Abstract
We construct a conservative scheme which approximates gas flow through a duct by discontinuity waves, rarefaction waves and steady waves. Analytical studies on the interaction and stability of these nonlinear elementary waves are used to determine the evolution of the state variables. The scheme is consistent, admissible, and reduces to the Godunov scheme when the duct is uniform. Numerical results show that the scheme is stable and tends to a stable steady flow; it also compares favorably with a fractional Godunov scheme.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
