scholarly journals Numerical Analysis of the Incompressible Fluid Flow and Heat Transfer

2018 ◽  
Author(s):  
Toshio Tagawa
Keyword(s):  
Heat Transfer ◽  
Fluid Flow ◽  
Numerical Analysis ◽  
Incompressible Fluid ◽  
Incompressible Fluid Flow ◽  
Flow And Heat Transfer

scholarly journals Study on the Convective Term Discretized by Strong Conservation and Weak Conservation Schemes for Incompressible Fluid Flow and Heat Transfer

2013 ◽  
Vol 2013 ◽  
pp. 1-10
Author(s):  
Peng Wang ◽  
Bo Yu ◽  
Jianyu Xie ◽  
Yu Zhao ◽  
Jingfa Li ◽  
...  
Keyword(s):  
Heat Transfer ◽  
Fluid Flow ◽  
Incompressible Fluid ◽  
Convection Heat Transfer ◽  
Accurate Solution ◽  
Convective Term ◽  
Incompressible Fluid Flow ◽  
Convective Flux ◽  
Flow And Heat Transfer ◽  
The Stability

When the conservative governing equation of incompressible fluid flow and heat transfer is discretized by the finite volume method, there are various schemes to deal with the convective term. In this paper, studies on the convective term discretized by two different schemes, named strong and weak conservation schemes, respectively, are presented in detail. With weak conservation scheme, the convective flux at interface is obtained by respective interpolation and subsequent product of primitive variables. With strong conservation scheme, the convective flux is treated as single physical variable for interpolation. The numerical results of two convection heat transfer cases indicate that under the same computation conditions, discretizing the convective term by strong conservation scheme would not only obtain a more accurate solution, but also guarantee the stability of computation and the clear physical meaning of the solution. Especially in the computation regions with sharp gradients, the advantages of strong conservation scheme become more apparent.

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