Accuracy of Projection Methods for the Incompressible Navier-Stokes Equations

Conference · Tue Jun 12 00:00:00 EDT 2001

DOI:https://doi.org/10.1142/9789812796837_0006· OSTI ID:15006270

Brown, D L

Numerous papers have appeared in the literature over the past thirty years discussing projection-type methods for solving the incompressible Navier-Stokes equations. A recurring difficulty encountered is the choice of boundary conditions for the intermediate or predicted velocity in order to obtain at least second order convergence. A further issue is the formula for the pressure correction at each timestep. A simple overview is presented here based on recently published results by Brown, Cortez and Minion [2].

• Research Organization: Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
• Sponsoring Organization: US Department of Energy (US)
• DOE Contract Number: W-7405-ENG-48
• OSTI ID: 15006270
• Report Number(s): UCRL-JC-144037; TRN: US200407%%167
• Resource Relation: Conference: The Workshop on Numerical Simulations of Incompressible Flows, Half Moon Bay, CA (US), 06/19/2001--06/21/2001; Other Information: PBD: 12 Jun 2001
• Country of Publication: United States
• Language: English

Related Subjects

99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE
ACCURACY
BOUNDARY CONDITIONS
CONVERGENCE
INCOMPRESSIBLE FLOW
NAVIER-STOKES EQUATIONS
VELOCITY