background: relaxation-training, as an anxiety-reducer intervention, plays an important role in fetal health. the present study aimed to analyze the effect of maternal relaxation on stress test (nst), basal fetal heart rate, and number of fetal heart accelerations. methods: in this randomized controlled trial, 84 pregnant women were randomly divided into two groups of teaching relaxation and co...

Isothermal gas flows in microchannels is studied using the lattice Boltzmann method. A novel equation relating Knudsen number with relaxation time is derived. The slipvelocity on the solid boundaries is reasonably realized by combining the bounce-back reflection with specular reflection in a certain proportion. Predicted characteristics in a two-dimensional microchannel flow, including slip-vel...

In this paper, we recall the linear version of the lattice Boltzmann schemes in the framework proposed by d’Humières. According to the equivalent equations we introduce a definition for a scheme to be isotropic at some order. This definition is chosen such that the equivalent equations are preserved by orthogonal transformations of the frame. The property of isotropy can be read through a group...

A new description of the binary fluid problem via the lattice Boltzmann method is presented which highlights the use of the moments in constructing two equilibrium distribution functions. This offers a number of benefits, including better isotropy, and a more natural route to the inclusion of multiple relaxation times for the binary fluid problem. In addition, the implementation of solid colloi...

In this thesis, the multiple-relaxation-time model of the collision operator in the lattice Boltzmann method is presented. In contrast to the simple Bhatnagar-GrossKrook approximation, not only a single but various relaxation parameters are available and can be used to optimise the simulation results. The main idea behind this approach is the construction of a space based on the moments of the ...

This paper deals with a solution approach suitable for (:omposite PDEs with interface conditions. We present a general framework based on interface relaxation which provides a uniform platform for building problem solving environmen\.s t1lrough efficient softwaIe integration and for implementing various relaxation schemes. Mathematically, this framework contains many existing domain decompositi...

In this work, we analyze three available domain decomposition methods. We also establish the convergence conditions. The theoretical analysis provides an interval in which a relaxation parameter has to be chosen in order to achieve convergence. Moreover, it allows the selection of the relaxation parameter so that convergence is achieved with the minimum number of iterations. Several example pro...