On Physics-Based Preconditioning of the Navier-Stokes Equations
An new and more ecient all-speed flow algorithm is developed. The governing hy- drodynamic equations, in conservative form, are solved implicitly using Jacobian- free Newton-Krylov methods. To overcome numerical stiffness caused by the dis- parity between acoustic and advective modes, the governing hydrodynamic equa- tions are transformed to the primitive variable form in a preconditioning step. This transformation enables implicit treatment of distinct physics using traditional semi- implicit and physics-based splitting approaches without a loss of consistency be- tween the original and preconditioned systems. The resulting algorithm is capable of solving slow natural circulations (M ~ 10^-4) with signicant heat flux as well as the high-speed (M ~ 1) flows effciently by following dynamical time scales.
- Research Organization:
- Idaho National Lab. (INL), Idaho Falls, ID (United States)
- Sponsoring Organization:
- USDOE
- DOE Contract Number:
- DE-AC07-05ID14517
- OSTI ID:
- 970636
- Report Number(s):
- INL/JOU-08-15190; JCTPAH; TRN: US1000831
- Journal Information:
- Journal of Computational Physics, Vol. 228, Issue 24; ISSN 0021-9991
- Country of Publication:
- United States
- Language:
- English
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