A FINITE-DIFFERENCE METHOD OF HIGH-ORDER ACCURACY FOR THE SOLUTION OF THREE- DIMENSIONAL TRANSIENT HEAT CONDUCTION PROBLEMS
A finite-dlfference method is presented for solving threedimensional transient heat conduction problems. The method is a modification of the method of Douglas and Rachford which achieves the higher-order accuracy of a Crank- Nicholson formulation while preserving the advantages of the Douglas-Rachford method: unconditional stability and simplicity of solving the equations at each time level. Although the method is not applied, the analysis suggests that it will prove to be the most efficient method yet proposed for the numerical integration of three -dimensional transient heat conduction problems. (auth)
- Research Organization:
- Massachusetts Inst. of Tech., Cambridge
- NSA Number:
- NSA-15-029366
- OSTI ID:
- 4842789
- Journal Information:
- A.I.Ch.E. Journal, Journal Name: A.I.Ch.E. Journal Vol. Vol: 7
- Country of Publication:
- Country unknown/Code not available
- Language:
- English
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