NASA NTRS · 19760014066
Conservative versus nonconservative differencing: Transonic streamline shape effects
Abstract
Streamline patterns calculated from transonic flow solutions which were generated using a nonconservative finite difference scheme showed a net streamtube area increase far downstream of the disturbance indicating that the global mass balance was destroyed. Similar calculations using a conservative finite difference scheme did not show this defect. Comparative calculations were made at several free-stream Mach numbers for nonlifting flow over a 10% parabolic arc airfoil. In a transonic internal flow, this nonconservation of mass may be of greater concern than in an unconfined external flow.
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Newman, P. A., South, J. C., Jr.. 1976-02-01. Conservative versus nonconservative differencing: Transonic streamline shape effects. https://ntrs.nasa.gov/citations/19760014066
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