Numerical smoothing techniques applied to some finite element solutions of the Navier--Stokes equations

Conference · Wed Feb 01 00:00:00 EST 1978

OSTI ID:6716846

Lee, R L; Gresho, P M; Sani, R L

Two categories of smoothing techniques which generate continuous approximations (i.e., nodal values) of vorticity and pressure from finite-element solutions of the Navier--Stokes equation are considered. The simplest schemes, developed for quadrilateral elements, are those based on combinations of linear extrapolation and/or averaging algorithms which bring element-wise Gauss point evaluations out to node points. More complicated schemes based on a global smoothing technique which employ the mass matrix (consistent or lumped) are also presented. An initial assessment of the accuracy of several schemes is obtained by comparing with an analytical function. Next, qualitative comparisons are made from numerical solutions of the steady-state driven cavity problems. Finally, applications of smoothing techniques to discontinuous pressure fields are demonstrated.

• Research Organization: California Univ., Livermore (USA). Lawrence Livermore Lab.
• DOE Contract Number: W-7405-ENG-48
• OSTI ID: 6716846
• Report Number(s): UCRL-80127; CONF-780717-2
• Resource Relation: Conference: 2. conference on finite elements in water resources, London, UK, 10 Jul 1978
• Country of Publication: United States
• Language: English

Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
HYDRODYNAMICS
VORTEX FLOW
NAVIER-STOKES EQUATION
NUMERICAL SOLUTION
ACCURACY
DATA PROCESSING
FINITE ELEMENT METHOD
TWO-DIMENSIONAL CALCULATIONS
DIFFERENTIAL EQUATIONS
EQUATIONS
FLUID FLOW
FLUID MECHANICS
MECHANICS
PROCESSING
640410* - Fluid Physics- General Fluid Dynamics