Surface fluctuating hydrodynamics methods for the drift-diffusion dynamics of particles and microstructures within curved fluid interfaces

Numerical Exterior Calculus Methods for Fluctuating Hydrodynamics Within Curved Fluid Interfaces

We use exterior calculus of differential geometry to formulate fluctuating hydrodynamic equations to account phenomena within curved fluid interfaces. For manifolds of spherical topology, we present spectral methods that provide a discrete approximation of exterior calculus operators such as the exterior derivative, Hodge star, co-differential, or Hodge Laplacian. Our numerical approximation of...

the study of bright and surface discrete cavity solitons dynamics in saturable nonlinear media

امروزه سالیتون ها بعنوان امواج جایگزیده ای که تحت شرایط خاص بدون تغییر شکل در محیط منتشر می-شوند، زمینه مطالعات گسترده ای در حوزه اپتیک غیرخطی هستند. در این راستا توجه به پدیده پراش گسسته، که بعنوان عامل پهن شدگی باریکه نوری در آرایه ای از موجبرهای جفت شده، ظاهر می گردد، ضروری است، زیرا سالیتون های گسسته از خنثی شدن پراش گسسته در این سیستم ها بوسیله عوامل غیرخطی بوجود می آیند. گسستگی سیستم عامل...

Investigation of stepped planning hull hydrodynamics using computational fluid dynamics and response surface method

The use of step at the bottom of the hull is one of the effective factors in reducing the resistance and increasing the stability of the Planning hull. The presence of step at the bottom of this type of hulls creates a separation in the flow, which reduces the wet surface on the hull, thus reducing the drag on the body, as well as reducing the dynamic trim. In this study, a design space was cre...

Capillary interactions between colloidal particles at curved fluid interfaces

Statistics of fluctuating colloidal fluid-fluid interfaces.

Fluctuations of the interface between coexisting colloidal fluid phases have been measured with confocal microscopy. Due to a very low surface tension, the thermal motions of the interface are so slow that a record can be made of the positions of the interface. The theory of the interfacial height fluctuations is developed. For a host of correlation functions, the experimental data are compared...