Two-dimensional numerical simulation of heat transfer with moving heat source in welding using the Finite Pointset Method

Reséndiz‐Flores, Edgar O.; Saucedo-Zendejo, Félix R.

doi:10.1016/j.ijheatmasstransfer.2015.06.023

Cited by 41 publications

(16 citation statements)

References 21 publications

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“…The transient 2D temperature field obtained by the moving mesh algorithm with N x = 50 and N y = 25, together with the corresponding physical mesh, is presented in Figure 3, at time instances t = 15 (a), 25, 35, and 45 (d), respectively. It turns out that these temperature fields show a good agreement with the results reported in [13,14]. It is also found that during the simulation, the physical mesh could be adjusted successfully and dynamically according to the temperature field, so that the algorithm always concentrates a number of mesh points in regions of interest as the monitor function indicated.…”

Section: A Heat Sourcesupporting

confidence: 79%

“…However, the singularity of delta function introduces additional difficulties especially for numerical simulation of practical engineering applications. Consequently, a well-defined smooth function such as the localized Gaussian distribution function is usually introduced to replace the delta function when researchers study the problem from numerical approaches [6,10,13,14]. In this paper, we are mainly interested in the heat conduction due to moving Gaussian point heat sources, which takes the form…”

Section: Mathematical Modelmentioning

confidence: 99%

“…A lot of research, including both numerical and analytical studies, can be found in the literature for this case. Here, the same problem settings as in [13,14] are considered. To be specific, the plate has the length of L x = 100 and the width of The test is simulated on the moving mesh with several different values of N x and N y .…”

Section: A Heat Sourcementioning

confidence: 99%

“…In comparison to analytical methods, numerical methods could only provide results approximately within an acceptable error tolerance, but they are more flexible to deal with the complicated yet practical situations such as the transient problem of multiple heat sources moving in a complex geometry of the material with time-dependent speeds [3]. However, most of numerical studies, regardless using meshless methods [13,14] or meshbased methods such as the finite element method [6,10], were concerned about problems involving only a heat source moving along a straight line with a constant speed, or multiple heat sources moving along parallel straight lines with the same constant speed. Apart from these, the technique of moving coordinate system, such that the heat source is stationary in the new coordinate system, is often introduced in both analytical and numerical analyses of the quasistationary problem [1,13].…”

Section: Introductionmentioning

confidence: 99%

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

Liu

2020

Advances in Mathematical Physics

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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.

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Section: A Heat Sourcesupporting

confidence: 79%

Section: Mathematical Modelmentioning

confidence: 99%

Section: A Heat Sourcementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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

Liu

2020

Advances in Mathematical Physics

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“…According to the literature, there were three methods to model a mobile heat source. The first method was based on the Rosenthal equation of a mobile heat source [12] [13]. The second was to move the source implicitly based on the transport term in the heat equation [14].…”

Section: Introductionmentioning

confidence: 99%

Hardness Profile Prediction for a 4340 Steel Spline Shaft Heat Treated by Laser Using a 3D Modeling and Experimental Validation

Hadhri¹,

Ouafi²,

Barka³

2016

MSCE

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Laser surface transformation hardening becomes one of the most effective processes used to improve wear and fatigue resistance of mechanical parts. In this process, the material physicochemical properties and the heating system parameters have significant effects on the characteristics of the hardened surface. To appropriately exploit the benefits presented by the laser surface hardening, it is necessary to develop a comprehensive strategy to control the process variables in order to produce desired hardened surface attributes without being forced to use the traditional and fastidious trial and error procedures. The paper presents a study of hardness profile predictive modeling and experimental validation for spline shafts using a 3D model. The proposed approach is based on thermal and metallurgical simulations, experimental investigations and statistical analysis to build the prediction model. The simulation of the hardening process is carried out using 3D finite element model on commercial software. The model is used to estimate the temperature distribution and the hardness profile attributes for various hardening parameters, such as laser power, shaft rotation speed and scanning speed. The experimental calibration and validation of the model are performed on a 3 kW Nd:Yag laser system using a structured experimental design and confirmed statistical analysis tools. The results reveal that the model can provide not only a consistent and accurate prediction of temperature distribution and hardness profile characteristics under variable hardening parameters and conditions but also a comprehensive and quantitative analysis of process parameters effects. The modelling results show a great concordance between predicted and measured values for the dimensions of hardened zones.

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A finite pointset method for Kuramoto–Sivashinsky equation based on mixed formulation

Doss,

Kousalya

2024

Math Methods in App Sciences

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In this paper, a second‐order splitting method is applied to the Kuramoto–Sivashinsky equation, and then a finite Pointset method (FPM) is employed to solve the resulting coupled system. FPM is a meshfree particle method which is a local iterative procedure based on the weighted least square approximation. The numerical example confirms that the FPM is effective and accurate for this kind of problem.

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Two-dimensional numerical simulation of heat transfer with moving heat source in welding using the Finite Pointset Method

Cited by 41 publications

References 21 publications

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

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

Hardness Profile Prediction for a 4340 Steel Spline Shaft Heat Treated by Laser Using a 3D Modeling and Experimental Validation

A finite pointset method for Kuramoto–Sivashinsky equation based on mixed formulation

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