scholarly journals Heat Conduction Simulation of 2D Moving Heat Source Problems Using a Moving Mesh Method

2020 ◽  
Vol 2020 ◽  
pp. 1-16
Author(s):  
Zhicheng Hu ◽  
Zhihui Liu
Keyword(s):  
Heat Conduction ◽  
Heat Source ◽  
Transient Heat Conduction ◽  
Moving Mesh ◽  
Heat Sources ◽  
Two Dimensional ◽  
Moving Heat Source ◽  
Moving Mesh Method ◽  
Mesh Method ◽  
The One

This paper focuses on efficiently numerical investigation of two-dimensional heat conduction problems of material subjected to multiple moving Gaussian point heat sources. All heat sources are imposed on the inside of material and assumed to move along some specified straight lines or curves with time-dependent velocities. A simple but efficient moving mesh method, which continuously adjusts the two-dimensional mesh dimension by dimension upon the one-dimensional moving mesh partial differential equation with an appropriate monitor function of the temperature field, has been developed. The physical model problem is then solved on this adaptive moving mesh. Numerical experiments are presented to exhibit the capability of the proposed moving mesh algorithm to efficiently and accurately simulate the moving heat source problems. The transient heat conduction phenomena due to various parameters of the moving heat sources, including the number of heat sources and the types of motion, are well simulated and investigated.

scholarly journals Numerical Investigation of Heat Conduction with Multiple Moving Heat Sources

Symmetry ◽  
2018 ◽  
Vol 10 (12) ◽  
pp. 673 ◽  
Author(s):  
Zhicheng Hu
Keyword(s):  
Heat Conduction ◽  
Blow Up ◽  
Adaptive Mesh ◽  
Moving Mesh ◽  
Heat Sources ◽  
Moving Mesh Method ◽  
Numerical Examples ◽  
Moving Sources ◽  
Mesh Method ◽  
Predictor Corrector

This paper is concerned about the efficiently numerical simulation of heat conduction problems with multiple heat sources that are allowed to move with different speeds. Based on the dynamical domain decomposition upon the trajectories of moving sources, which are solved by a predictor–corrector algorithm, a non-overlapping domain-decomposed moving mesh method is developed. Such a method can not only generate the adaptive mesh efficiently by parallel computing, but also greatly simplify the discretization of the underlying equations without loss of accuracy. Numerical examples for various motions of sources are presented to illustrate the accuracy, the convergence rate and the efficiency of the proposed method. The dependence of the solution on the moving sources such as the types of motion and the distance between sources is numerically investigated. A blow-up phenomenon that occurs at multiple locations simultaneously can also be well observed for the case of symmetrically moving sources.

An Adaptive Moving Mesh Method for Two-Dimensional Relativistic Hydrodynamics

2012 ◽  
Vol 11 (1) ◽  
pp. 114-146 ◽  
Author(s):  
Peng He ◽  
Huazhong Tang
Keyword(s):  
Iterative Procedure ◽  
Moving Mesh ◽  
Finite Volume Scheme ◽  
Relativistic Hydrodynamics ◽  
Two Dimensional ◽  
Moving Mesh Method ◽  
Governing Equations ◽  
Nonuniform Meshes ◽  
Mesh Method ◽  
Adaptive Moving Mesh Method

AbstractThis paper extends the adaptive moving mesh method developed by Tang and Tang [36] to two-dimensional (2D) relativistic hydrodynamic (RHD) equations. The algorithm consists of two “independent” parts: the time evolution of the RHD equations and the (static) mesh iteration redistribution. In the first part, the RHD equations are discretized by using a high resolution finite volume scheme on the fixed but nonuniform meshes without the full characteristic decomposition of the governing equations. The second part is an iterative procedure. In each iteration, the mesh points are first redistributed, and then the cell averages of the conservative variables are remapped onto the new mesh in a conservative way. Several numerical examples are given to demonstrate the accuracy and effectiveness of the proposed method.

scholarly journals Development of Finite Element Solver for Welding Analysis

2018 ◽  
Vol 2 (2) ◽  
Author(s):  
Abid Ali Khan ◽  
Farzeen Shahid ◽  
Ihtzaz Qamar
Keyword(s):  
Finite Element ◽  
Temperature Field ◽  
Heat Conduction ◽  
Heat Source ◽  
Welding Process ◽  
Transient Heat Conduction ◽  
Moving Heat Source ◽  
Structural Members ◽  
Final Solution ◽  
Governing Equations

Welding is a process of joining the similar or different metals. Improper welding process leads to inaccuracies and misalignments of structural members, causing high cost and delays in work. Therefore, it is essential to predict the temperature field during welding process. Different techniques can be used to predict the temperature field, which may lead to structure distortion. The present study aims to develop a finite element solver for transient heat conduction analysis. The final solution is calculated from the assumed solution and compared with the numerical computations. The solver is then modified for use of moving heat source. The modification comprise, change in governing equations with the inclusion of phase change. The moving heat source continuously increases the temperature during motion. When the heat source completes a pass, model is allowed to cool down in order to study the temperature distribution during cooling.

Sign in / Sign up

Export Citation Format

Share Document