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The adjoint weighted equation for steady advection in a compressible fluid
Author(s) -
Oberai Assad A.,
Barbone Paul E.,
Harari Isaac
Publication year - 2007
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.1515
Subject(s) - advection , solenoidal vector field , mathematics , weighting , galerkin method , operator (biology) , compressibility , divergence (linguistics) , computational fluid dynamics , mathematical analysis , adjoint equation , convection–diffusion equation , finite element method , physics , mechanics , partial differential equation , geometry , vector field , biochemistry , chemistry , linguistics , philosophy , repressor , gene , acoustics , transcription factor , thermodynamics
An alternative variational framework suitable for pure advection is obtained by discarding the Galerkin part of stabilized methods. The resulting scheme is similar to the least‐squares approach, but with the adjoint operator in the weighting slot. This formulation is not restricted to solenoidal (i.e. divergence free) velocities. Initial numerical results for such problems show that the method is promising. Copyright © 2007 John Wiley & Sons, Ltd.