Abstract
A new explicit, time splitting algorithm has been developed for finite difference modelling of the full two and three-dimensional time-dependent, compressible, viscous Navier-Stokes equations of fluid mechanics. The scheme is optimal in the sense that the split operators achieve their maximum allowable time step, i.e., the corresponding Courant number. The algorithm allows a conservation-form formulation. Stability is proven analytically and verified numerically. In proving stability it was shown that all nine matrix coefficients of the Navier-Stokes equations are simultaneously symmetrizable by a similarity transformation. Two such transformations and their resulting symmetric matrix coefficients are presented explicitly.
| Original language | English |
|---|---|
| Pages (from-to) | 1-33 |
| Number of pages | 33 |
| Journal | Journal of Computational Physics |
| Volume | 41 |
| Issue number | 1 |
| DOIs | |
| State | Published - May 1981 |
| Externally published | Yes |
Bibliographical note
Funding Information:*This work was supported in part by the Air Force Office of Scientific Research (NAM); the European Office of Aerospace Research, AFSC, United States Air Force, under Grant AFOSR 78.365 1, and in part by NASA Contracts NASl-14101 and NASl-15810 at ICASE, NASA Langley Research Center, Hampton, VA. 23665.
Funding
*This work was supported in part by the Air Force Office of Scientific Research (NAM); the European Office of Aerospace Research, AFSC, United States Air Force, under Grant AFOSR 78.365 1, and in part by NASA Contracts NASl-14101 and NASl-15810 at ICASE, NASA Langley Research Center, Hampton, VA. 23665.
| Funders | Funder number |
|---|---|
| European Office of Aerospace Research | |
| NASA Langley Research Center, Hampton | 23665 |
| National Aeronautics and Space Administration | NASl-14101, NASl-15810 |
| Air Force Office of Scientific Research | 78.365 1 |
| U.S. Air Force | |
| National Academy of Medicine | |
| Air Force Systems Command |