This paper extends current knowledge on electromagnetic wave scattering from bounded moving media in several regards. First, it complements the usual dispersion relation of media, ?(?k) (?k: phase velocity direction, associated with vector, k), equally important impedance relation, ?(?S) (?S: group Poynting S). Second, explains interluminal-regime phenomenon double-downstream transmission acros...

We present and analyze a penalization method which extends the the method of [2] to the case of a rigid body moving freely in an incompressible fluid. The fluid-solid system is viewed as a single variable density flow. The interface is captured by a color function satisfying a transport equation. The solid velocity is computed by averaging at every time the flow velocity in the solid phase. Thi...

We prove that uniform accuracy of almost second order can be achieved with a finite difference method applied to Navier-Stokes flow at low Reynolds number with a moving boundary, or interface, creating jumps in the velocity gradient and pressure. Difference operators are corrected to O(h) near the interface using the immersed interface method, adding terms related to the jumps, on a regular gri...

Abstract— The problem of vertical flow stability in an oil reservoir with a gas cap is considered, when the obeys Brinkman equation. Boundary conditions at moving boundary gas-oil interface are derived and basic solution obtained. normal mode method used to study gas–oil interface. obtained dispersion equation investigated. Conditions for found all values parameters, it shown that, linear appro...

A moving-grid, shock-fitting, finite element method has been implemented that can achieve high-order accuracy for flow simulations with shocks. In this approach, edges in the computational mesh are fitted to shock front and moved throughout simulation. The Euler or Navier-Stokes equations solved on moving an arbitrary Lagrangian-Eulerian framework. is two-dimensions context of a streamwise upwi...

We have developed a new technique (based on our Cartesian-representation method) to describe hydrodynamic interactions of a spherical particle with an undeformable planar fluid-fluid interface under creeping-flow conditions. The interface can be either surfactant-free or covered with an incompressible surfactant monolayer. We consider the effect of surface incompressibility and surface viscosit...

Abstract. Using method of matched asymptotic expansions, we derive the sharp interface limit for the diffusive interface model with the generalized Navier boundary condition recently proposed by Qian, Wang and Sheng in [9, 11] for the moving contact line problem. We show that the leading order problem satisfies a boundary value problem for a coupled Hale-Shaw and Navier-Stokes equations with th...