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- W65766910 abstract "This chapter presents a solution on a CYBER-205 of the discrete Poisson-type pressure equations that arise from mass conservation constraints on fluid velocities in the Navier–Stokes equations. Analysis and numerical studies for these equations reveals that the solution of what might appear at first glance to be a standard problem to be solved with packaged software has many interesting features. There are several efficient algorithms for solving Poisson's equation over a rectangle. Any of these procedures are used as a part of a compound iteration, such as preconditioned conjugate gradients. The chapter discusses column rebalancing of a basic Chebyshev iteration. It presents some of the considerations in designing an efficient solver for a particular vector computer. The pressure equations derived from the mass conservation constraint form an elliptic system with a symmetric positive semi-definite coefficient matrix. Matrix elements vary in an unpredictable manner governed by local fluid flow patterns. In the TEACH method, for numerical solution of the Navier–Stokes equations there is an iteration to consistency of velocities and pressures." @default.
- W65766910 created "2016-06-24" @default.
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- W65766910 date "1984-01-01" @default.
- W65766910 modified "2023-09-26" @default.
- W65766910 title "NAVIER-STOKES PRESSURE EQUATION ITERATION" @default.
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- W65766910 doi "https://doi.org/10.1016/b978-0-12-100560-3.50028-7" @default.
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