3 papers
math.NA2020
Second order adjoint sensitivity analysis in variational data assimilation for tsunami models
N. K. -R. Kevlahan, R. A. Khan
We mathematically derive the sensitivity of data assimilation results for tsunami modelling, to perturbations in the observation operator. We consider results of variational data a…
physics.flu-dyn2020
Convergence analysis of a variational data assimilation scheme for bathymetry detection from surface wave observations
N. K. -R. Kevlahan, R. A. Khan
Accurate mapping of ocean bathymetry is a multi-faceted process, needed for safe and efficient navigation on shipping routes and for predicting tsunami waves. Currently available b…
physics.flu-dyn2018
On the convergence of data assimilation for the one-dimensional shallow water equations with sparse observations
N. K. -R. Kevlahan, R. Khan, B. Protas
The shallow water equations (SWE) are a widely used model for the propagation of surface waves on the oceans. We consider the problem of optimally determining the initial condition…