Mixed finite elements for convection-coupled phase-change in enthalpy form: open software verified and applied to 2D benchmarks

DOI10.1016/j.camwa.2020.11.008OpenAlexW3118566831WikidataQ114201550 ScholiaQ114201550MaRDI QIDQ2226809

Alexander G. Zimmerman, Julia Kowalski

Publication date: 9 February 2021

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.04414

zbMATH Keywords

regularizationmixed finite elementsnonlinearcomputational fluid dynamicsphase-changefiredrake

Mathematics Subject Classification ID

Stefan problems, phase changes, etc. (80A22) Multiphase and multicomponent flows (76T99) Finite element methods applied to problems in fluid mechanics (76M10) Free convection (76R10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Related Items

Numerical model for studying axisymmetric thermal energy storages based on granular phase change materials with gaseous heat transfer fluid, On the convergence of a low order Lagrange finite element approach for natural convection problems, Mixed-primal methods for natural convection driven phase change with Navier-Stokes-Brinkman equations, sapphire

Uses Software

• PETSc
• MUMPS
• mpi4py
• PT-Scotch
• UFL
• Python
• Firedrake
• TSFC
• petsc4py

Cites Work

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• A Fully Asynchronous Multifrontal Solver Using Distributed Dynamic Scheduling
• A Newton method with adaptive finite elements for solving phase-change problems with natural convection
• Analysis of heat transfer during melting from a vertical wall
• A comprehensive numerical model for melting with natural convection
• Stability and finite element approximation of phase change models for natural convection in porous media
• New mixed finite element methods for natural convection with phase-change in porous media
• Firedrake
• Fixed grid techniques for phase change problems: A review
• An enthalpy method for convection/diffusion phase change
• Freezing of Water in a Differentially Heated Cubic Cavity
• TSFC: A Structure-Preserving Form Compiler
• Temporal accuracy analysis of phase change convection simulations using the JFNK‐SIMPLE algorithm
• Unified form language
• A finite-element toolbox for the simulation of solid-liquid phase-change systems with natural convection