Numerical simulation of transient heat conduction in a multilayer material by the conservation elements/solution elements (CE/SE) method

DOI10.1080/00207160.2020.1847278OpenAlexW3097173430MaRDI QIDQ5033371

Leo Courty, Jeremy Alloul, Dimitri Fabre, Thomas Ledevin, Mame J.-P. William-Louis

Publication date: 22 February 2022

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160.2020.1847278

zbMATH Keywords

heat equationmultilayerCOMSOLCE/SEFourier number insensitivity

Mathematics Subject Classification ID

Heat equation (35K05) PDEs in connection with classical thermodynamics and heat transfer (35Q79) Numerical analysis (65-XX)

Uses Software

• COMSOL

Cites Work

• Unnamed Item
• Finite difference schemes for multilayer diffusion
• Robust high-order space-time conservative schemes for solving conservation laws on hybrid meshes
• A characteristic space-time conservation element and solution element method for conservation laws
• Application of CESE method to simulate non-Fourier heat conduction in finite medium with pulse surface heating
• 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 characteristic space-time conservation element and solution element method for conservation laws II. Multidimensional extension
• Application of the space-time conservation element and solution element method to one-dimensional convection-diffusion problems

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