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首页> 外文会议>2015 International Symposium on Mathematical Sciences and Computing Research >Implementation of finite difference method based on explicit and Crank-Nicolson method to the thermomechanical ice sheet model
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Implementation of finite difference method based on explicit and Crank-Nicolson method to the thermomechanical ice sheet model

机译：基于显式和Crank-Nicolson方法的有限差分法在热力学冰盖模型中的实现

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摘要

Thermomechanical ice sheet model is applied to simulate ice sheet behavior in the Antarctic region. The parameters involved are ice thickness, ice temperature and ice velocity. This model is proposed by Bueler (2012)[1]. It corresponding roughly to the two-dimensional European Ice Sheet Modeling Initiative (EISMENT) experiment and the thermomechanical coupling equation. Thus, the expression of thermomechanical coupling equations is quite simplified. The numerical discretization scheme for the model is explicit and Crank-Nicholson methods. The efficiency of the finite difference methods such as implicit, explicit and Crank-Nicholson methods for solving the partial differential equation (PDE) of thermomechanical ice sheet modeling is also determined. MATLAB has been choosing as the development platform for the implementations since it is well suited for the kind of computations required.
机译：应用热机械冰盖模型来模拟南极地区的冰盖行为。涉及的参数是冰的厚度，冰的温度和冰的速度。该模型是由Bueler（2012）[1]提出的。它大致对应于二维欧洲冰盖模型倡议（EISMENT）实验和热机械耦合方程。因此，热机械耦合方程的表达式被大大简化了。该模型的数值离散方案是显式方法和Crank-Nicholson方法。还确定了有限差分方法（例如隐式，显式和Crank-Nicholson方法）求解热力学冰盖模型偏微分方程（PDE）的效率。 MATLAB已被选作实现的开发平台，因为它非常适合所需的计算类型。

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