We consider a variational problem for three-dimensional (3D) classical lattice models. We construct the trial state as a two-dimensional product of local variational weights that contain auxiliary variables. We propose a stable numerical algorithm for the maximization of the variational partition function per layer. Numerical stability and efficiency of the new method is examined through its ap...

A quasi-3D model has been developed to simulate the flow in planar microfluidic systems with low Reynolds numbers. The model was developed by decomposing the flow profile along the height of a microfluidic system into a Fourier series. It was validated against the analytical solution for flow in a straight rectangular channel and the full 3D numerical COMSOL Navier-Stokes solver for flow in a T...

This paper proposes a new efficient method that can animate botanical trees in 3D realistically. In this paper, a 3D botanical tree model consists of a set of branch segments, to which leaf models are attached. To reduce the amount of computation, instead of calculating the motions of all the branch segments, only the representative segment in each branch is numerically analyzed. The numerical ...

The purpose of this paper is to present a new type of dynamic balancing system, having a driving solution of the rotating part based on magnetic interactions. The magnetic system also plays the role of an elastic bearing. In the first part of the article is presented the technical solution which allows the dynamic balancing evaluation depending on the radial displacement between two disks with ...

java is an object-oriented program that has abundant open-source libraries for application development and 3d model rendering. spatial database is the database that can efficiently store and manage geographic information data though various spatial data management techniques. this paper explores the rationale of coupling java with spatial database to develop an effective platform for future bui...

The article presents a three-dimensional mathematical model of the gas filtration process in porous media and numerical algorithm for solving initial-boundary value problem. developed is described using nonlinear differential equation partial derivatives with appropriate initial boundary conditions. proposed apparatus makes it possible to carry out hydrodynamic calculations taking into account ...