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Author
Date
1997-10Type
- Report
ETH Bibliography
yes
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Abstract
Starting from a numerical scheme for solving systems of hyperbolic partial differential equations the transition to parabolic equations of the type of advection-diffusion equations needs a different treatment of the viscous part. Since we are using a genuine multi-dimensional scheme also the fact that the diffusion acts in infinitely many directions shall be captured properly. Therefore, to be able to use this scheme we have developed a decomposition of the scalar advection-diffusion equation into a special system of advection equations. In particular the interaction of the advection and diffusion part will be taken into account. The extension to the Navier-Stokes equations which are a system of mixed hyperbolic-parabolic type is possible and will be pointed out. Show more
Permanent link
https://doi.org/10.3929/ethz-a-004284924Publication status
publishedExternal links
Journal / series
SAM Research ReportVolume
Publisher
Seminar for Applied Mathematics, ETH ZurichSubject
Finite Volume Schemes; Hyperbolic conservation laws; Numerical Viscosity; Euler equations; Advection-Diffusion Equation; Navier-Stokes EquationsOrganisational unit
02501 - Seminar für Angewandte Mathematik / Seminar for Applied Mathematics
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ETH Bibliography
yes
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