Time-Splitting Procedures for the Numerical Solution of the 2D Advection-Diffusion Equation
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-20, 20 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-11-17
Country of Publication
Egypt
No. of Pages
20
Main Subjects
Abstract EN
We perform a spectral analysis of the dispersive and dissipative properties of two time-splitting procedures, namely, locally one-dimensional (LOD) Lax-Wendroff and LOD (1, 5) [9] for the numerical solution of the 2D advection-diffusion equation.
We solve a 2D numerical experiment described by an advection-diffusion partial differential equation with specified initial and boundary conditions for which the exact solution is known.
Some errors are computed, namely, the error rate with respect to the L1 norm, dispersion and dissipation errors.
Lastly, an optimization technique is implemented to find the optimal value of temporal step size that minimizes the dispersion error for both schemes when the spatial step is chosen as 0.025, and this is validated by numerical experiments.
American Psychological Association (APA)
Appadu, A. R.& Gidey, H. H.. 2013. Time-Splitting Procedures for the Numerical Solution of the 2D Advection-Diffusion Equation. Mathematical Problems in Engineering،Vol. 2013, no. 2013, pp.1-20.
https://search.emarefa.net/detail/BIM-1032047
Modern Language Association (MLA)
Appadu, A. R.& Gidey, H. H.. Time-Splitting Procedures for the Numerical Solution of the 2D Advection-Diffusion Equation. Mathematical Problems in Engineering No. 2013 (2013), pp.1-20.
https://search.emarefa.net/detail/BIM-1032047
American Medical Association (AMA)
Appadu, A. R.& Gidey, H. H.. Time-Splitting Procedures for the Numerical Solution of the 2D Advection-Diffusion Equation. Mathematical Problems in Engineering. 2013. Vol. 2013, no. 2013, pp.1-20.
https://search.emarefa.net/detail/BIM-1032047
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1032047