Green functions scattering method is generalized to consider mixing of electromagnetic polarizations after reflection from the plane boundary between different media and applied derivation Casimir-Polder potential in systems with Chern-Simons layers. The first derive an anisotropic atom presence a layer on dielectric half-space. Then general result for two half-spaces parallel layers derived. v...

A strongly coupled algorithm is presented for the incompressible fluid–rigid body interaction using moving immersed boundary method. The pressure and force are treated as Lagrange multipliers to enforce incompressibility no-slip wall constraints. To compute two unknowns from velocity field, we adopt fractional step successively apply Poisson equation a derived force, respectively. As both coeff...

This paper is concerned with a boundary value problem (BVP) for discrete Sturm-Liouville equation point interaction and conditions depending on hyperbolic eigenvalue parameter. presents some spectral scattering properties of this BVP in terms Jost solution, solutions, function, continuous spectrum. In addition, the resolvent operator obtained to get eigenvalues. Furthermore, an example consider...

The main result of these notes is an analytical expression for the partition function of the circular brane model [1] for arbitrary values of the topological angle. The model has important applications in condensed matter physics. It is related to the dissipative rotator (Ambegaokar-Eckern-Schön) model [2] and describes a “weakly blocked” quantum dot with an infinite number of tunneling channel...

A novel numerical scheme has been developed to simulate high speed viscous flows in complex geometries using unstructured grids. A characteristic–filter based shock capturing scheme is applied as a corrector step to a non–dissipative predictor scheme. This algorithm is being used to study shock turbulent boundary layer interactions and this paper presents the results of a turbulent flow at Mach...

We present a computational algorithm for shape perception by studying the interaction between region and boundary cues. We formulate this problem in a graph partitioning framework, where region cues defined on a pixel graph and boundary cues defined on its dual edgel graph are coupled through edge-node incidence relationships. The consistency of simultaneous partitioning on such graphs can thus...