Newton-Raphson Iteration in Transient Thermal Analysis

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SUMMARY

The discussion centers on the application of Newton-Raphson iterations in transient thermal analysis using Finite Element Analysis (FEA) with implicit schemes, specifically the Crank-Nicolson method. Shriram expresses confusion regarding the necessity of these iterations based on the residual vector at each time-step. Matt clarifies that the Crank-Nicolson method is a finite difference method, not applicable to FEA, suggesting that users should consult their FEA program's help manual for further guidance.

PREREQUISITES
  • Understanding of transient thermal analysis
  • Familiarity with Finite Element Analysis (FEA)
  • Knowledge of implicit schemes in numerical methods
  • Basic principles of the Crank-Nicolson method
NEXT STEPS
  • Research the differences between finite difference methods and finite element methods
  • Explore the implementation of Newton-Raphson iterations in numerical analysis
  • Study the Crank-Nicolson method in detail for transient heat conduction problems
  • Consult FEA software documentation for specific iterative methods used
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Engineers and researchers involved in thermal analysis, numerical method practitioners, and anyone utilizing FEA software for transient thermal simulations.

Shriram
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Hi,

I have been quite confused about this for sometime now. It has not been mentioned clearly in the books/references that I have looked into.

In transient thermal analysis using FEA with implicit scheme or the Crank Nicolson scheme, are there Newton Raphson iterations based on the residual vector in every time-step?

Any insights or suggestions are highly appreciated.


Thanks,
Shriram
 
Engineering news on Phys.org
The Crank-Nicolson is a finite difference method, not a finite element method.

Have you checked your FEA programs help manual?

Thanks
Matt
 

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