The main topic of the presented paper concerns the method of determination and calculations of the general and particular numerical solutions of modified Reynolds equation in curvilinear orthogonal coordinates for curvilinear boundary conditions for hydrodynamic pressure distributions in bearing gap. A general solution matrix was derived and determined for various orthogonal coordinates of two ...

We show how Ramond free neutral Fermi fields lead to a τ -function theory of BKP type which describes iso-orthogonal deformations of systems of ortogonal curvilinear coordinates. We also provide a vertex operator representation for the classical Ribaucour transformation.

Maxwell’s curl equations are formulated in curvilinear non-orthogonal coordinates in three dimensions in a manner that enables to preserve conventional Cartesian mesh for the finite-difference schemes by means of mere redefinition of the permittivity and permeability coefficients. It is highlighted that in the previous works on this subject (Ward and Pendry 1996 J. Modern Opt. 43 773; 1998 Phys...

The non-orthogonal boundary-fitted coordinate transformation method is applied to the solution of steady three-dimensional conservation equations of mass, momentum, energy and speciescontinuity to obtain the laminar velocity, temperature and concentration fields for simulation of polymerization of styrene in arbitrary cross-sectional duct reactors. Variable physical properties (except for speci...

We present an efficient modal method to calculate the two-dimensional Green’s function for electromagnetics in curvilinear coordinates. For this purpose the coordinate transformation based differential method, introduced for the numerical analysis of surface-relief gratings, is directly used with perfectly matched layers (PMLs). The covariant formalism Maxwell’s equations, very convenient for t...

Для модели неидеальной магнитной гидродинамики в рамках метода контрольного объема рассматривается вариант схемы дискретизации уравнения индукции магнитного поля. используется алгоритм ограниченного переноса, обеспечивающий соленоидальность численного решения. Приводится подробный вывод дискретного аналога произвольных ортогональных криволинейных координатах для смещённых структурированных расч...