Post-Newtonian expansions of the Brill-Lindquist and Misner-Lindquist solutions of the timesymmetric two-black-hole initial value problem are derived. The static Hamiltonians related to the expanded solutions, after identifying the bare masses in both solutions, are found to differ from each other at the third post-Newtonian approximation. By shifting the position variables of the black holes t...

in this paper, changes of casson non-newtonian fluid velocity profile, for different distribution of porosity, have been investigated. for distribution of porosity, fixed, radial and exponential variations has been considered. for all three states, brinkman model has been used as momentum equation. since the casson fluid is a good model for blood, this analysis can be used in studying about cho...

This article presents the application of parallel computing techniques using Graphic Processing Unit (GPU) in order to improve the computational e ciency of numerical methods applied to uid dynamics problems. In the last ten years, GPUs have emerged as a major paradigm for solving complex problems using parallel computing techniques. Fluid dynamics problems usually requires large execution time...

Direct Numerical Simulations (DNS) of the distribution function of conformation of small axisymmetric particles is considered from a numerical point of view. The mathematical modelling of microstructured uid has to take into account (i) the e ect of the surrounding uid onto the microstructure and (ii) the e ect of the microstructures on the uid. We consider (i) the simulation of the conformatio...

Visualization of a \ eld", which is a physically invisible concept, is a main subject of scienti c visualization. In this paper described is a method for visualizing a great gravitational eld like a black hole. We assume a velocity vector eld of imaginary uid in the vicinity of the black hole for its e ective visualization. We describe the eld by using equations so called \Eulerian method". Thi...

Multiphase processes involve interactions between several different phases, such as fl uid to fl uid or fl uid to solid. Multiple phases constitute a very important area of research with many highly prioritised and important applications, such as droplet deposition, underwater explosions and micro-jetting devices. When studying such processes with the aim of ultimately utilising them in practic...

Our objective in this study is to examine the applicability of a numerical method [1, 2] to simulation of motions of microscopic two-phase uid on solid surfaces for evaluating uidic devices and for predicting underground uid ows. The method adopts a conservation-modi ed Allen-Cahn equation of phaseeld model (PFM) [3,4] for advection and formation of interfaces and lattice-Boltzmann method (LBM)...

In this article we rst provide a priori estimates of the solution for the nonsta tionary two dimensional viscoelastic uid motion equations with periodic bound ary condition We then present an modi ed nonlinear Galerkin method for solving such equations By comparing the convergence rates of the proposed method with the standard Galerkin method we conclude that the modi ed nonlinear Galerkin meth...

This paper introduces a nonlinear Schrr odinger model for superruid that captures the process of mutual friction between the superruid and normal uid components of helium II. Superruid vortices are identiied as topological defects in the solution of this equation. A matched asymptotic analysis of Neu 7] is adapted to derive an asymptotic dynamics for the vortices in the case they are widely sep...

Energy. The Los Alamos National Laboratory strongly supports academic freedom and a researcher's right to publish; as an institution, however, the Laboratory does not endorse this viewpoint of a publication or guarantee its technical correctness. Although particle hopping models have been introduced into traac science in the 1950s, their systematic use has only started recently. Two reasons for...