Finally, we demonstrate the efficacy of our control design in a simulation environment by trapping 100 Brownian particles in one, two and three dimensional homogeneous medium.
The interporosity flow function, constant shape factors and time-varying shape factors considering threshold pressure in one, two and three dimensional fractures are derived for low permeability fractured reservoirs under no pseudo-steady state hypothesis.
Note that for the value of the dispersion coefficient, it is not relevant whether the dispersion process takes place in one, two or three dimensional space.
This paper analyses use of 'off-the-shelf' finite element (FEM) software COMSOL Multiphysics™ in one, two and three-dimensional quantitative problems and under homogeneous and heterogeneous kinetic systems.
This study has applied numerical solutions to simulate the changing process of water quality in one and two dimensional spaces or in multiple dimensional spaces.
Furthermore, we study the problem of orthogonal range searching in one and two dimensional space under the model of λ-geometry, and propose efficient algorithms to solve it.
Numerical results are described which illustrate some important features of the proposed moving finite element method for solving problems in one and two dimensional space domains.
Extensive numerical experiments in one and two dimensional cases are performed to verify the accuracy, high resolution and efficiency of this new scheme.
On the basis of ab initio simulations, the value of strength of interatomic bonds in one-, two- and three-dimensional carbon crystals is obtained.
A variety of representative test cases of gas gas and gas liquid flows, ranging from acoustic waves and shock tubes to shock-interface interactions in one-, two- and three-dimensional domains, is used to demonstrate the capabilities and versatility of the presented algorithm in all Mach number regimes.
It has the advantage of confining and guiding the fluid along the yarns in a one, two or three dimensional space.
