Solving the incompressible Navier--Stokes equations using consistent mass and a pressure Poisson equation

Conference · Mon Aug 01 04:00:00 EDT 1988

OSTI ID:6859009

Gresho, P M; Chan, S T

We derive and demonstrate a new technique for solving the time- dependent incompressible Navier--Stokes equations using low-order (bilinear) finite elements. The scheme is based on using the consistent mass matrix for the physical processes of advection and diffusion, and the lumped mass approximation for the pressure gradient term. The implementation uses a simple semi-implicit projection method based on the original method of Chorin. It is shown that the new scheme is cost-effective, relative to those using either lumped or consistent mass everywhere, especially for simulations in which accuracy of the advective (convective) transport process is particularly important. Steady results obtained from the scheme, which are slightly less accurate, are also addressed. 18 refs., 11 figs., 3 tabs.

• Research Organization: Lawrence Livermore National Lab., CA (USA)
• DOE Contract Number: W-7405-ENG-48
• OSTI ID: 6859009
• Report Number(s): UCRL-99406; CONF-881192-1; ON: DE89001241
• Country of Publication: United States
• Language: English

Related Subjects

640410* -- Fluid Physics-- General Fluid Dynamics
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ALGORITHMS
DIFFERENTIAL EQUATIONS
EQUATIONS
FINITE ELEMENT METHOD
FLUID FLOW
INCOMPRESSIBLE FLOW
MATHEMATICAL LOGIC
NAVIER-STOKES EQUATIONS
NUMERICAL SOLUTION
PARTIAL DIFFERENTIAL EQUATIONS
POISSON EQUATION
PRESSURE GRADIENTS