. ,
Convergence of a mixed finite element-finite volume scheme for the isentropic Navier-Stokes system via dissipative measure-valued solutions, Foundations of Computational Mathematics, vol.18, issue.3, pp.703-730, 2018. ,
Convergence of a finite volume scheme for the compressible NavierStokes system, ESAIM: M2AN, vol.53, pp.1957-1979, 2019. ,
Numerical approximation of the general compressible Stokes problem, IMA Journal of Numerical Analysis, vol.33, issue.3, pp.922-951, 2013. ,
URL : https://hal.archives-ouvertes.fr/hal-01116755
An unconditionally stable pressure correction scheme for compressible barotropic Navier-Stokes equations, Mathematical Modelling and Numerical Analysis, vol.42, pp.303-331, 2008. ,
A convergent finite element-finite volume scheme for the compressible Stokes problem. part I: The isothermal case, Mathematics of Computation, vol.78, issue.267, pp.1333-1352, 2009. ,
W 1,q stability of the Fortin operator for the MAC scheme, Calcolo, vol.49, issue.1, pp.63-71, 2012. ,
, Convergence of the MAC scheme for the compressible stationary Navier-Stokes equations. Mathematics of Computation, vol.87, pp.1127-1163, 2018.
Error estimates for a numerical approximation to the compressible barotropic Navier-Stokes equations, IMA Journal of Numerical Analysis, vol.36, issue.2, pp.543-592, 2015. ,
Finite element methods for Navier-Stokes equations: theory and algorithms, vol.5, 2012. ,
Numerical calculation of almost incompressible flow, Journal of Computational Physics, vol.3, pp.80-93, 1968. ,
A numerical fluid dynamics calculation method for all flow speeds, Journal of Computational Physics, vol.8, pp.197-213, 1971. ,
Numerical calculation of time-dependent viscous incompressible flow of fluid with free surface, Physics of Fluids, vol.8, pp.2182-2189, 1965. ,
Low mach number limit of some staggered schemes for compressible barotropic flows, 2018. ,
URL : https://hal.archives-ouvertes.fr/hal-01672909
A convergent FEM-DG method for the compressible Navier-Stokes equations, Numerische Mathematik, vol.125, issue.3, pp.441-510, 2013. ,
How to preserve the mass fractions positivity when computing compressible multicomponent flows, Journal of Computational Physics, vol.95, pp.59-84, 1991. ,
URL : https://hal.archives-ouvertes.fr/inria-00075479
A discrete kinetic energy preserving convection operator for variable density flows on locally refined staggered meshes, 2018. ,
A convergent staggered scheme for the variable density incompressible Navier-Stokes equations, Math. Comp, vol.87, issue.310, pp.581-632, 2018. ,
, Compressible Models, vol.2, 1998.
On the existence of weak solutions to the steady compressible Navier-Stokes equations when the density is not square integrable, Journal of Mathematics of Kyoto University, vol.42, issue.3, pp.531-550, 2002. ,
Introduction to the mathematical theory of compressible flow, vol.27, 2004. ,
Steady 3d viscous compressible flows with adiabatic exponent ?(1,), Journal de Mathématiques Pures et Appliquées, vol.104, issue.1, pp.58-82, 2015. ,
Simple nonconforming quadrilateral Stokes element, Numerical Methods for Partial Differential Equations, vol.8, pp.97-111, 1992. ,
Basic compactness properties of nonconforming and hybrid finite element spaces. ESAIM: Mathematical Modelling and Numerical Analysis-Modélisation Mathématique et Analyse Numérique, vol.14, pp.81-115, 1980. ,