Abstract
An investigation of characteristics-based (CB) schemes for solving the incompressible Navier-Stokes quations in conjunction with the artificial-compressibility approach, is presented. Both non-conservative and conservative CB numerical reconstructions are derived and their accuracy and convergence properties are assessed analytically and numerically. We demonstrate by means of eigenvalue analysis that there are differences in the spectral characteristics of these formulations that result in different convergence properties. Numerical tests for two- and three-dimensional flows reveal that the two formulations provide similar accuracy but the non-conservative formulation converges faster.
Original language | English |
---|---|
Pages (from-to) | 1466-1482 |
Number of pages | 17 |
Journal | International Journal for Numerical Methods in Engineering |
Volume | 66 |
Issue number | 9 |
DOIs | |
Publication status | Published - 28 May 2006 |
Externally published | Yes |
Keywords
- Characteristics-based scheme
- Eigenvalue analysis
- High-resolution methods
- Incompressible flows
- Riemann solvers