All Outputs (23)

Linearly implicit schemes for multi-dimensional Kuramoto–Sivashinsky type equations arising in falling film flows (2015)
Journal Article
Akrivis, G., Kalogirou, A., Papageorgiou, D. T., & Smyrlis, Y. (2016). Linearly implicit schemes for multi-dimensional Kuramoto–Sivashinsky type equations arising in falling film flows. IMA Journal of Numerical Analysis, 36(1), 317–336. https://doi.org/10.1093/imanum/drv011

This study introduces, analyses and implements space-time discretizations of two-dimensional active dissipative partial differential equations such as the Topper–Kawahara equation; this is the two-dimensional extension of the dispersively modified Ku... Read More about Linearly implicit schemes for multi-dimensional Kuramoto–Sivashinsky type equations arising in falling film flows.

Surfactant destabilization and non-linear phenomena in two-fluid shear flows at small Reynolds numbers (2012)
Journal Article
Kalogirou, A., Papageorgiou, D. T., & Smyrlis, Y. S. (2012). Surfactant destabilization and non-linear phenomena in two-fluid shear flows at small Reynolds numbers. IMA Journal of Applied Mathematics, 77(3), 351-360. https://doi.org/10.1093/imamat/hxs035

The flow of two superposed fluids in a channel in the presence of an insoluble surfactant is studied. Asymptotic analysis when one of the layers is thin yields a system of coupled weakly non-linear evolution equations for the film thickness and the l... Read More about Surfactant destabilization and non-linear phenomena in two-fluid shear flows at small Reynolds numbers.

Incompressible Poiseuille flows of Newtonian liquids with a pressure-dependent viscosity (2011)
Journal Article
Kalogirou, A., Poyiadji, S., & Georgiou, G. C. (2011). Incompressible Poiseuille flows of Newtonian liquids with a pressure-dependent viscosity. Journal of Non-Newtonian Fluid Mechanics, 166(7-8), 413-419. https://doi.org/10.1016/j.jnnfm.2011.01.006

The pressure-dependence of the viscosity becomes important in flows where high pressures are encountered. Applications include many polymer processing applications, microfluidics, fluid film lubrication, as well as simulations of geophysical flows. U... Read More about Incompressible Poiseuille flows of Newtonian liquids with a pressure-dependent viscosity.