Asymptotic solutions of numerical transport problems in optically thick, diffusive regimes
Journal of Computational Physics
Preconditioned methods for solving the incompressible low speed compressible equations
Journal of Computational Physics
Compressible and incompressible flow; an algorithm for all seasons
Computer Methods in Applied Mechanics and Engineering
An upwind differencing scheme for the incompressible Navier-Stokes equations
Applied Numerical Mathematics
Upwind finite-volume method with a triangular mesh for conservation laws
Journal of Computational Physics
The second-order projection method for the backward-facing step flow
Journal of Computational Physics
The importance of eigenvectors for local preconditioners of the Euler equations
Journal of Computational Physics
A numerical method for solving incompressible viscous flow problems
Journal of Computational Physics - Special issue: commenoration of the 30th anniversary
A projection method for low speed flows
Journal of Computational Physics
Efficient Asymptotic-Preserving (AP) Schemes For Some Multiscale Kinetic Equations
SIAM Journal on Scientific Computing
A high-resolution pressure-based algorithm for fluid flow at all speeds
Journal of Computational Physics
Numerical Approximations of Pressureless and Isothermal Gas Dynamics
SIAM Journal on Numerical Analysis
Mach-uniformity through the coupled pressure and temperature correction algorithm
Journal of Computational Physics
Journal of Computational Physics
An asymptotic preserving scheme for the two-fluid Euler-Poisson model in the quasineutral limit
Journal of Computational Physics
A Mach-uniform algorithm: Coupled versus segregated approach
Journal of Computational Physics
An All-Speed Roe-type scheme and its asymptotic analysis of low Mach number behaviour
Journal of Computational Physics
Analysis of an Asymptotic Preserving Scheme for the Euler-Poisson System in the Quasineutral Limit
SIAM Journal on Numerical Analysis
An Asymptotic Preserving scheme for the Euler equations in a strong magnetic field
Journal of Computational Physics
A method for avoiding the acoustic time step restriction in compressible flow
Journal of Computational Physics
Analysis of Godunov type schemes applied to the compressible Euler system at low Mach number
Journal of Computational Physics
Journal of Computational Physics
The influence of cell geometry on the Godunov scheme applied to the linear wave equation
Journal of Computational Physics
The momentum interpolation method based on the time-marching algorithm for All-Speed flows
Journal of Computational Physics
Self-organized hydrodynamics with congestion and path formation in crowds
Journal of Computational Physics
An accurate low-Mach scheme for a compressible two-fluid model applied to free-surface flows
Journal of Computational Physics
Phase Appearance or Disappearance in Two-Phase Flows
Journal of Scientific Computing
Hi-index | 31.46 |
We present an Asymptotic-Preserving 'all-speed' scheme for the simulation of compressible flows valid at all Mach-numbers ranging from very small to order unity. The scheme is based on a semi-implicit discretization which treats the acoustic part implicitly and the convective and diffusive parts explicitly. This discretization, which is the key to the Asymptotic-Preserving property, provides a consistent approximation of both the hyperbolic compressible regime and the elliptic incompressible regime. The divergence-free condition on the velocity in the incompressible regime is respected, and an the pressure is computed via an elliptic equation resulting from a suitable combination of the momentum and energy equations. The implicit treatment of the acoustic part allows the time-step to be independent of the Mach number. The scheme is conservative and applies to steady or unsteady flows and to general equations of state. One and two-dimensional numerical results provide a validation of the Asymptotic-Preserving 'all-speed' properties.