Vorticity-preserving schemes for the compressible Euler equations

The concept of vorticity-preserving scheme introduced by Morton and Roe is considered for the system wave equation and extended to the linearised and full compressible Euler equations. Useful criteria are found for a general dissipative conservative scheme to be vorticity preserving. Using them, a residual-based scheme is shown to be vorticity preserving for the Euler equations, which is confirmed by vortex flow calculations.