Preconditioned methods for solving the incompressible low speed compressible equations
Journal of Computational Physics
Mixed and hybrid finite element methods
Mixed and hybrid finite element methods
Computer Methods in Applied Mechanics and Engineering
Stabilized finite element methods. II: The incompressible Navier-Stokes equations
Computer Methods in Applied Mechanics and Engineering
Fire-driven flows in enclosures
Journal of Computational Physics
Time-accurate calculation of variable density flows with strong temperature gradients and combustion
Journal of Computational Physics
Radiation models for thermal flows at low Mach number
Journal of Computational Physics
An anelastic allspeed projection method for gravitationally stratified flows
Journal of Computational Physics
Efficient computation of compressible and incompressible flows
Journal of Computational Physics
Letter to the editor: A triple level finite element method for large eddy simulations
Journal of Computational Physics
On physics-based preconditioning of the Navier-Stokes equations
Journal of Computational Physics
Journal of Computational Physics
A finite element dynamical nonlinear subscale approximation for the low Mach number flow equations
Journal of Computational Physics
Hi-index | 31.47 |
Thermal flows at low Mach numbers are a basic problem in combustion, environmental pollution prediction and atmospheric physics areas. Most of the existing schemes for solving this problem treat convection explicitly, which confines time step width due to the CFL condition. In this paper, based on the pseudo residual-free bubble approach [F. Brezzi, L.P. Franca, T.J.R. Hughes, A. Russo, b=@!g, Methods Appl. Mech. Eng. 145 (1997) 329-339; T.J.R. Hughes, Multiscale phenomena: Green's functions, the Dirichlet-to-Neumann formulation, subgrid scale models, bubbles and the origins of stabilised methods, Method. Appl. Mech. Eng. 127 (1995) 387-401], we introduce an implicit finite element scheme for the thermal flow problem. We firstly give a low Mach number asymptotics of compressible Navier-Stokes equations for the thermal flows and then derive the numerical scheme for them in detail. Three representative case studies are used to investigate and to test the numerical performances of the proposed scheme.