A Higher-Order Eulerian-Lagrangian Localized Adjoint Method for Two-Dimensional Unsteady Advection-Diffusion Problems
Year: 2012
Journal of Computational Mathematics, Vol. 30 (2012), Iss. 3 : pp. 324–336
Abstract
We present a higher-order in-space characteristic method for the solution of the transient advection diffusion equations in two space dimensions. This method uses biquadratic trial and test functions within the framework of the Eulerian-Lagrangian localized Adjoint Methods (ELLAM). It therefore maintains the advantages of previous ELLAM schemes. Namely, it treats general boundary conditions naturally in a systematic manner, conserves mass, and symmetrizes the governing transport equations. Moreover, it 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 establish its order of convergence numerically.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jcm.1110-m3465
Journal of Computational Mathematics, Vol. 30 (2012), Iss. 3 : pp. 324–336
Published online: 2012-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 13
Keywords: Advection-diffusion equations Characteristic methods Eulerian-Lagrangian methods Biquadratic interpolation.