A numerical algorithm for solving advection-diffusion equation on a sphere is suggested.The discretization of problem in space is carried out with the finit
We study traveling wave solutions for Euler systems with relaxation linked to many objectives in mind ranging from mathematical theory to numerics with appl
Flows in helical channels have applications ranging from spiral separators used in the mineral processing industry,to spiral microchannels used in lab-on-a-
If an annular baffle is attached to the outer cylinder wall in the annular region of a circular cylinder,filled with an ideal liquid,at some depth,the natur
Three travelling wave exact coherent states in plane Poiseuille flow are obtained by homotopy from solutions to plane Poiseuille flow subject to a spanwise
Two conservation laws for the nonlinear diffusion equation describing a two-dimensional PKN hydraulic fracture are derived.The first is the elementary conse
In this article,trapped mode frequencies,which are embedded in a continuous spectrum,are computed for a pair of horizontal circular cylinders,each of infini
Investigations of mixed convection of a fluid confined in a cavity with moving wall have applications in problems such as manufacturing solar collectors,opt
In this work,an entropy-stable scheme is presented for hyperbolic conservation laws.An exact discontinuity capturing central solver developed recently,named
We present a novel integrative software platform –the Distributive Interoperable Executive Library(DIEL)-to facilitate the collaboration,exploration,and ex