Stabilizing local boundary conditions for two-dimensional shallow water equations

Ben Mansour Dia, Jesper Oppelstrup

Research output: Contribution to journalArticlepeer-review

Abstract

In this article, we present a sub-critical two-dimensional shallow water flow regulation. From the energy estimate of a set of one-dimensional boundary stabilization problems, we obtain a set of polynomial equations with respect to the boundary values as a requirement for the energy decrease. Using the Riemann invariant analysis, we build stabilizing local boundary conditions that guarantee the stability of the hydrodynamical state around a given steady state. Numerical results for the controller applied to the nonlinear problem demonstrate the performance of the method.
Original languageEnglish (US)
Pages (from-to)168781401772695
JournalAdvances in Mechanical Engineering
Volume10
Issue number3
DOIs
StatePublished - Mar 27 2018

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