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 - <p style="text-align: justify;">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.</p>