Petrov - galerkin finite element formulations for incompressible viscous flows

• Main Authors: Sampaio, Paulo Augusto Berquó de, Instituto de Engenharia Nuclear
• Other Authors: Weatherill, Nigel
• Language: English
• Published: Instituto de Engenharia Nuclear 2017
• Subjects: Petrov-Galerkin Formulations; Computational Fluid Dynamics; Incompressible Flow
• Online Access: http://carpedien.ien.gov.br:8080/handle/ien/1954

Submitted by Marcele Costal de Castro ([e-mail]) on 2017-10-04T17:13:38Z No. of bitstreams: 1 PAULO AUGUSTO BERQUÓ DE SAMPAIO D.pdf: 6576641 bytes, checksum: 71355f6eedcf668b2236d4c10f1a2551 (MD5) === Made available in DSpace on 2017-10-04T17:13:38Z (GMT). No. of bitstreams: 1 PAULO AUGUSTO BERQUÓ DE SAMPAIO D.pdf: 6576641 bytes, checksum: 71355f6eedcf668b2236d4c10f1a2551 (MD5) Previous issue date: 1991-09 === The basic difficulties associated with the numerical solution of the incompressible Navier-Stokes equations in primitive variables are identified and analysed. These difficulties, namely the lack of self-adjointness of the flow equations and the requirement of choosing compatible interpolations for velocity and pressure, are addressed with the development of consistent Petrov-Galerkin formulations. In particular, the solution of incompressible viscous flow problems using simple equal order interpolation for all variables becomes possible .