A Novel Method for Transient Heat Conduction in a Quasi-Periodic Structure With Nonlinear Defects

2020 ◽  
Vol 142 (12) ◽  
Author(s):  
Haichao Cui ◽  
Qiang Gao ◽  
Xiaolan Li ◽  
Huajiang Ouyang
Keyword(s):  
Heat Conduction ◽  
Periodic Structure ◽  
Nonlinear Problem ◽  
Superposition Principle ◽  
Nonlinear Problems ◽  
Transient Heat Conduction ◽  
Small Scale ◽  
Novel Method ◽  
Physical Features ◽  
Small Scale Structures

Abstract This paper proposes an efficient numerical method for transient heat conduction in a quasi-periodic structure with nonlinear defects. According to the physical features of transient heat conduction, a quasi-superposition principle for transient heat conduction in a quasi-periodic structure with nonlinear defects is presented, and then a new method is developed to separate the above nonlinear problem to be solved into a linear problem of a perfect periodic structure and nonlinear problems of some small-scale structures with defects. As the scale of nonlinear problem to be solved is significantly reduced and low computational resource is required, outstanding efficiency is achieved. Finally, a numerical example shows that the proposed method is effective and accurate.

An efficient and accurate method for transient heat conduction in a periodic structure with moving heat sources

2019 ◽  
Vol 30 (3) ◽  
pp. 1318-1344
Author(s):  
Haichao Cui ◽  
Qiang Gao ◽  
Xiaolan Li ◽  
Huajiang Ouyang
Keyword(s):  
Heat Conduction ◽  
Heat Source ◽  
Periodic Structure ◽  
Transient Heat Conduction ◽  
Accurate Method ◽  
Small Scale ◽  
Moving Heat Source ◽  
Time Step ◽  
Content Type ◽  
Temperature Responses

Purpose This paper aims to propose an efficient and accurate method to analyse the transient heat conduction in a periodic structure with moving heat sources. Design/methodology/approach The moving heat source is modelled as a localised Gaussian distribution in space. Based on the spatial distribution, the physical feature of transient heat conduction and the periodic property of structure, a special feature of temperature responses caused by the moving heat source is illustrated. Then, combined with the superposition principle of linear system, within a small time-step, computation of results corresponding to the whole structure excited by the Gaussian heat source is transformed into that of some small-scale structures. Lastly, the precise integration method (PIM) is used to solve the temperature responses of each small-scale structure efficiently and accurately. Findings Within a reasonable time-step, the heat source applied on a unit cell can only cause the temperature responses of a limited number of adjacent unit cells. According to the above feature and the periodic property of a structure, the contributions caused by the moving heat source for the most of time-steps are repeatable, and the temperature responses of the entire periodic structure can be obtained by some small-scale structures. Originality/value A novel numerical method is proposed for analysing moving heat source problems, and the numerical examples demonstrate that the proposed method is much more efficient than the traditional methods, even for larger-scale problems and multiple moving heat source problems.

A New and Efficient Meshless Computational Approach for Transient Heat Conduction in Anisotropic Nonhomogeneous Media: Fragile Points Method and Local Variational Iteration Scheme

2020 ◽  
Author(s):  
Yue Guan ◽  
Rade Grujicic ◽  
Xuechuan Wang ◽  
Leiting Dong ◽  
Satya N. Atluri
Keyword(s):  
Heat Conduction ◽  
Computing Time ◽  
Nonlinear Problems ◽  
Transient Heat Conduction ◽  
Current Approach ◽  
Computational Approach ◽  
Functionally Graded ◽  
Efficient Technology ◽  
Variational Iteration ◽  
Backward Euler

Abstract A new and efficient computational approach is presented for analyzing transient heat conduction problems. The Fragile Points Method (FPM) utilized for spatial discretization can, on one hand, like many other meshless methods, be free of the requirement of high-quality meshing, and on the other hand, bypass the difficulty of domain integration problem which is commonly seen in Galerkin meshfree methods. With local, polynomial and discontinuous trial and test functions, the method has a great potential in solving problems with rupture and fragmentation without remeshing. Anisotropy and nonhomogeneity which is challengeable for many spatial numerical methods do not give rise to any difficulties in the present implementation. The Local Variational Iteration Method (LVIM) in the time domain is a highly efficient technology in solving nonlinear problems, in which the time steps can be an order of magnitude larger than the traditional backward Euler scheme and the computing time can be cut by a half. The FPM+LVIM solver is also connected to the prepossessing module of ABAQUS which helps generating the domain partition. It shows the compatibility of the current approach with various partitions and makes it more friendly for engineer users. Several 2D and 3D numerical examples with functionally graded and composite materials are then provided as validations.

Exploring Coronal Structures with SOHO

2000 ◽  
Vol 179 ◽  
pp. 403-406
Author(s):  
M. Karovska ◽  
B. Wood ◽  
J. Chen ◽  
J. Cook ◽  
R. Howard
Keyword(s):  
Solar Corona ◽  
Image Enhancement ◽  
Coronal Mass Ejections ◽  
Dynamical Evolution ◽  
Small Scale ◽  
Low Contrast ◽  
Contrast Structures ◽  
Scale Structures ◽  
Small Scale Structures ◽  
Coronal Structures

AbstractWe applied advanced image enhancement techniques to explore in detail the characteristics of the small-scale structures and/or the low contrast structures in several Coronal Mass Ejections (CMEs) observed by SOHO. We highlight here the results from our studies of the morphology and dynamical evolution of CME structures in the solar corona using two instruments on board SOHO: LASCO and EIT.

TRANSIENT HEAT CONDUCTION IN ANISOTROPIC SOLIDS

1974 ◽  
Author(s):  
Kozo Katayama ◽  
Akio Saito ◽  
Nariyoshi Kobayashi
Keyword(s):  
Heat Conduction ◽  
Transient Heat Conduction

Numerical Solution using SPH Method: An Application to Transient Heat Conduction

2019 ◽  
Author(s):  
Almério José Venâncio Pains Soares Pamplona ◽  
Karoliny Freitas Silva ◽  
Cláudio Bucar Filho ◽  
Joel Vasco
Keyword(s):  
Heat Conduction ◽  
Numerical Solution ◽  
Transient Heat Conduction ◽  
Sph Method
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