A finite element modified method of characteristics for convective heat transport

2008 ◽  
Vol 24 (3) ◽  
pp. 776-798 ◽  
Author(s):  
Mofdi El-Amrani ◽  
Mohammed Seaïd
Keyword(s):  
Finite Element ◽  
Heat Transport ◽  
Convective Heat ◽  
Method Of Characteristics ◽  
Modified Method ◽  
Modified Method Of Characteristics

scholarly journals MODIFIED METHOD OF CHARACTERISTICS VARIATIONAL MULTISCALE FINITE ELEMENT METHOD FOR TIME DEPENDENT NAVIER-STOKES PROBLEMS

2015 ◽  
Vol 20 (5) ◽  
pp. 658-680 ◽  
Author(s):  
Zhiyong Si ◽  
Yunxia Wang ◽  
Xinlong Feng
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Method Of Characteristics ◽  
Numerical Results ◽  
Time Dependent ◽  
Navier Stokes ◽  
Variational Multiscale ◽  
Modified Method ◽  
Modified Method Of Characteristics ◽  
Element Method

In this paper, a modified method of characteristics variational multiscale (MMOCVMS) finite element method is presented for the time dependent NavierStokes problems, which is leaded by combining the characteristics time discretization with the variational multiscale (VMS) finite element method in space. The theoretical analysis shows that this method has a good convergence property. In order to show the efficiency of the MMOCVMS finite element method, some numerical results of analytical solution problems are presented. First, we give some numerical results of lid-driven cavity flow with Re = 5000 and 7500 as the time is sufficient long. From the numerical results, we can see that the steady state numerical solutions of the time-dependent Navier-Stokes equations are obtained. Then, we choose Re = 10000, and we find that the steady state numerical solution is not stable from t = 200 to 300. Moreover, we also investigate numerically the flow around a cylinder problems. The numerical results show that our method is highly efficient.

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