Solution of the time-dependent, three-dimensional incompressible Navier-Stokes equations via FEM

Conference · Thu Jan 01 04:00:00 EST 1981

OSTI ID:6506494

Gresho, P M; Chan, S T.K.; Lee, R L; Upson, C D

Simple techniques for solving the time-dependent, three-dimensional incompressible Navier-Stokes equations via the finite element method are described and involve (1) utilizing the trilinear 8-node isoparametric brick element for the velocity approximation (also for temperature and concentration where relevant) with piecewise-constant approximation of the pressure and (2) the time-integration technique which is basically the explicit forward Euler method, with the pressure obtained by solving the consistently derived Poisson equation. The advantages (speed and simplicity) and the disadvantages (stability limits on time-step size and the need to invoke mass lumping) of this technique are discussed and numerical examples presented.

• Research Organization: Lawrence Livermore National Lab., CA (USA)
• DOE Contract Number: W-7405-ENG-48
• OSTI ID: 6506494
• Report Number(s): UCRL-85337; CONF-810702-3
• Country of Publication: United States
• Language: English

Related Subjects

42 ENGINEERING
420400* -- Engineering-- Heat Transfer & Fluid Flow
DIFFERENTIAL EQUATIONS
ENERGY SOURCES
EQUATIONS
FINITE ELEMENT METHOD
FLOW RATE
FLUID FLOW
FLUIDS
FOSSIL FUELS
FUEL GAS
FUELS
GAS FUELS
GASES
INCOMPRESSIBLE FLOW
LIQUEFIED NATURAL GAS
MATHEMATICAL MODELS
NATURAL GAS
NAVIER-STOKES EQUATIONS
NUMERICAL SOLUTION
PARTIAL DIFFERENTIAL EQUATIONS