Application of a second-order projection method to the study of shear layers

Conference · Wed Jun 01 00:00:00 EDT 1988

OSTI ID:7159452

Bell, J B; Glaz, H M; Solomon, J M; Szymczak, W G

In this paper we apply a second-order projection method for the time-dependent, incompressible Navier-Stokes equations to the study of shear layers. The algorithm represents a higher-order extension of Chorin's projection algorithm. In Chorin's algorithm one first solves the Navier-Stokes equations ignoring the pressure term and then projects the resulting velocity field onto discretely divergence-free vector fields. Our method introduces more coupling between the diffusion-convection step and the projection to obtain second-order temporal accuracy. Furthermore, the algorithm incorporates a second-order Godunov method that provides a robust treatment of the nonlinear terms at high Reynolds number. These features combine to give a method that is second-order accurate for smooth flows and remains stable for singular initial data such as cortex sheets, even in the limit of vanishing viscosity. 9 refs., 2 figs.

• Research Organization: Lawrence Livermore National Lab., CA (USA)
• DOE Contract Number: W-7405-ENG-48
• OSTI ID: 7159452
• Report Number(s): UCRL-98977; CONF-8806125-2; ON: DE88013095
• 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
990230 -- Mathematics & Mathematical Models-- (1987-1989)
ALGORITHMS
DIFFERENTIAL EQUATIONS
EQUATIONS
FLUID FLOW
INCOMPRESSIBLE FLOW
MATHEMATICAL LOGIC
MECHANICAL PROPERTIES
NAVIER-STOKES EQUATIONS
NONLINEAR PROBLEMS
NUMERICAL SOLUTION
PARTIAL DIFFERENTIAL EQUATIONS
REYNOLDS NUMBER
SHEAR PROPERTIES
TURBULENT FLOW