We propose a framework for the spectral processing of tangential vector fields on surfaces. The basis is a Fourier-type representation of tangential vector fields that associates frequencies with tangential vector fields. To implement the representation for piecewise constant tangential vector fields on triangle meshes, we introduce a discrete Hodge–Laplace operator that fits conceptually to th...

We propose a new method of tangential redistribution of points by controlling the tangential motion in curvature driven flow of plane curves. The tangential velocity is designed by taking into account the shape of curves. It is based on combination of method of asymptotic uniform redistribution and the tangential velocity in crystalline curvature flow equations.

Through the Loewner equation, real-valued driving functions generate sets called hulls. We analyze that approach 0 at least as fast \(a (T-t)^r\) \(t \to T\), where \(r \in (0, 1/2)\), and show corresponding hulls have tangential behavior time \(T\). also prove a result about trace existence apply it to driven by \(a(T-t)^r\) for (0,1/2)\) curve.

An immersed interface-lattice Boltzmann method (II-LBM) is developed for modelling fluid-structure systems. The key element of this approach the determination jump conditions that are satisfied by distribution functions within framework lattice when forces imposed along a surface in an incompressible fluid. In initial II-LBM, discontinuity related to normal portion interfacial force sharply res...

Abstract This paper reports the first possible evidence for development of Kelvin–Helmholtz (KH) instability at border coronal holes separating associated fast wind from slower originating adjacent streamer regions. Based on a statistical data set spectroscopic measurements UV corona acquired with UltraViolet Coronagraph Spectrometer board SOlar and Heliospheric Observatory during minimum activ...

A rigorous semianalytical Floquet analysis is proposed for modeling space–time-modulated metasurface and determining the scattered fields in terms of their harmonic components. The method based on generalized sheet transition conditions (GSTCs) treating a as spatial discontinuity with zero thickness. described Lorentzian electric magnetic surface susceptibilities, both tangential normal to surf...