An efficient second-order projection method for viscous incompressible flow [Book Chapter]

Conference · Tue Apr 02 04:00:00 EST 1991 · 10th Computational Fluid Dynamics Conference

DOI:https://doi.org/10.2514/6.1991-1560· OSTI ID:5835592

Bell, John B. ^[1]; Howell, Louis ^[1]; Colella, Phillip ^[2]

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1. Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)
2. University of California, Berkeley, CA (United States)

In this paper we describe a second-order projection method for the time-dependent, incompressible Navier-Stokes equations. The method is a second-order fractional step scheme in which one first solves diffusion-convection equations to determine intermediate velocities which are then projected onto the space of divergence-free vector fields. The diffusion-convection step uses a specialized second-order Godunov method for differencing the nonlinear convective terms that is conservative and free-stream preserving and provides a robust treatment of the nonlinearities at high Reynolds number. The projection is based on cell-centered centered difference approximations to divergence and gradient operators with the resulting linear system solved using a multigrid relaxation scheme. We apply the method to vortex spindown in a box to validate the numerical convergence of the method and to measure its overall performance.

• Research Organization: Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)
• Sponsoring Organization: USDOE Office of Science (SC); Defense Advanced Research Projects Agency (DARPA); National Science Foundation (NSF)
• DOE Contract Number: W-7405-ENG-48
• OSTI ID: 5835592
• Report Number(s): UCRL-JC--105252; CONF-910651--4; ON: DE91011533; CNN: DAALO3-88-K-0197; DMS-8919074; ACS-8958522
• Conference Information: Journal Name: 10th Computational Fluid Dynamics Conference
• Country of Publication: United States
• Language: English

Related Subjects

640410* -- Fluid Physics-- General Fluid Dynamics
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
97 MATHEMATICS AND COMPUTING
99 GENERAL AND MISCELLANEOUS
990200 -- Mathematics & Computers
CONVECTION
DIFFERENTIAL EQUATIONS
DIFFUSION
ENERGY TRANSFER
EQUATIONS
FLUID FLOW
HEAT TRANSFER
INCOMPRESSIBLE FLOW
ITERATIVE METHODS
MASS TRANSFER
NAVIER-STOKES EQUATIONS
NUMERICAL SOLUTION
PARTIAL DIFFERENTIAL EQUATIONS
VISCOUS FLOW