The adjoint weighted equation for steady advection in a compressible fluid

Assad A. Oberai; Paul E. Barbone; Isaac Harari

doi:10.1002/fld.1515

The adjoint weighted equation for steady advection in a compressible fluid

Assad A. Oberai, Paul E. Barbone, Isaac Harari^*

^*Corresponding author for this work

School of Mechanical Engineering

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	683-693
Number of pages	11
Journal	International Journal for Numerical Methods in Fluids
Volume	54
Issue number	6-8
DOIs	https://doi.org/10.1002/fld.1515
State	Published - 20 Jul 2007

Keywords

Advective transport
Finite elements
Petrov-Galerkin methods

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10.1002/fld.1515

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KW - Finite elements

KW - Petrov-Galerkin methods

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The adjoint weighted equation for steady advection in a compressible fluid

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Keywords

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