The FON method for the steady two-dimensional Navier-Stokes equations

Kim T. Walter*, Poul S. Larsen

*Corresponding author for this work

Research output: Contribution to journalJournal articleResearchpeer-review


The Fourth-Order Newton (FON) method, employing a direct linear biharmonic solver, is used to solve the finite-difference formulation of the steady, incompressible Navier-Stokes equations in an iterative Newton scheme. Accurate solutions to a number of problems for small and large Reynols numbers are obtained in a few iterations, employing strained grids. Special attention is paid to the problem of separation caused by non-parallel entrance flow.

Original languageEnglish
JournalComputers & Fluids
Issue number3
Pages (from-to)365-376
Publication statusPublished - 1981


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