The model of heat transfer of the arctic snow-ice layer in summer and numerical simulation

Yila Bai; Haiqing Zhao; Xu Zhang; Enmin Feng; Zhijun Li

doi:10.3934/jimo.2005.1.405

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2005, Volume 1, Issue 3: 405-414. Doi: 10.3934/jimo.2005.1.405

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The model of heat transfer of the arctic snow-ice layer in summer and numerical simulation

1.
Department of Applied Mathematics, Dalian University of Technology, Dalian, Liaoning, 116024, P.R.
2.
State Key Lab. of Coastal and offshore Eng, Dalian University of Technology, Dalian, Liaoning, 116024, P.R.

Received: August 31, 2004

Revised: February 28, 2005

Published: June 2005

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Abstract

For the Arctic ice layer with high temperature in summer, the concepts of enthalpy degree, specific enthalpy and enthalpy conduction coefficient etc. are introduced in terms of the concept of enthalpy in calorifics. Heat conduction equation of enthalpy is constructed in the process of phase transformation of the Arctic ice. The condition of determinant solution and the identification model of diffusion coefficient of enthalpy are presented. Half implicit difference scheme and Schwartz alternating direction iteration are applied to solve the enthalpy conduction equation and sensitivity equation. Furthermore the Newton-Raphson algorithm is used for identification. The numerical results illustrate that the mathematic model and optimization algorithm are precise and feasible by the data(2003.8)of the Second Chinese Arctic Research Expedition in situ.

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Mathematics Subject Classification: 49J20, 65C20, 68U20, 65N06.

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