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Title: Spline approximation to the freezing of water in a cyclindrical hole drilled in an ice sheet
Authors: Takagi, Shunsuke, 1919-
Keywords: Boreholes
Ice physics
Ice-water interface
Geophysical prospecting
Land ice
Subsurface investigations
Publisher: Cold Regions Research and Engineering Laboratory (U.S.)
Engineer Research and Development Center (U.S.)
Series/Report no.: Research report (Cold Regions Research and Engineering Laboratory (U.S.)) ; 328.
Description: Research Report
Abstract: 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.
Rights: Approved for public release; distribution is unlimited.
Appears in Collections:CRREL Research Report

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