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Capturing nonlinear dynamics of two-fluid Couette flows with asymptotic models (2016)
Journal Article
Kalogirou, A., Cîmpeanu, R., Keaveny, E., & Papageorgiou, D. (2016). Capturing nonlinear dynamics of two-fluid Couette flows with asymptotic models. Journal of Fluid Mechanics, 806, R1. https://doi.org/10.1017/jfm.2016.612

The nonlinear stability of two-fluid Couette flows is studied using a novel evolution equation whose dynamics is validated by direct numerical simulation (DNS). The evolution equation incorporates inertial effects at arbitrary Reynolds numbers throug... Read More about Capturing nonlinear dynamics of two-fluid Couette flows with asymptotic models.

Nonlinear dynamics of surfactant-laden two-fluid Couette flows in the presence of inertia (2016)
Journal Article
Kalogirou, A., & Papageorgiou, D. T. (2016). Nonlinear dynamics of surfactant-laden two-fluid Couette flows in the presence of inertia. Journal of Fluid Mechanics, 802, 5-36. https://doi.org/10.1017/jfm.2016.429

The nonlinear stability of immiscible two-fluid Couette flows in the presence of inertia is considered. The interface between the two viscous fluids can support insoluble surfactants and the interplay between the underlying hydrodynamic instabilities... Read More about Nonlinear dynamics of surfactant-laden two-fluid Couette flows in the presence of inertia.

Variational finite element methods for waves in a Hele-Shaw tank (2016)
Journal Article
Kalogirou, A., Moulopoulou, E. E., & Bokhove, O. (2016). Variational finite element methods for waves in a Hele-Shaw tank. Applied Mathematical Modelling, 40(17-18), 7493-7503. https://doi.org/10.1016/j.apm.2016.02.036

The damped motion of driven water waves in a Hele-Shaw tank is investigated variationally and numerically. The equations governing the hydrodynamics of the problem are derived from a variational principle for shallow water. The variational principle... Read More about Variational finite element methods for waves in a Hele-Shaw tank.