Semi-implicit conservative upwind scheme for transient compressible flows
This note presents a class of semi-implicit conservative numerical schemes applied to the compressible Euler gas dynamics equations in a subsonic regime. These equations, combined with a diffusion energy term, are a good model system of equations to study the behaviour of several numerical schemes that could be used to treat the compressible Navier-Stokes equations. The spatial discretisation is based on a finite volume method. The time discretisation allows for a selective implicit filtering of the sound waves, whereas the convective waves are treated explicitly. This scheme makes it possible to circumvent the severe time step limitations due to the fast sound waves in subsonic regime, but preserves the accuracy of the convectively transported signals respecting a less severe time step restriction associated to the fluid velocity rather than to the fluid sound speed. Second order solutions are selectively obtained for the convective part of the equations by means of a linear cell-wise representation of the solution, together with a predictor-corrector scheme in time. Several tests concerning monodimensional flows are included, showing the potential of the method.
Bibliographic Reference: EUR 14986 EN (1993) 47 pp., FS, free of charge
Availability: Available from Joint Research Centre, Publication Department, I-21020 Ispra (Va.) (IT)
Record Number: 199511382 / Last updated on: 1995-10-31
Original language: en
Available languages: en