3D analysis of magnetohydrodynamic flow employing meshless method based on weighted least square method

2016 ◽  
Author(s):  
Shuhei Matsuzawa ◽  
Katsuhiro Hirata ◽  
Fumikazu Miyasaka
Keyword(s):  
Meshless Method ◽  
Least Square Method ◽  
Magnetohydrodynamic Flow ◽  
Least Square ◽  
3D Analysis ◽  
Weighted Least Square

Numerical Analysis of Electromagnetic Levitation Employing Meshless Method Based on Weighted Least Square Method

2015 ◽  
Vol 15 (1) ◽  
pp. 29-34 ◽  
Author(s):  
Shuhei Matsuzawa ◽  
Kenta Mitsufuji ◽  
Yurika Miyake ◽  
Katsuhiro Hirata ◽  
Fumikazu Miyasaka
Keyword(s):  
Magnetic Field ◽  
Meshless Method ◽  
Fluid Motion ◽  
Electromagnetic Levitation ◽  
Least Square Method ◽  
Least Square ◽  
Weighted Least Square ◽  
Frequency Magnetic Field ◽  
Thermo Physical Properties ◽  
The Magnetic Field

AbstractElectromagnetic levitation is a kind of magnetohydrodynamic phenomena which is useful to measure the thermo-physical properties of pure metals under high temperature. However, this phenomenon is complicated and detailed mechanisms of this phenomenon have not been clarified yet. This study proposes the meshless method based on weighted least square method for the analysis of electromagnetic levitation. In this study, the fluid motion equation and the magnetic field equation are coupled by this method. The behavior of a molten metal under high-frequency magnetic field is calculated by this method.

Validation of Meshless Method Based on Weighted Least Square Method for Simulating Electromagnetic Levitation

2016 ◽  
Vol 52 (3) ◽  
pp. 1-4 ◽  
Author(s):  
Shuhei Matsuzawa ◽  
Kenta Mitsufuji ◽  
Yurika Miyake ◽  
Katsuhiro Hirata ◽  
Fumikazu Miyasaka
Keyword(s):  
Meshless Method ◽  
Electromagnetic Levitation ◽  
Least Square Method ◽  
Least Square ◽  
Weighted Least Square

scholarly journals Thermal Analysis of 2D FGM Beam Subjected to Thermal Loading Using Meshless Weighted Least-Square Method

2019 ◽  
Vol 2019 ◽  
pp. 1-10 ◽  
Author(s):  
H. M. Zhou ◽  
X. M. Zhang ◽  
Z. Y. Wang
Keyword(s):  
Meshless Method ◽  
Thermal Loading ◽  
Volume Fraction ◽  
Linear Equations ◽  
Least Square Method ◽  
Field Variable ◽  
Least Square ◽  
Power Law Distribution ◽  
Weighted Least Square ◽  
Fgm Beam

The paper analyzed the thermal problem of the 2D FGM beam using meshless weighted least-square (MWLS) method. The MWLS as a meshless method is fully independent of mesh, and an approximate function was used to construct a series of linear equations to solve the unknown field variable, which avoided the troublesome task of numerical integration. The effectiveness and accuracy of the approach were illustrated by a clamped-clamped FGM beam which was subjected with interior heat source. The volume fraction of FGM beam was assumed to be given by a simple power law distribution. The effective material properties of the FGM beam were assumed to be temperature independent and calculated by Mori-Tanaka method. The results showed that a good agreement was achieved between the proposed meshless method and commercial COMSOL Multiphysics.

Meshless Method Based on Weighted Least Square Method for Electrohydrodynamic Problems

2015 ◽  
Vol 51 (3) ◽  
pp. 1-4 ◽  
Author(s):  
Gaku Yoshikawa ◽  
Shuhei Matsuzawa ◽  
Katsuhiro Hirata ◽  
Fumikazu Miyasaka
Keyword(s):  
Meshless Method ◽  
Least Square Method ◽  
Least Square ◽  
Weighted Least Square
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