CHARACTERISTICS-BASED, HIGH-ORDER ACCURATE AND NONOSCILLATORY NUMERICAL METHOD FOR HYPERBOLIC HEAT CONDUCTION

DOI10.1080/10407799008944951zbMath0711.76093OpenAlexW2053233767MaRDI QIDQ3496098

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Publication date: 1990

Published in: Numerical Heat Transfer, Part B: Fundamentals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10407799008944951

zbMATH Keywords

hyperbolic equationtotal variation diminishing schemesclassical Fourier heat conduction equationfinite thermal wave propagationLax-Wendroff and Beam-Warming schemesMacCormack's predictor-corrector schemes

Mathematics Subject Classification ID

Diffusion and convection (76R99)

Related Items (11)

Numerical solution of hyperbolic heat conduction in cylindrical and spherical systems ⋮ A hybrid Green's function method for the hyperbolic heat conduction problems ⋮ Numerical solution of hyperbolic heat conduction problems in the cylindrical coordinate system by the hybrid Green's function method ⋮ Non-Fourier heat conduction in an exponentially graded slab ⋮ Transient thermal cracking associated with non-classical heat conduction in cylindrical coordinate system ⋮ A spacetime discontinuous Galerkin method for hyperbolic heat conduction ⋮ Angled derivative approximation of the hyperbolic heat conduction equations ⋮ Non-Fourier heat conduction in layered composite materials with an interface crack ⋮ Splitting schemes for hyperbolic heat conduction equation ⋮ Notable physical anomalies manifested in non-Fourier heat conduction under the dual-phase-lag model ⋮ Anti-diffusive methods for hyperbolic heat transfer

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