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A Semi-Lagrangian Scheme for Advection-Diffusion Equation

11 pagesPublished: September 20, 2018

Abstract

This study proposes a semi-Lagrangian scheme for numerical simulation of advection-diffusion equation. The proposed method provides unconditional stability and highly accurate solutions even at large time steps. Another advantage of this method is that it requires a low computational time. Accuracy of the method is tested by a numerical application.

Keyphrases: advection-diffusion, contaminant transport, method of characteristics, Saulyev scheme

In: Goffredo La Loggia, Gabriele Freni, Valeria Puleo and Mauro De Marchis (editors). HIC 2018. 13th International Conference on Hydroinformatics, vol 3, pages 162--172

Links:
BibTeX entry
@inproceedings{HIC2018:Semi_Lagrangian_Scheme_for_Advection_Diffusion,
  author    = {Ersin Bahar and Gurhan Gurarslan},
  title     = {A Semi-Lagrangian Scheme for Advection-Diffusion Equation},
  booktitle = {HIC 2018. 13th International Conference on Hydroinformatics},
  editor    = {Goffredo La Loggia and Gabriele Freni and Valeria Puleo and Mauro De Marchis},
  series    = {EPiC Series in Engineering},
  volume    = {3},
  pages     = {162--172},
  year      = {2018},
  publisher = {EasyChair},
  bibsource = {EasyChair, https://easychair.org},
  issn      = {2516-2330},
  url       = {https://easychair.org/publications/paper/Kw2J},
  doi       = {10.29007/dvzm}}
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