Methods of Solution of the Velocity-Vorticity Formulation of the Navier-Stokes Equations

Some methods are proposed for solving the Navier-Stokes equations for two-dimensional, incompressible, flow using the velocity-vorticity formulation. The main feature of the work is the solution of the equation of continuity using boundary-value techniques. This is possible because both of the veloc...

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Veröffentlicht in:	Journal of Computational Physics 1995-12, Vol.122 (2), p.300-306
Hauptverfasser:	Dennis, S.C.R., Hudson, J.D.
Format:	Artikel
Sprache:	eng
Schlagworte:	BOUNDARY-VALUE PROBLEMS CONTINUITY EQUATIONS ENGINEERING NOT INCLUDED IN OTHER CATEGORIES INCOMPRESSIBLE FLOW MATHEMATICS, COMPUTERS, INFORMATION SCIENCE, MANAGEMENT, LAW, MISCELLANEOUS NAVIER-STOKES EQUATIONS NUMERICAL SOLUTION TWO-DIMENSIONAL CALCULATIONS VELOCITY VORTEX FLOW
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container_title	Journal of Computational Physics
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creator	Dennis, S.C.R. Hudson, J.D.
description	Some methods are proposed for solving the Navier-Stokes equations for two-dimensional, incompressible, flow using the velocity-vorticity formulation. The main feature of the work is the solution of the equation of continuity using boundary-value techniques. This is possible because both of the velocity components are known at each boundary point. Some illustrative results are computed including some for heat convection inside a square cavity when one side is held at a constant temperature.
doi_str_mv	10.1006/jcph.1995.1215
format	Article
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subjects	BOUNDARY-VALUE PROBLEMS CONTINUITY EQUATIONS ENGINEERING NOT INCLUDED IN OTHER CATEGORIES INCOMPRESSIBLE FLOW MATHEMATICS, COMPUTERS, INFORMATION SCIENCE, MANAGEMENT, LAW, MISCELLANEOUS NAVIER-STOKES EQUATIONS NUMERICAL SOLUTION TWO-DIMENSIONAL CALCULATIONS VELOCITY VORTEX FLOW
title	Methods of Solution of the Velocity-Vorticity Formulation of the Navier-Stokes Equations
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