Application of the conservation element and solution element method in numerical modeling of heat conduction with melting and/or freezing

DOI10.1108/09615530310475902zbMath1082.80001OpenAlexW2027783148MaRDI QIDQ4441994

Anahita Ayasoufi, Theo G. Jun. Keith

Publication date: 2003

Published in: International Journal of Numerical Methods for Heat & Fluid Flow (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1108/09615530310475902

zbMATH Keywords

numerical modelingconservation element and solution element methodStefan number

Mathematics Subject Classification ID

Stefan problems, phase changes, etc. (80A22) Finite element, Galerkin and related methods applied to problems in thermodynamics and heat transfer (80M10)

Related Items

Implementation of an X-FEM solver for the classical two-phase Stefan problem

Uses Software

• FLUX

Cites Work

• On the numerical integration of a parabolic differential equation subject to a moving boundary condition
• Accurate solutions of moving boundary problems using the enthalpy method
• The method of space-time conservation element and solution element -- a new approach for solving the Navier-Stokes and Euler equations
• The space-time conservation element and solution element method: A new high-resolution and genuinely multidimensional paradigm for solving conservation laws
• A general starting solution for melting and solidifying slabs
• On adaptive time stepping approaches for thermal solidification processes
• SHORT COMMUNICATION A PHASE‐CHANGE TEMPERATURE‐BASED FORMULATION INCLUDING GENERAL LATENT HEAT EFFECTS
• Convergence and error bound analysis for the space-time CESE method
• Application of the space-time conservation element and solution element method to one-dimensional convection-diffusion problems
• A space-time conservation element and solution element method for solving the two- and three-dimensional unsteady Euler equations using quadilateral and hexahedral meshes.