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• W2967991707 startingPage "112586" @default.
• W2967991707 abstract "The generalized thermal model is a thermodynamically consistent extension of the classical Fourier’s law for describing thermal energy transportation which is very relevant to applications involving very small length, time scales and/or at extremely low temperatures. Under such conditions, thermal propagation has been observed to manifest as waves, a phenomenon widely referred to as second sound effect. However, this is in contrast to the paradoxical prediction of the Fourier’s model that thermal disturbances propagate with infinite speed. In this work, we review the nonlinear model based on the theory of Green and Naghdi for thermal conduction in rigid bodies and present its implementation within a class of space–time methods. The unconditional stability of the time-discontinuous Galerkin method without restriction over the grid structure of the space–time domain is proved. We also perform a number of numerical experiments to study the convergence properties and analyze the thermal response of materials under short-pulsed laser heating in two space dimensions." @default.
• W2967991707 created "2019-08-22" @default.
• W2967991707 creator A5051853384 @default.
• W2967991707 creator A5075687931 @default.
• W2967991707 date "2019-12-01" @default.
• W2967991707 modified "2023-09-27" @default.
• W2967991707 title "Space–time Galerkin methods for simulation of laser heating using the generalized nonlinear model" @default.
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• W2967991707 doi "https://doi.org/10.1016/j.cma.2019.112586" @default.
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