In this paper we extend the familiar continuum electrostatic model with a perturbation to the usual macroscopic boundary condition. The perturbation is based on the mean spherical approximation (MSA), to derive a multiscale hydration-shell boundary condition (HSBC). We show that the HSBC/MSA model reproduces MSA predictions for Born ions in a variety of polar solvents, including both protic and...

the bem is applied to the solution of the torsion problem of non-homogeneous anisotropic non-circular prismatic bars. the problem is formulated in terms of the warping function. this formulation leads to a second order partial differential equation with variable coefficients, subjected to a generalized neumann type boundary condition. the problem is solved using the analog equation method (aem)...

Various numerical boundary condition methods have been proposed to simulate various aspects of the no-slip wall condition using the Lattice Boltzmann Method. In this paper, a new boundary condition scheme is developed to model the no-slip wall condition in the presence of the body force term near the wall which is based on the Bennett extension. The error related to the new model is smaller tha...

Abstract We study the $$L^{\infty }$$ L ∞ stability of Navier-Stokes equations in half-plane with a viscosity-dependent Navier friction boundary condition around shear profiles which are linearly unstable for Euler equation. The dependence from viscosity is given as $$\...

Homotopy perturbation method HPM and boundary element method BEM for calculating the exact and numerical solutions of Poisson equation with appropriate boundary and initial conditions are presented. Exact solutions of electrostatic potential problems defined by Poisson equation are found using HPM given boundary and initial conditions. The same problems are also solved using the BEM. The cell i...

The anisotropic blowup along the zero section and the fiberwise compactification of a real vector bundle F → X are manifolds with boundary for which the natural structure bundle is the b-tangent bundle. We give a necessary and sufficient condition for these procedures to give a b-complex structure when applied to a holomorphic vector bundle over a complex manifold, and analyze some aspects of t...

The assessment of groundwater conditions within an unconfined aquifer with a periodic boundary condition is of interest in many hydrological and environmental problems. A two-dimensional numerical model for density dependent variably saturated groundwater flow, SUTRA (Voss, C.I., 1984. SUTRA: a finite element simulation model for saturated–unsaturated, fluiddensity dependent ground-water flow w...

We assume that the manifold with boundary, X, has a SpinCstructure with spinor bundle S/. Along the boundary, this structure agrees with the structure defined by an infinite order integrable almost complex structure and the metric is Kähler. In this case the SpinCDirac operator ð agrees with ∂̄ + ∂̄∗ along the boundary. The induced CR-structure on bX is integrable and either strictly pseudoconvex...