Adjoint sensitivity analysis for fluid flow with free surface

I.Y. Gejadze, G.J.M. Copeland

Research output: Contribution to journalArticle

11 Citations (Scopus)

Abstract

This paper develops the adjoint sensitivities to the free surface incompressible barotropic Euler equations in order to allow for the assimilation of measurements of currents and free surface elevations into an unsteady flow solution by boundary control. To calculate a variation in a surface variable, a mapping is used in the vertical to shift the problem into a fixed domain. Then a variation is evaluated from the Jacobian matrix of the mapping. After calculating a variation in the surface variable and applying the inverse transformation, the tangent linear model is considered in the original space where the adjoint equations are then derived. The method is demonstrated by application to an unsteady flow in an open channel (a 2D vertical section model). A wider application is to the construction of a fully three-dimensional coastal ocean model that allows assimilation of tidal elevation and current data.
Original languageEnglish
Pages (from-to)1027-1034
Number of pages7
JournalInternational Journal of Numerical Methods in Fluids
Volume47
Issue number8-9
DOIs
Publication statusPublished - 2005

Fingerprint

Free Surface
Sensitivity analysis
Fluid Flow
Sensitivity Analysis
Flow of fluids
Unsteady Flow
Unsteady flow
Vertical
Incompressible Euler Equations
Open Channel
Adjoint Equation
Boundary Control
Jacobian matrix
Ocean
Tangent line
Jacobian matrices
Linear Model
Euler equations
Calculate
Three-dimensional

Keywords

  • sensitivity analysis
  • Euler equations
  • free surface
  • adjoint problem
  • civil engineering

Cite this

Gejadze, I.Y. ; Copeland, G.J.M. / Adjoint sensitivity analysis for fluid flow with free surface. In: International Journal of Numerical Methods in Fluids. 2005 ; Vol. 47, No. 8-9. pp. 1027-1034.
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Adjoint sensitivity analysis for fluid flow with free surface. / Gejadze, I.Y.; Copeland, G.J.M.

In: International Journal of Numerical Methods in Fluids, Vol. 47, No. 8-9, 2005, p. 1027-1034.

Research output: Contribution to journalArticle

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AB - This paper develops the adjoint sensitivities to the free surface incompressible barotropic Euler equations in order to allow for the assimilation of measurements of currents and free surface elevations into an unsteady flow solution by boundary control. To calculate a variation in a surface variable, a mapping is used in the vertical to shift the problem into a fixed domain. Then a variation is evaluated from the Jacobian matrix of the mapping. After calculating a variation in the surface variable and applying the inverse transformation, the tangent linear model is considered in the original space where the adjoint equations are then derived. The method is demonstrated by application to an unsteady flow in an open channel (a 2D vertical section model). A wider application is to the construction of a fully three-dimensional coastal ocean model that allows assimilation of tidal elevation and current data.

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