arrow
Volume 9, Issue 1
Solution of Advection Diffusion Equations in Two Space Dimensions by a Rational Eulerian Lagrangian Localized Adjoint Method over Hexagonal Grid

M. Al-Lawatia

Int. J. Numer. Anal. Mod., 9 (2012), pp. 43-55.

Published online: 2012-09

Export citation
  • Abstract

We present a characteristic method for the solution of the transient advection diffusion equations in two space-dimensions. This method uses Wachspress-type rational basis functions over hexagonal grids within the framework of the Eulerian Lagrangian localized adjoint methods (ELLAM). It therefore maintains the advantages of previous ELLAM schemes and generates accurate numerical solutions even if large time steps are used in the simulation. Numerical experiments are presented to illustrate the performance of this method and to investigate its convergence numerically.

  • AMS Subject Headings

74S30, 65M60, 65D05

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address
  • BibTex
  • RIS
  • TXT
@Article{IJNAM-9-43, author = {}, title = {Solution of Advection Diffusion Equations in Two Space Dimensions by a Rational Eulerian Lagrangian Localized Adjoint Method over Hexagonal Grid}, journal = {International Journal of Numerical Analysis and Modeling}, year = {2012}, volume = {9}, number = {1}, pages = {43--55}, abstract = {

We present a characteristic method for the solution of the transient advection diffusion equations in two space-dimensions. This method uses Wachspress-type rational basis functions over hexagonal grids within the framework of the Eulerian Lagrangian localized adjoint methods (ELLAM). It therefore maintains the advantages of previous ELLAM schemes and generates accurate numerical solutions even if large time steps are used in the simulation. Numerical experiments are presented to illustrate the performance of this method and to investigate its convergence numerically.

}, issn = {2617-8710}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/ijnam/610.html} }
TY - JOUR T1 - Solution of Advection Diffusion Equations in Two Space Dimensions by a Rational Eulerian Lagrangian Localized Adjoint Method over Hexagonal Grid JO - International Journal of Numerical Analysis and Modeling VL - 1 SP - 43 EP - 55 PY - 2012 DA - 2012/09 SN - 9 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/ijnam/610.html KW - Advection-diffusion equations, characteristic methods, Eulerian-Lagrangian methods, rational basis functions. AB -

We present a characteristic method for the solution of the transient advection diffusion equations in two space-dimensions. This method uses Wachspress-type rational basis functions over hexagonal grids within the framework of the Eulerian Lagrangian localized adjoint methods (ELLAM). It therefore maintains the advantages of previous ELLAM schemes and generates accurate numerical solutions even if large time steps are used in the simulation. Numerical experiments are presented to illustrate the performance of this method and to investigate its convergence numerically.

M. Al-Lawatia. (1970). Solution of Advection Diffusion Equations in Two Space Dimensions by a Rational Eulerian Lagrangian Localized Adjoint Method over Hexagonal Grid. International Journal of Numerical Analysis and Modeling. 9 (1). 43-55. doi:
Copy to clipboard
The citation has been copied to your clipboard