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https://hdl.handle.net/11681/5773| Title: | Spline approximation to the freezing of water in a cyclindrical hole drilled in an ice sheet |
| Authors: | Takagi, Shunsuke, 1919- |
| Keywords: | Boreholes Ice Ice physics Ice-water interface Geophysical prospecting Glaciology Glaciers 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. |
| URI: | http://hdl.handle.net/11681/5773 |
| Appears in Collections: | CRREL Research Report |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| CRREL-Research-Report-328.pdf | 356.84 kB | Adobe PDF |  View/Open |