The Various Layer Explicit Schemes and Their Applications for Heat Transport Equations at the Microscale

CHINESE JOURNAL OF COMPUTATIONAL PHYSICS ›› 2004, Vol. 21 ›› Issue (4): 335-340.

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The Various Layer Explicit Schemes and Their Applications for Heat Transport Equations at the Microscale

TANG Chen^1,2, ZHANG Gui-min¹, YAN Hai-qing¹, LI Wen-run¹, ZHANG Hao¹, LIU Ming¹

1. Dept of Applied Physics, Tianjing Univ, Tianjing 300072, China;
2. State Key Lab of Nonlinear Mechanics, Institute of Sciences, Beijing 100080, China

Received:2003-04-10 Revised:2003-09-05 Online:2004-07-25 Published:2004-07-25

Abstract

Abstract: The various order explicit schemes based on exponential fitting and Newton interpolants are constructed for partial differential equations.The various precision can be achieved by employing the various order explicit schemes.When the schemes are applied to heat transport equations at the microscale and strong transient heat transport in thin film,the effects are admirable.Numerical calculations show the present method is high accurate and computationally efficient.

Key words: The various order explicit schemes, exponential fitting, heat transport equations at the microscale, strong transient heat transport in thin film

CLC Number:

O241

TANG Chen, ZHANG Gui-min, YAN Hai-qing, LI Wen-run, ZHANG Hao, LIU Ming. The Various Layer Explicit Schemes and Their Applications for Heat Transport Equations at the Microscale[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2004, 21(4): 335-340.

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The Various Layer Explicit Schemes and Their Applications for Heat Transport Equations at the Microscale

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