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Exact solutions of the diffusion-convection equation in cylindrical geometry
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10.1063/1.2084887
/content/aip/journal/pop/12/10/10.1063/1.2084887
http://aip.metastore.ingenta.com/content/aip/journal/pop/12/10/10.1063/1.2084887
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

First five eigenfunctions for the case of constant and constant ; (dashed); (solid).

Image of FIG. 2.
FIG. 2.

Time evolution of the electron temperature for and constant, . The Gaussian source (centered at , half width , power of ) is also shown (in arbitrary units). Plasma parameters are , plasma minor radius , major radius , , and .

Image of FIG. 3.
FIG. 3.

Time evolution of the electron temperature for a linearly increasing pinch velocity . and . Other parameters as in Fig. 2.

Image of FIG. 4.
FIG. 4.

Time evolution of the electron temperature for a combination of domains with different transport coefficients. is constant and equal to for , then linearly increasing for ; and close to for . The Gaussian source, , and are also shown, in arbitrary units. Other parameters as in Fig. 2.

Image of FIG. 5.
FIG. 5.

Time evolution of the electron temperature for a step-like damping coefficient, i.e., for and for ; for , and increases as for ; . The Gaussian source, , and are also shown, in arbitrary units. Other parameters as in Fig. 2.

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/content/aip/journal/pop/12/10/10.1063/1.2084887
2005-10-17
2014-04-19
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Exact solutions of the diffusion-convection equation in cylindrical geometry
http://aip.metastore.ingenta.com/content/aip/journal/pop/12/10/10.1063/1.2084887
10.1063/1.2084887
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