Existing implicit numerical methods to solve turbulent flows using k - ε models have poor convergence properties. This paper presents modifications to these methods which improve their convergence rates and reduce the computational time by about a factor of 10. We start with an implicit finite-volume method in which the mean flow and turbulence model equations are fully coupled and the turbulent source terms are linearized accurately. The convergence properties of this formulation is similar to other widely-used methods. However, all these conventional methods have numerical instabilities that result in poor convergence. These instabilities are eliminated by two modifications, which greatly improve their convergence rates.
|Number of pages
|Published - 1998
|29th AIAA Fluid Dynamics Conference - Albuquerque, United States
Duration: Jun 15 1998 → Jun 18 1998
|29th AIAA Fluid Dynamics Conference
|6/15/98 → 6/18/98
Bibliographical noteFunding Information:
fice Grant DA/DAAH04-95-1-0540. This work was also sponsored in part by the Army High Performance Computing Research Center under the auspices of the Department of the Army, Army Research Laboratory cooperative agreement number DAAH04-95-2-0003 / contract number DAAH04-95-C-0008, the content of which does not necessarily reflect the position or the policy of the government, and no official endorsement should be inferred. Computer time was provided by the Minnesota Supercomputer Institute.
The work was supported by the Army Research Of-
© 1998 by Krishnendu Sinha. Published by the American Institute of Aeronautics and Astronautics, Inc.