scholarly journals Implicit numerical schemes for generalized heat conduction equations

2018 ◽  
Vol 126 ◽  
pp. 1177-1182 ◽  
Author(s):  
Á. Rieth ◽  
R. Kovács ◽  
T. Fülöp
Author(s):  
Masa-Aki Tanaka ◽  
Hiroyuki Ohshima ◽  
Hideaki Monji

In Japan Atomic Energy Agency (JAEA), simulation code “MUGTHES (MUlti Geometry simulation code for THErmal-hydraulic and Structure heat conduction analysis in boundary fitted coordinate)” has been developed to evaluate thermal striping phenomena that are caused by turbulence mixing of fluids in different temperature. MUGTHES employs Boundary Fitted Coordinate (BFC) system to treat complex geometries in power plants. And MUGTHES can deal with three-dimensional transient thermal-hydraulic problem coupled with three-dimensional transient heat conduction in the surrounding structure in consideration of conjugated heat transfer. In this paper, numerical schemes for thermal-hydraulic simulation employed in MUGTHES are described including LES model. A simple method to limit numerical oscillation is adopted in energy equation solving process. A new iterative method to solve Poisson equation in BFC system is developed for effective transient calculations. This method is based on BiCGSTAB method and SOR technique. As the code validation of MUGTHES, a numerical simulation in a T-junction piping system with LES approach was conducted. Numerical results related to velocity and fluid temperature distributions were compared with an existing water experimental data and the applicability of numerical schemes with LES model in MUGTHES to the thermal striping phenomenon was confirmed.


1997 ◽  
Vol 07 (01) ◽  
pp. 125-138 ◽  
Author(s):  
L. E. Payne ◽  
J. C. Song

In this paper we investigate continuous dependence on the initial-time geometry for solutions of a generalized heat conduction system. Assuming the initial data to be measured on a surface t = εF(x), for |F| < 1, and assigned at t = 0, we examine the effects of this error in the initial-time geometry on the solution both forward and backward in time.


2020 ◽  
Vol 10 (1) ◽  
Author(s):  
Ahmed E. Abouelregal ◽  
K. M. Khalil ◽  
F. A. Mohammed ◽  
M. E. Nasr ◽  
Adam Zakaria ◽  
...  

2006 ◽  
Vol 73 (6) ◽  
pp. 846-850 ◽  
Author(s):  
L. S Pan ◽  
D Xu ◽  
J Lou ◽  
Q Yao

Sign in / Sign up

Export Citation Format

Share Document