A Semi-Lagrange Numerical Scheme Involving Advection-Diffusion Properties of Transport Equations

Previously, we have derived a solution to an initial value problem of unsteady linear advection-diffusion equations by applying the spectral technique. The resulting solution is suitable for constructing a numerical scheme fully explicit with respect to time. Based on the solution, a new numerical s...

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Bibliographic Details
Published inJournal of Japan Society of Fluid Mechanics Vol. 19; no. 4; pp. 276 - 279
Main Authors SAKAI, Katsuhiro, SENBONGI, Hiroshi
Format Journal Article
LanguageJapanese
Published The Japan Society of Fluid Mechanics 2000
社団法人 日本流体力学会
Subjects
Numerical Analysis
Numerical Oscillations
Semi-Lagrange Method
Spectral Method
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ISSN0286-3154
2185-4912
DOI10.11426/nagare1982.19.276

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Summary:Previously, we have derived a solution to an initial value problem of unsteady linear advection-diffusion equations by applying the spectral technique. The resulting solution is suitable for constructing a numerical scheme fully explicit with respect to time. Based on the solution, a new numerical scheme renormalizing advection-diffusion properties of transport equations is proposed, which is absolutely stable for any large velocity and for any steep gradient of transported quantities. Numerical experiments for both uniform velocity and nonuniform velocity fields showed good solutions.
ISSN:0286-3154
2185-4912
DOI:10.11426/nagare1982.19.276