Spline Approximation to the Freezing of Water in a Cylindrical Hole Drilled in an Ice Sheet.
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.
Document Details
- Document Type
- Technical Report
- Publication Date
- Feb 01, 1975
- Accession Number
- ADA006581
Entities
People
- Shunsuke Takagi
Organizations
- Cold Regions Research and Engineering Laboratory