Physics – Mathematical Physics
Scientific paper
2011-08-14
Physics
Mathematical Physics
Scientific paper
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.
Cordier Floraine
Degond Pierre
Kumbaro Anela
No associations
LandOfFree
An Asymptotic-Preserving all-speed scheme for the Euler and Navier-Stokes equations does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with An Asymptotic-Preserving all-speed scheme for the Euler and Navier-Stokes equations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and An Asymptotic-Preserving all-speed scheme for the Euler and Navier-Stokes equations will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-712223