A LOW-DIMENSIONAL APPROACH FOR LINEAR AND NONLINEAR HEAT CONDUCTION IN PERIODIC DOMAINS

2000 ◽  
Vol 38 (7) ◽  
pp. 719-738 ◽  
Author(s):  
Mizanur R. Siddique, Roger E. Khaya
Keyword(s):  
Heat Conduction ◽  
Nonlinear Heat Conduction ◽  
Dimensional Approach ◽  
Linear And Nonlinear ◽  
Periodic Domains ◽  
Low Dimensional

Optimal Weighting Factor for Single-Step Trapezoidal Method

2003 ◽  
Author(s):  
Fuzhang Zhao
Keyword(s):  
Heat Conduction ◽  
Weighting Factor ◽  
Single Step ◽  
Numerical Results ◽  
Nonlinear Heat Conduction ◽  
Step Method ◽  
Benchmark Tests ◽  
Optimal Weighting ◽  
Linear And Nonlinear

A new optimal weighting factor for a single-step trapezoidal method, θ = 0.618, has been developed to solve transient linear and nonlinear heat conduction problems. The numerical results based on the optimal weighting factor developed, through both linear and nonlinear benchmark tests, are compared with other commonly used single-step trapezoidal methods with emphasis on the combination of both accuracy and efficiency in the solution. The optimal weighting factor of single-step method has been proved to be very accurate, stable, and efficient. The relevant features for the single-step trapezoidal methods are also addressed.

Pseudo-updated constrained solution algorithm for nonlinear heat conduction

AIAA Journal ◽  
1983 ◽  
Vol 21 (6) ◽  
pp. 902-908 ◽  
Author(s):  
Surapong Tovichakchaikul ◽  
Joseph Padovan
Keyword(s):  
Heat Conduction ◽  
Solution Algorithm ◽  
Nonlinear Heat Conduction
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