A study of the vortex sheet method for solving the Prandtl boundary layer equations

Conference · Tue Sep 01 04:00:00 EDT 1987

OSTI ID:7250882

Puckett, E G

The vortex sheet method for solving the Prandtl boundary layer equations is the most widely used means of satisfying the no-slip boundary condition in a random vortex method solution of the Navier-Stokes equations. It is a fractional step method in which random walks are used to solve the diffusion equation and particles, called 'sheets', are created at the boundary in order to satisfy the no-slip boundary condition. A review of those theoretical results currently known is presented including the consistency of the random walk/sheet creation process. The convergence of the method to Blasius flow is then demonstrated numerically and from the data presented rates of convergence in terms of the computational parameters are conjectured. 26 refs., 1 fig., 4 tabs.

• Research Organization: Lawrence Livermore National Lab., CA (USA)
• DOE Contract Number: W-7405-ENG-48; AC03-76SF00098
• OSTI ID: 7250882
• Report Number(s): UCRL-98678; CONF-8709292-1; ON: DE88011346
• Country of Publication: United States
• Language: English

Related Subjects

640410* -- Fluid Physics-- General Fluid Dynamics
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
BOUNDARY CONDITIONS
DIFFERENTIAL EQUATIONS
EQUATIONS
FLUID FLOW
FLUID MECHANICS
MATHEMATICS
MECHANICS
NAVIER-STOKES EQUATIONS
NUMERICAL ANALYSIS
PARTIAL DIFFERENTIAL EQUATIONS
REYNOLDS NUMBER
VORTEX FLOW