Water Content of Glacier Ice at the Bed of Engabreen, Norway, from the Solution of a One-Dimensional Stefan Problem

• Main Authors: Denis Cohen Department, Denis Cohen
• Other Authors: The Pennsylvania State University CiteSeerX Archives
• Format: Text
• Language: English
• Subjects: Engabreen; Norway; glacier
• Online Access: http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.26.7919; http://www.msi.umn.edu/general/Reports/rptfiles/UMSI99-9/UMSI99-9.ps.Z

Contents 1 Introduction 1 2 Field Experiments 1 2.1 Apparatus . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 2.2 Experiments . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 3 Numerical Solutions of Stefan Problem 3 3.1 Hypothesis . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 3.2 Mathematical Formulation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 3.3 Dimensionless Equations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 3.4 Coordinate Transformation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 3.5 Numerical Algorithm: Variable Time-Step Method . . . . . . . . . . . . . . . . . . . 7 3.6 Testing of the Algorithm . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10 4 Results and Discussion 10 2 FIELD EXPERIMENTS 1 1 Introduc