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A High Resolution Scheme for the Numerical Simulation of Second Sound in Crystals

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Abstract

A high resolution essentially non-oscillatory (ENO) numerical scheme is applied to a new model of heat propagation in crystals for an accurate reconstruction of second sound waves. A splitting of the governing equations allows to approximate the differential terms and the forcing term by means of the ENO scheme and a Runge--Kutta third order scheme, respectively. Results obtained on data relative to a high purity crystal of NaF are in good agreement with the theoretical predictions.

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Authors and Affiliations

  1. C.N.R., Instituto per le Applicazioni del Calcolo, V.le del Policlinico 137, 00161, Roma, Italy

    MARIA M. CERIMELE & FRANCESCA PISTELLA

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  1. MARIA M. CERIMELE
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  2. FRANCESCA PISTELLA
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CERIMELE, M.M., PISTELLA, F. A High Resolution Scheme for the Numerical Simulation of Second Sound in Crystals. Meccanica 32, 85–92 (1997). https://doi.org/10.1023/A:1004294323419

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