High-order lattice Boltzmann methods provide an elegant and systematic way to incorporate thermal compressible effects represent a promising approach for the study of beyond-hydrodynamics regimes characterized by finite Knudsen numbers. However, presence multiple layers makes definition boundary conditions non-trivial, since one needs define missing information particle distributions across sev...

Example 3.2 (Radar). A radar is constantly emitting a signal and monitoring to see if it bounces back (see Figure 3.1). The signal x that the radar receives can be modeled as N (0, σ) if there is nothing (hence the signal doesn’t bounce back) and N (μ, σ) for some μ > 0 if an object is present (hence signal bounces back). Thus it needs to decide between: H0 : x ∼ N (0, σ) ⇒ nothing there, H1 : ...

The observed temperature fluctuations in the cosmic microwave background can be traced back to primordial curvature modes that are sourced by adiabatic and/or entropic matter perturbations. In this paper, we explore mechanism context of non-singular bouncing cosmologies. We show naturally generated during `graceful exit,' i.e., when smoothing slow contraction phase ends and universe enters boun...

In this paper, implementation of an extended form of a no-slip wall boundary condition is presented for the three-dimensional (3-D) lattice Boltzmann method (LBM) for solving the incompressible fluid flows with complex geometries. The boundary condition is based on the off-lattice scheme with a polynomial interpolation which is used to reconstruct the curved or irregular wall boundary on the ne...

The lattice Boltzmann method has evolved over the past decade to a common technique in the field of computational fluid dynamics. The basic principle of cellular-automata allows an easy simulation of discrete surfaces and implementation of different boundary conditions. To meet the numerical requirements of continuous surfaces the enhanced Bouzidi bounce-back with interpolation was implemented....

A three-dimensional, Newtonian hydrodynamical technique is used to follow the post-bounce phase of a stellar core collapse event. For realistic initial data we have employed post core-bounce snapshots of the iron core of a 20 M⊙ star from the study of Ott et al. (2004). The models exhibit strong differential rotation, but have centrally condensed density stratifications. We demonstrate for the ...

introduction: the preparation of the root canal space includes debridement, shaping and apical preparation. these procedures are challenging and constitute. the recent introduction of automated techniques for canal preparation has created considerable interest. the aim of this study was to test shaping ability of one hand instrumentation (passive step-back technique) and new rotary niti system ...