Solution of the time-dependent incompressible Navier-Stokes equations via a penalty Galerkin finite element method

Conference · Thu Jan 01 00:00:00 EST 1981

OSTI ID:6506636

Sani, R L; Eaton, B E; Gresho, P M; Lee, R L; Chan, S T

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
• Resource Relation: Conference: International conference on numerical methods for laminar and turbulent flow, Venice, Italy, 13 Jul 1981
• Country of Publication: United States
• Language: English

Related Subjects

42 ENGINEERING
INCOMPRESSIBLE FLOW
NUMERICAL SOLUTION
NAVIER-STOKES EQUATIONS
FINITE ELEMENT METHOD
MATHEMATICAL MODELS
TIME DEPENDENCE
DIFFERENTIAL EQUATIONS
EQUATIONS
FLUID FLOW
PARTIAL DIFFERENTIAL EQUATIONS
420400* - Engineering- Heat Transfer & Fluid Flow