2 papers
physics.geo-ph2025
Heat conduction with phase change in soils with macro-pores, snow, and cryoconite. Part I: unified model derivation and examples
Malgorzata Peszynska, Praveeni Mathangadeera, Madison Phelps +2
In this paper we extend models of thermal conduction with phase transition from micro- to macro-scale. Such models were previously developed for soils in permafrost regions from po…
math.NA2024
Unified analysis of algorithms for equilibrium, non-equilibrium, and hysteresis models of phase transition in permafrost
Malgorzata Peszynska, Nicholas Slugg
In this paper we consider a nonlinear partial differential equation describing heat flow with ice-water phase transition in permafrost soils. Such models and their numerical approx…