Spectral Element Method Based Conjugate Heat Transfer Simulation of Impinging Jet Flows

2022 ◽  
Author(s):  
Nadish Saini ◽  
Muhsin Ameen ◽  
Saumil Patel ◽  
Miad Yazdani
Keyword(s):  
Heat Transfer ◽  
Conjugate Heat Transfer ◽  
Spectral Element Method ◽  
Impinging Jet ◽  
Spectral Element ◽  
Jet Flows ◽  
Heat Transfer Simulation ◽  
Element Method

Three Dimensional Simulations of Convective Heat Transfer With Spectral Element Method

2017 ◽  
Author(s):  
Don Liu ◽  
Yong-Lai Zheng ◽  
Arden Moore
Keyword(s):  
Heat Transfer ◽  
Convective Heat Transfer ◽  
Convective Heat ◽  
Spectral Element Method ◽  
Stokes Equations ◽  
Three Dimensional ◽  
Spectral Element ◽  
Viscous Heating ◽  
Thermal Buoyancy ◽  
Element Method

This paper presents new equations for simulating three-dimensional convective heat transfer using the complete viscous dissipation function in the energy equation to account for the viscous heating and incorporating the Boussinesq approximation for the thermal buoyancy term in the Navier-Stokes equations. In addition, new implementation of fourth order Stiffly Stable schemes were achieved and tested for time integration. In order to provide dual-level mesh refinement, for flexible spatial resolutions, a modal spectral element method was implemented in solving these equations in three dimensions. Simulation results demonstrate that these new equations and implementations are accurate enough for investigating convective heat transfer with viscous heating subject to complex thermal and flow boundary conditions in three dimensional irregular domains using the high order finite element method.

Spectral Element Approach for Coupled Radiative and Conductive Heat Transfer in Semitransparent Medium

2007 ◽  
Vol 129 (10) ◽  
pp. 1417-1424 ◽  
Author(s):  
J. M. Zhao ◽  
L. H. Liu
Keyword(s):  
Heat Transfer ◽  
Transfer Equation ◽  
Spectral Element Method ◽  
Radiative Transfer Equation ◽  
Spectral Element ◽  
Conductive Heat Transfer ◽  
Conductive Heat ◽  
Element Approach ◽  
Semitransparent Medium ◽  
Element Method

A spectral element method is presented to solve coupled radiative and conductive heat transfer problems in multidimensional semitransparent medium. The solution of radiative energy source is based on a second order radiative transfer equation. Both the second order radiative transfer equation and the heat diffusion equation are discretized by spectral element approach. Four various test problems are taken as examples to verify the performance of the spectral element method. The h-and the p-convergence characteristics of the spectral element method are studied. The convergence rate of p refinement for different values of Planck number follows the exponential law and is superior to that of h refinement. The spectral element method has good property to tolerate skewed meshes. The predicted dimensionless temperature distributions determined by the spectral element method agree well with the results in references. The presented method is very effective to solve coupled radiative and conductive heat transfer in semitransparent medium with complex configurations and demands little on the quality of mesh.

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