Numerical solution of hyperbolic heat conduction in cylindrical and spherical systems (Q1334879)
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scientific article; zbMATH DE number 644353
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Numerical solution of hyperbolic heat conduction in cylindrical and spherical systems |
scientific article; zbMATH DE number 644353 |
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Numerical solution of hyperbolic heat conduction in cylindrical and spherical systems (English)
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2 February 1995
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Hyperbolic heat conduction problems in cylindrical and spherical coordinate systems are studied numerically. The major difficulties in such problems is the suppression of numerical oscillations in the neighborhood of a jump discontinuity. The proposed numerical method combines the Laplace transform technique for the time domain and the control volume formulation for the space domain. Due to the application of a hyperbolic shape function, it can be seen from the examples that the numerical solutions are stable and accurate.
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stability
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hyperbolic heat conduction
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numerical oscillations
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jump discontinuity
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Laplace transform technique
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control volume formulation
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hyperbolic shape function
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