A second-order projection method for the incompressible Navier Stokes equations on quadrilateral grids

Conference · Fri Mar 31 23:00:00 EST 1989

DOI:https://doi.org/10.2514/6.1989-1967· OSTI ID:6198366

Bell, J. B.; Solomon, J. M.; Szymczak, W. G.

This paper describes a second-order projection method for the incompressible Navier-Stokes equations on a logically-rectangular quadrilateral grid. The method uses a second-order fractional step scheme in which one first solves diffusion-convection equations to predict intermediate velocities which are then projected onto the space of divergence-free vector fields. The spatial discretization of the diffusion-convection equations is accomplished by formally transforming the equations to a uniform computational space. The diffusion terms are then discretized using standard finite-difference approximations. The convection terms are discretized using a second-order Godunov method that provides a robust discretization of these terms at high Reynolds number. The projection is approximated using a Galerkin procedure that uses a local basis for discretely divergence-free vector fields. Numerical results are presented illustrating the performance of the method. 13 refs., 5 figs.

• Research Organization: Lawrence Livermore National Lab., CA (USA)
• DOE Contract Number: W-7405-ENG-48
• OSTI ID: 6198366
• Report Number(s): UCRL-100879; CONF-8906111-1; ON: DE89010242
• Country of Publication: United States
• Language: English

Related Subjects

640410* -- Fluid Physics-- General Fluid Dynamics
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
99 GENERAL AND MISCELLANEOUS
990210 -- Supercomputers-- (1987-1989)
ALGORITHMS
COMPUTERIZED SIMULATION
CONVECTION
DIFFERENTIAL EQUATIONS
DIFFUSION
ENERGY TRANSFER
EQUATIONS
FINITE DIFFERENCE METHOD
FLUID FLOW
HEAT TRANSFER
INCOMPRESSIBLE FLOW
ITERATIVE METHODS
MASS TRANSFER
MATHEMATICAL LOGIC
NAVIER-STOKES EQUATIONS
NUMERICAL SOLUTION
PARTIAL DIFFERENTIAL EQUATIONS
REYNOLDS NUMBER
SIMULATION