Solution of the time-dependent incompressible Navier-Stokes equations via a penalty Galerkin finite element method
Conference
·
OSTI ID:6506636
The existence of an initial non-physical transient when using the penalty method in modeling the time-dependence incompressible Navier-Stokes equations is investigated theoretically and demonstrated numerically using the Galerkin finite element technique. A stable, variable step time integration scheme which can overlook the initial non-physical transient while using reasonable-sized time steps is described. Numerical examples illustrating the time integration scheme and concomitantly the difference in transient response of an incompressible fluid and its slightly compressible (penalty) analog are presented.
- Research Organization:
- Colorado Univ., Boulder (USA). Dept. of Chemical Engineering; Lawrence Livermore National Lab., CA (USA)
- DOE Contract Number:
- W-7405-ENG-48
- OSTI ID:
- 6506636
- Report Number(s):
- UCRL-85354; CONF-810702-1
- Country of Publication:
- United States
- Language:
- English
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