Volume 17, Issue 4
Multilevel Finite Volume Methods for 2D Incompressible Navier-Stokes Equations

J. K. Djoko, H. H. GideyB. D. Reddy

Int. J. Numer. Anal. Mod., 17 (2020), pp. 485-516.

Published online: 2020-08

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  • Abstract

In this work, implicit and explicit multilevel finite volume methods have been constructed to solve the 2D Navier-Stokes equation with specified initial condition and boundary conditions. The multilevel methods are applied to the pressure-correction projection method using space finite volume discretization. The convective term is approximated by a linear expression that preserves the physical property of the continuous model. The stability analysis of the numerical methods have been discussed thoroughly by making use of the energy method. Numerical experiments exhibited to illustrate some differences between the new (multilevel) and conventional (one-level) schemes.

  • Keywords

Navier-Stokes equations, stability, multilevel finite volume method.

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COPYRIGHT: © Global Science Press

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@Article{IJNAM-17-485, author = {K. Djoko , J. and H. Gidey , H. and D. Reddy , B.}, title = {Multilevel Finite Volume Methods for 2D Incompressible Navier-Stokes Equations}, journal = {International Journal of Numerical Analysis and Modeling}, year = {2020}, volume = {17}, number = {4}, pages = {485--516}, abstract = {

In this work, implicit and explicit multilevel finite volume methods have been constructed to solve the 2D Navier-Stokes equation with specified initial condition and boundary conditions. The multilevel methods are applied to the pressure-correction projection method using space finite volume discretization. The convective term is approximated by a linear expression that preserves the physical property of the continuous model. The stability analysis of the numerical methods have been discussed thoroughly by making use of the energy method. Numerical experiments exhibited to illustrate some differences between the new (multilevel) and conventional (one-level) schemes.

}, issn = {2617-8710}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/ijnam/17866.html} }
TY - JOUR T1 - Multilevel Finite Volume Methods for 2D Incompressible Navier-Stokes Equations AU - K. Djoko , J. AU - H. Gidey , H. AU - D. Reddy , B. JO - International Journal of Numerical Analysis and Modeling VL - 4 SP - 485 EP - 516 PY - 2020 DA - 2020/08 SN - 17 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/ijnam/17866.html KW - Navier-Stokes equations, stability, multilevel finite volume method. AB -

In this work, implicit and explicit multilevel finite volume methods have been constructed to solve the 2D Navier-Stokes equation with specified initial condition and boundary conditions. The multilevel methods are applied to the pressure-correction projection method using space finite volume discretization. The convective term is approximated by a linear expression that preserves the physical property of the continuous model. The stability analysis of the numerical methods have been discussed thoroughly by making use of the energy method. Numerical experiments exhibited to illustrate some differences between the new (multilevel) and conventional (one-level) schemes.

J. K. Djoko, H. H. Gidey & B. D. Reddy. (2020). Multilevel Finite Volume Methods for 2D Incompressible Navier-Stokes Equations. International Journal of Numerical Analysis and Modeling. 17 (4). 485-516. doi:
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