Abstract
A higher-order-accurate numerical procedure, developed for solving incompressible Navier-Stokes equations for 2-D or 3-D fluid flow problems and presented in Part I, is validated. The procedure, which is based on low-storage Runge-Kutta schemes for temporal discretization and fourth- and sixth-order compact finite-difference schemes for spatial discretization, is shown to eliminate the odd-even decoupling problem on regular grids, provided that compact schemes are used to approximate the Laplacian of the pressure equation. Spatial and temporal accuracy are confirmed formally through application to several pertinent benchmark problems. Stability in long-time integration is demonstrated by application to the Stuart's mixing-layer problem.
| Original language | English |
|---|---|
| Pages (from-to) | 231-255 |
| Number of pages | 25 |
| Journal | Numerical Heat Transfer, Part B: Fundamentals |
| Volume | 39 |
| Issue number | 3 |
| DOIs | |
| State | Published - Mar 2001 |
| Externally published | Yes |
Funding
Received 31 March 2000; accepted 11 October 2000. The authors were partially supported by the National Aeronautics and Space Administration under NASA Contract NAS1-14098wielthhe authors were in residence at the Institute for Computer Applications in Science and Engineering (ICASE), NASA Langley Research Center, Hampton, VA 2681300-10. Additional support was provided by the NASA Graduate Student Research Program. Address correspondence to Prof. Ayodeji O. Demuren, Department of Mechanical Enginering, Old Dominion University, Norfolk, VA 25293, USA. E-mail: [email protected]
| Funders | Funder number |
|---|---|
| Institute for Computer Applications in Science and Engineering | |
| NASA Langley Research Center, Hampton | VA 2681300-10 |
| National Aeronautics and Space Administration |