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SPLINE APPROXIMATION TO THE FREEZING OF WATER IN A CYLINDRICAL HOLE DRILLED DRILLED IN AN ICE SHEET

机译：冰盘钻孔圆柱孔冻结的样条逼近

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An interpolation continuous up to the first-order derivatives is needed to solve this problem, because the first-order derivatives are used in the formulation of the movement of the freezing front. The requirement is met in this paper by use of a parabolic spline. The Crank-Nicholson formula is used to set up the predictor-corrector scheme of time integration. Several iterations are needed to advance one step in time because of the implicit nature of the Crank-Nicholson formula and the nonlinearity involved in the freezing problem.

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作者
Shunsuke Takagi;
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作者单位

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年度 1975
页码 1-17
总页数 17
原文格式 PDF
正文语种 eng
中图分类工业技术;
关键词
Ice; Splines; Approximation; Water; Freezing; Partial differential equations; Matrices(Mathematics); Numerical integration; Spline approximation; Galerkin method; Glaciology;

机译：冰;样条;逼近;水;冻结;偏微分方程;矩阵（数学）;数值积分;样条逼近; Galerkin方法;冰川学;

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SPLINE APPROXIMATION TO THE FREEZING OF WATER IN A CYLINDRICAL HOLE DRILLED DRILLED IN AN ICE SHEET

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