An exact solution to the temperature equation in a column of ice and bedrock
Ed Bueler
TL;DR
This paper presents an exact analytical solution to the temperature conduction problem in ice and bedrock, serving as a verification tool for numerical models like PISM.
Contribution
The paper introduces a precise analytical solution for the temperature equation in ice and bedrock, aiding the validation of numerical simulation schemes.
Findings
Provides an exact solution for temperature conduction in ice and bedrock
Useful for verifying numerical schemes in ice sheet modeling
Supports the validation of PISM's energy conservation
Abstract
We construct a solution of a pure conduction problem in ice and bedrock. This solution is suitable for, and is used in this paper for, verifying a numerical scheme for conservation of energy. This exact solution forms one of a suite of verification tests for PISM (Parallel Ice Sheet Model; https://gna.org/projects/pism/).
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Taxonomy
TopicsCryospheric studies and observations · Geophysics and Gravity Measurements · Advanced Numerical Methods in Computational Mathematics