Accurate computation of moist available potential energy with the Munkres algorithm
Name
POG stansifer_qjrms_2017.pdf
Size
436.31 KB
Format
Adobe PDF
Checksum (MD5)
74aeb9315e31209c73e264dd48583686
Author(s)
Stansifer, Eric Marshall
O'Gorman, Paul
Holt, Jareth Ian
Date Issued
September 2016
Journal
Quarterly Journal of the Royal Meteorological Society
Publisher
Wiley Blackwell
Citation
Stansifer, Eric M., Paul A. O’Gorman, and Jareth I. Holt. “Accurate Computation of Moist Available Potential Energy with the Munkres Algorithm.” Quarterly Journal of the Royal Meteorological Society 143, no. 702 (November 2, 2016): 288–292.
Version
Author's final manuscript
Abstract
The moist available potential energy (MAPE) of a domain of air is defined as the maximum amount of kinetic energy that can be released through reversible adiabatic motions of its air parcels. The MAPE can be calculated using a parcel‐moving algorithm that finds the minimum enthalpy state for a given set of thermodynamic assumptions. However, the parcel‐moving algorithms proposed previously do not always find the minimum enthalpy state. In this article, we apply the Munkres algorithm to find the exact minimum enthalpy state and compare this exact algorithm with four inexact algorithms, including a new divide‐and‐conquer algorithm. The divide‐and‐conquer algorithm performs well in practice, while being simpler and faster than the Munkres algorithm, and it is recommended for future calculation of MAPE when the exact result is not required. Keywords: Poisson Equation, Laplacian growth, Diffusion Field, analytic solution, ramified network, Golden ratio
MIT Department
Massachusetts Institute of Technology. Department of Earth, Atmospheric, and Planetary Sciences
Terms of Use
Creative Commons Attribution-Noncommercial-Share Alike
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1002/qj.2921
