Direct solution of Navier–Stokes equations by radial basis functions

“…This CFD software has many simulation code/tools for solving the fluid dynamics. The validation of the simulation procedure of this CFD software has been well established [9][10][11][12][13][14]. The standard k   model is adopted in this study.…”

Section: Simulation Of Wind Velocity Distribution Around the Buildingsmentioning

confidence: 99%

Wind Turbine Power Output Assessment in Built Environment

Nishimura¹,

Ito²,

Murata³

et al. 2013

SGRE

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In future planning of the city, it is very important to consider the proper intelligent integration of renewable energy sources into the built environment for developing smart cities. Analysis of the wind velocity profile in the built environment is very important for finding out the energy content in the wind and also to analyze the performance of wind turbines in the built environment. In this study, building topologies of smart city are investigated for finding out the wind velocity profile and the wind turbine power output in the built environment. The wind velocity distribution across buildings is numerically simulated by using commercial CFD (Computational Fluid Dynamics) software CFD-ACE+. Wind turbine power output is estimated by using the power curve of real commercial wind turbine and wind velocity distribution simulated by CFD software. It has been observed that the wind is accelerated in the intervening space between the buildings irrespective of distance between the walls of adjacent buildings under the condition, which are investigated in this study. The wind is accelerated across buildings, and is reduced rapidly after blowing through buildings, and recovered gradually. Since the wind is accelerated in the intervening space between buildings and reduced in the area at the back of buildings, a wind turbine should be installed at the area at the back of the buildings and located on center between the buildings. In this work, it is observed that size dimensions and layout of the building are effective in realizing a smart city for utilizing renewable energy such as wind turbine in the built environment.

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“…The incompressible Navier‐Stokes equation has been solved by meshless methods such as the MLS reproducing Kernel technique, the meshfree local Petrov‐Galerkin procedure, RBFs collocation method, meshless LRBFs method, the reduced‐order model based on the POD idea, a novel nonintrusive model reduction method, the VMEFG method, the 3D plate problem based on DQ approach, a novel vector‐potential formulation, approximate particular solutions, a novel immersed object method, boundary elements method combined with a finite difference procedure, and so on. Author of developed a new approach for solving MHD equation with high Hartmann numbers.…”

Section: Introductionmentioning

confidence: 99%

A proper orthogonal decomposition variational multiscale meshless interpolating element‐free Galerkin method for incompressible magnetohydrodynamics flow

Abbaszadeh

Dehghan

Navon

2020

Numerical Methods in Fluids

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Summary In the recent decade, the meshless methods have been handled for solving most of PDEs due to easiness of the meshless methods. One of the popular meshless methods is the element‐free Galerkin (EFG) method that was first proposed for solving some problems in the solid mechanics. The test and trial functions of the EFG are based on the special basis. Recently, some modifications have been developed to improve the EFG method. One of these improvements is the variational multiscale EFG procedure. In the current article, the shape functions of interpolation moving least squares approximation have been applied to the variational multiscale EFG technique for solving the incompressible magnetohydrodynamics flow. In order to reduce the elapsed CPU time of simulation, we employ a reduced‐order model based on the proper orthogonal decomposition technique. The current combination can be referred to as the reduced‐order variational multiscale EFG technique. To illustrate the reduction in CPU time used as well as the efficiency of the proposed method, we applied it for the two‐dimensional cases.

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Direct solution of Navier–Stokes equations by radial basis functions

Cited by 28 publications

References 20 publications

Morphological transitions in liquid crystal nanodroplets

Morphological transitions in liquid crystal nanodroplets

Wind Turbine Power Output Assessment in Built Environment

A proper orthogonal decomposition variational multiscale meshless interpolating element‐free Galerkin method for incompressible magnetohydrodynamics flow

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