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

Kim T. Walter; Poul S. Larsen

doi:10.1016/0045-7930(81)90007-4

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

Kim T. Walter^*
, Poul S. Larsen

^*Corresponding author for this work

Technical University of Denmark

Research output: Contribution to journal › Journal article › Research › peer-review

Abstract

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 language	English
Journal	Computers & Fluids
Volume	9
Issue number	3
Pages (from-to)	365-376
ISSN	0045-7930
DOIs	https://doi.org/10.1016/0045-7930(81)90007-4
Publication status	Published - 1981

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title = "The FON method for the steady two-dimensional Navier-Stokes equations",

abstract = "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.",

author = "Walter, \{Kim T.\} and Larsen, \{Poul S.\}",

year = "1981",

doi = "10.1016/0045-7930(81)90007-4",

language = "English",

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pages = "365--376",

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number = "3",

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T1 - The FON method for the steady two-dimensional Navier-Stokes equations

AU - Walter, Kim T.

AU - Larsen, Poul S.

PY - 1981

Y1 - 1981

N2 - 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.

AB - 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.

U2 - 10.1016/0045-7930(81)90007-4

DO - 10.1016/0045-7930(81)90007-4

M3 - Journal article

AN - SCOPUS:17644443701

SN - 0045-7930

VL - 9

SP - 365

EP - 376

JO - Computers & Fluids

JF - Computers & Fluids

IS - 3

ER -

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

Abstract

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