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Volume 15, Issue 4-5
Modular Nonlinear Filter Based Time Relaxation Scheme for High Reynolds Number Flows

Aziz Takhirov, Monika Neda & Jiajia Waters

Int. J. Numer. Anal. Mod., 15 (2018), pp. 699-714.

Published online: 2018-04

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  • Abstract

In this article, we propose and develop a time relaxation implementation of the modular nonlinear filter model of [21]. A complete numerical analysis of the scheme, that includes the computability of its numerical solutions, its stability, and velocity error estimates, is given. This is followed by 2D and 3D numerical experiments that show the advantage of the proposed scheme.

  • Keywords

Time relaxation, finite element, nonlinear filtering, deconvolution, Navier-Stokes. equations

  • AMS Subject Headings

65N30

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

aziz.takhirov@math.tamu.edu (Aziz Takhirov)

monika.neda@unlv.edu (Monika Neda)

jwaters@lanl.gov (Jiajia Waters)

  • BibTex
  • RIS
  • TXT
@Article{IJNAM-15-699, author = {Takhirov , AzizNeda , Monika and Waters , Jiajia}, title = {Modular Nonlinear Filter Based Time Relaxation Scheme for High Reynolds Number Flows}, journal = {International Journal of Numerical Analysis and Modeling}, year = {2018}, volume = {15}, number = {4-5}, pages = {699--714}, abstract = {

In this article, we propose and develop a time relaxation implementation of the modular nonlinear filter model of [21]. A complete numerical analysis of the scheme, that includes the computability of its numerical solutions, its stability, and velocity error estimates, is given. This is followed by 2D and 3D numerical experiments that show the advantage of the proposed scheme.

}, issn = {2617-8710}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/ijnam/12538.html} }
TY - JOUR T1 - Modular Nonlinear Filter Based Time Relaxation Scheme for High Reynolds Number Flows AU - Takhirov , Aziz AU - Neda , Monika AU - Waters , Jiajia JO - International Journal of Numerical Analysis and Modeling VL - 4-5 SP - 699 EP - 714 PY - 2018 DA - 2018/04 SN - 15 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/ijnam/12538.html KW - Time relaxation, finite element, nonlinear filtering, deconvolution, Navier-Stokes. equations AB -

In this article, we propose and develop a time relaxation implementation of the modular nonlinear filter model of [21]. A complete numerical analysis of the scheme, that includes the computability of its numerical solutions, its stability, and velocity error estimates, is given. This is followed by 2D and 3D numerical experiments that show the advantage of the proposed scheme.

Takhirov , AzizNeda , Monika and Waters , Jiajia. (2018). Modular Nonlinear Filter Based Time Relaxation Scheme for High Reynolds Number Flows. International Journal of Numerical Analysis and Modeling. 15 (4-5). 699-714. doi:
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