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Volume 13, Issue 1
Box-Line Relaxation Schemes for Solving the Steady Incompressible Navier-Stokes Equations Using Second-Order Upwind Differencing

Lin-Bo Zhang

J. Comp. Math., 13 (1995), pp. 32-50.

Published online: 1995-02

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  • Abstract

We extend the SCGS smoothing procedure (Symmetrical Collective Gauss-Seidel relaxation) proposed by S. P. Vanka$^{[4]}$, for multigrid solvers of the steady viscous incompressible Navier-Stokes equations, to corresponding line-wise versions. The resulting relaxation schemes are integrated into the multigrid solver based on second-order upwind differencing presented in [5]. Numerical comparisons on the efficiency of point-wise and line-wise relaxations are presented.

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@Article{JCM-13-32, author = { , Lin-Bo Zhang}, title = {Box-Line Relaxation Schemes for Solving the Steady Incompressible Navier-Stokes Equations Using Second-Order Upwind Differencing}, journal = {Journal of Computational Mathematics}, year = {1995}, volume = {13}, number = {1}, pages = {32--50}, abstract = {

We extend the SCGS smoothing procedure (Symmetrical Collective Gauss-Seidel relaxation) proposed by S. P. Vanka$^{[4]}$, for multigrid solvers of the steady viscous incompressible Navier-Stokes equations, to corresponding line-wise versions. The resulting relaxation schemes are integrated into the multigrid solver based on second-order upwind differencing presented in [5]. Numerical comparisons on the efficiency of point-wise and line-wise relaxations are presented.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9249.html} }
TY - JOUR T1 - Box-Line Relaxation Schemes for Solving the Steady Incompressible Navier-Stokes Equations Using Second-Order Upwind Differencing AU - , Lin-Bo Zhang JO - Journal of Computational Mathematics VL - 1 SP - 32 EP - 50 PY - 1995 DA - 1995/02 SN - 13 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/9249.html KW - AB -

We extend the SCGS smoothing procedure (Symmetrical Collective Gauss-Seidel relaxation) proposed by S. P. Vanka$^{[4]}$, for multigrid solvers of the steady viscous incompressible Navier-Stokes equations, to corresponding line-wise versions. The resulting relaxation schemes are integrated into the multigrid solver based on second-order upwind differencing presented in [5]. Numerical comparisons on the efficiency of point-wise and line-wise relaxations are presented.

Lin-Bo Zhang. (1970). Box-Line Relaxation Schemes for Solving the Steady Incompressible Navier-Stokes Equations Using Second-Order Upwind Differencing. Journal of Computational Mathematics. 13 (1). 32-50. doi:
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