Riemann solvers for solving the incompressible Navier-Stokes equations using the artificial compressibility method

dc.contributor.authorElsworth, D. T.en_UK
dc.contributor.authorToro, E. F.en_UK
dc.date1992en_UK
dc.date.accessioned2005-11-23T12:19:48Z
dc.date.available2005-11-23T12:19:48Z
dc.date.issued1992en_UK
dc.description.abstractThe solution to the Incompressible Navier-Stokes equations still represents a significant numerical challenge. The reason for this is that there is a lack of coupling between velocity and pressure. This means that the equations themselves provide no way of explicitly updating the pressure field as the velocity field is advanced. The artificial compressibility approach, devised by A. J. Chorin (see Chorin 1967), represents one way of overcoming this difficulty. It is arrived at by altering the incompressible equations in such a way as to result in a system of equations in which the left hand side is hyperbolic. We wish to take advantage of the hyperbolic nature of these equations and use Riemann-problem- based-numerical-methods (or RP methods).en_UK
dc.description.sponsorshipCITen_UK
dc.format.extent1963 bytes
dc.format.extent765882 bytes
dc.format.mimetypetext/plain
dc.format.mimetypeapplication/pdf
dc.identifier.urihttp://hdl.handle.net/1826/240
dc.language.isoen_UKen_UK
dc.relation.ispartofseriesCollege of Aeronautics Report;9208en_UK
dc.relation.ispartofseriesCIT/CoA/R;9208en_UK
dc.titleRiemann solvers for solving the incompressible Navier-Stokes equations using the artificial compressibility methoden_UK
dc.typeTechnical Reporten_UK

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