Numerical Solution of the Advection-Diffusion Equation: Fid-Bau Portal

Fachinformationsdienst BAUdigital

A platform for research: civil engineering, architecture and urbanism

Numerical Solution of the Advection-Diffusion Equation

Szymkiewicz, Romuald

Abstract In this chapter the numerical consequences of hybrid character of the transport equation leading to advection or diffusion dominated problems are shown. The Peclet number is introduced to distinguish the two cases. Some algorithms for the solution of 1D advection-diffusion equation are presented. They are based on the finite difference method, the finite element method and the splitting technique. The last one allows using the best numerical solvers applied separately for the advective and diffusive parts of transport equation as well as for the part containing source term. Equivalent role of the numerical and physical diffusion in the numerical solution is emphasized.

Access

Check availability in my library

Order at Subito €

Page navigation

Document information

Export, share and cite

Numerical Solution of the Advection-Diffusion Equation

Szymkiewicz, Romuald

Abstract In this chapter the numerical consequences of hybrid character of the transport equation leading to advection or diffusion dominated problems are shown. The Peclet number is introduced to distinguish the two cases. Some algorithms for the solution of 1D advection-diffusion equation are presented. They are based on the finite difference method, the finite element method and the splitting technique. The last one allows using the best numerical solvers applied separately for the advective and diffusive parts of transport equation as well as for the part containing source term. Equivalent role of the numerical and physical diffusion in the numerical solution is emphasized.

Numerical Solution of the Advection-Diffusion Equation

Szymkiewicz, Romuald

Abstract In this chapter the numerical consequences of hybrid character of the transport equation leading to advection or diffusion dominated problems are shown. The Peclet number is introduced to distinguish the two cases. Some algorithms for the solution of 1D advection-diffusion equation are presented. They are based on the finite difference method, the finite element method and the splitting technique. The last one allows using the best numerical solvers applied separately for the advective and diffusive parts of transport equation as well as for the part containing source term. Equivalent role of the numerical and physical diffusion in the numerical solution is emphasized.

Access

Check availability in my library

Order at Subito €

Page navigation

Document information

Export, share and cite

Document information

Title:

Numerical Solution of the Advection-Diffusion Equation

Contributors:

Szymkiewicz, Romuald (author)

Published in:

Numerical Modeling in Open Channel Hydraulics ; 263-300

Water Science and Technology Library ; 83

Publication date:

2009-12-12

Size:

38 pages

ISBN:

978-90-481-3673-5 , 978-90-481-3674-2

ISSN:

DOI:

https://doi.org/10.1007/978-90-481-3674-2_7

Type of media:

Article/Chapter (Book)

Type of material:

Electronic Resource

Language:

English

Keywords:

Engineering , Geoengineering, Foundations, Hydraulics , Environmental Engineering/Biotechnology , Computational Intelligence , Hydrogeology

Similar titles

NUMERICAL SOLUTION FOR ADVECTION-DIFFUSION EQUATION WITH SPATIALLY VARIABLE COEFFICIENTS

Shukla, V. P. / Singh, C. B. / Ghosh, L. K. | Taylor & Francis Verlag | 2001

NUMERICAL SOLUTION FOR ADVECTION-DIFFUSION EQUATION WITH SPATIALLY VARIABLE COEFFICIENTS

Ahmad, Z. | Taylor & Francis Verlag | 2000

Numerical Solution of the Advection Equation

Szymkiewicz, Romuald | Springer Verlag | 2009

Numerical Solution of Fractional Advection-Dispersion Equation

Deng, Zhi-Qiang | Online Contents | 2004

Numerical Solution of Fractional Advection-Dispersion Equation

Deng, Z.-Q. / Singh, V. P. / Bengtsson, L. | British Library Online Contents | 2004