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Open Access research with a European policy impact...

The Strathprints institutional repository is a digital archive of University of Strathclyde's Open Access research outputs. Strathprints provides access to thousands of Open Access research papers by Strathclyde researchers, including by researchers from the European Policies Research Centre (EPRC).

EPRC is a leading institute in Europe for comparative research on public policy, with a particular focus on regional development policies. Spanning 30 European countries, EPRC research programmes have a strong emphasis on applied research and knowledge exchange, including the provision of policy advice to EU institutions and national and sub-national government authorities throughout Europe.

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Adjoint sensitivity analysis for fluid flow with free surface

Gejadze, I.Y. and Copeland, G.J.M. (2005) Adjoint sensitivity analysis for fluid flow with free surface. International Journal of Numerical Methods in Fluids, 47 (8-9). pp. 1027-1034. ISSN 0271-2091

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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.