An efficient split-operator scheme for 2-D advection-diffusion simulations using finite elements and characteristics

Yok Sheung Li, C. P. Chen

Research output: Journal article publicationJournal articleAcademic researchpeer-review

15 Citations (Scopus)


The 2-D advection-diffusion equation is solved by the split-operator method. In the advection phase, a weighted residual approach is employed to minimize the error generated by interpolations. Computer execution time is reduced by adopting Simpson's rule for some of the numerical integrations in the advection phase and by using an iteration strategy in the diffusion phase, thus avoiding the matrix inversion procedure in each time step. The proposed scheme is validated by test problems where analytic solutions for the 1-D and 2-D advection-diffusion equations are available.
Original languageEnglish
Pages (from-to)248-253
Number of pages6
JournalApplied Mathematical Modelling
Issue number4
Publication statusPublished - 1 Jan 1989


  • advection-diffusion simulation
  • finite element characteristic
  • Lagrangian element

ASJC Scopus subject areas

  • Modelling and Simulation
  • Applied Mathematics

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