Tracking a sharp crested wave front in hyperbolic heat transfer

DOI10.1016/J.APM.2011.10.025zbMath1252.80006OpenAlexW1983233372MaRDI QIDQ693446

R. H. Sieberhagen, N. F. J. van Rensburg

Publication date: 7 December 2012

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2011.10.025

zbMATH Keywords

finite element methodhyperbolic heat conductionjump conditionnumerical oscillations

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20)

Related Items (1)

Comparing the dual phase lag, Cattaneo-Vernotte and Fourier heat conduction models using modal analysis

Cites Work

• Numerical analysis for the hyperbolic heat conduction problem under a pulsed surface disturbance
• Bio-heat transfer analysis during short pulse laser irradiation of tissues
• Modeling the heating of biological tissue based on the hyperbolic heat transfer equation
• Relativistic heat conduction
• Relativistic moving heat source
• Modelling hyperbolic heat conduction in a finite medium with periodic thermal disturbance and surface radiation
• Heat transfer mechanisms in thin film with laser heat source
• A spacetime discontinuous Galerkin method for hyperbolic heat conduction
• Heat waves
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