The Influence of Grid Orthogonality on the Convergence of the SIMPLE Algorithm for Solving Navier-Stokes Equations

910 Ogledov
913 Prenosov
Izvoz citacije: ABNT
DŽIJAN, Ivo ;VIRAG, Zdravko ;KOZMAR, Hrvoje .
The Influence of Grid Orthogonality on the Convergence of the SIMPLE Algorithm for Solving Navier-Stokes Equations. 
Strojniški vestnik - Journal of Mechanical Engineering, [S.l.], v. 53, n.2, p. 105-113, august 2017. 
ISSN 0039-2480.
Available at: <https://www.sv-jme.eu/sl/article/the-influence-of-grid-orthogonality-on-the-convergence-of-the-simple-algorithm-for-solving-navier-stokes-equations/>. Date accessed: 04 dec. 2021. 
doi:http://dx.doi.org/.
Džijan, I., Virag, Z., & Kozmar, H.
(2007).
The Influence of Grid Orthogonality on the Convergence of the SIMPLE Algorithm for Solving Navier-Stokes Equations.
Strojniški vestnik - Journal of Mechanical Engineering, 53(2), 105-113.
doi:http://dx.doi.org/
@article{.,
	author = {Ivo  Džijan and Zdravko  Virag and Hrvoje  Kozmar},
	title = {The Influence of Grid Orthogonality on the Convergence of the SIMPLE Algorithm for Solving Navier-Stokes Equations},
	journal = {Strojniški vestnik - Journal of Mechanical Engineering},
	volume = {53},
	number = {2},
	year = {2007},
	keywords = {Navier-Stokes equations; finite volume methods; SIMPLE algorithm; unstructured grid; },
	abstract = {A finite-volume method for solving the Navier-Stokes equations on a locally orthogonal unstructured grid using the SIMPLE algorithm has been developed. The developed method was compared with a similar method on a structured, not necessarily orthogonal grid, in terms of convergence history and the range of under-relaxation factors in which the methods converge. When the structured grid is orthogonal, the convergence rates of the two methods are similar. For the cases when the structured grid is nonorthogonal, the superiority of the proposed method on the locally orthogonal grid is demonstrated in terms of convergence history. In these cases, the range of under-relaxation factors in which the proposed method shows satisfactory convergence is much wider than for the method on the non-orthogonal grid.},
	issn = {0039-2480},	pages = {105-113},	doi = {},
	url = {https://www.sv-jme.eu/sl/article/the-influence-of-grid-orthogonality-on-the-convergence-of-the-simple-algorithm-for-solving-navier-stokes-equations/}
}
Džijan, I.,Virag, Z.,Kozmar, H.
2007 August 53. The Influence of Grid Orthogonality on the Convergence of the SIMPLE Algorithm for Solving Navier-Stokes Equations. Strojniški vestnik - Journal of Mechanical Engineering. [Online] 53:2
%A Džijan, Ivo 
%A Virag, Zdravko 
%A Kozmar, Hrvoje 
%D 2007
%T The Influence of Grid Orthogonality on the Convergence of the SIMPLE Algorithm for Solving Navier-Stokes Equations
%B 2007
%9 Navier-Stokes equations; finite volume methods; SIMPLE algorithm; unstructured grid; 
%! The Influence of Grid Orthogonality on the Convergence of the SIMPLE Algorithm for Solving Navier-Stokes Equations
%K Navier-Stokes equations; finite volume methods; SIMPLE algorithm; unstructured grid; 
%X A finite-volume method for solving the Navier-Stokes equations on a locally orthogonal unstructured grid using the SIMPLE algorithm has been developed. The developed method was compared with a similar method on a structured, not necessarily orthogonal grid, in terms of convergence history and the range of under-relaxation factors in which the methods converge. When the structured grid is orthogonal, the convergence rates of the two methods are similar. For the cases when the structured grid is nonorthogonal, the superiority of the proposed method on the locally orthogonal grid is demonstrated in terms of convergence history. In these cases, the range of under-relaxation factors in which the proposed method shows satisfactory convergence is much wider than for the method on the non-orthogonal grid.
%U https://www.sv-jme.eu/sl/article/the-influence-of-grid-orthogonality-on-the-convergence-of-the-simple-algorithm-for-solving-navier-stokes-equations/
%0 Journal Article
%R 
%& 105
%P 9
%J Strojniški vestnik - Journal of Mechanical Engineering
%V 53
%N 2
%@ 0039-2480
%8 2017-08-18
%7 2017-08-18
Džijan, Ivo, Zdravko  Virag, & Hrvoje  Kozmar.
"The Influence of Grid Orthogonality on the Convergence of the SIMPLE Algorithm for Solving Navier-Stokes Equations." Strojniški vestnik - Journal of Mechanical Engineering [Online], 53.2 (2007): 105-113. Web.  04 Dec. 2021
TY  - JOUR
AU  - Džijan, Ivo 
AU  - Virag, Zdravko 
AU  - Kozmar, Hrvoje 
PY  - 2007
TI  - The Influence of Grid Orthogonality on the Convergence of the SIMPLE Algorithm for Solving Navier-Stokes Equations
JF  - Strojniški vestnik - Journal of Mechanical Engineering
DO  - 
KW  - Navier-Stokes equations; finite volume methods; SIMPLE algorithm; unstructured grid; 
N2  - A finite-volume method for solving the Navier-Stokes equations on a locally orthogonal unstructured grid using the SIMPLE algorithm has been developed. The developed method was compared with a similar method on a structured, not necessarily orthogonal grid, in terms of convergence history and the range of under-relaxation factors in which the methods converge. When the structured grid is orthogonal, the convergence rates of the two methods are similar. For the cases when the structured grid is nonorthogonal, the superiority of the proposed method on the locally orthogonal grid is demonstrated in terms of convergence history. In these cases, the range of under-relaxation factors in which the proposed method shows satisfactory convergence is much wider than for the method on the non-orthogonal grid.
UR  - https://www.sv-jme.eu/sl/article/the-influence-of-grid-orthogonality-on-the-convergence-of-the-simple-algorithm-for-solving-navier-stokes-equations/
@article{{}{.},
	author = {Džijan, I., Virag, Z., Kozmar, H.},
	title = {The Influence of Grid Orthogonality on the Convergence of the SIMPLE Algorithm for Solving Navier-Stokes Equations},
	journal = {Strojniški vestnik - Journal of Mechanical Engineering},
	volume = {53},
	number = {2},
	year = {2007},
	doi = {},
	url = {https://www.sv-jme.eu/sl/article/the-influence-of-grid-orthogonality-on-the-convergence-of-the-simple-algorithm-for-solving-navier-stokes-equations/}
}
TY  - JOUR
AU  - Džijan, Ivo 
AU  - Virag, Zdravko 
AU  - Kozmar, Hrvoje 
PY  - 2017/08/18
TI  - The Influence of Grid Orthogonality on the Convergence of the SIMPLE Algorithm for Solving Navier-Stokes Equations
JF  - Strojniški vestnik - Journal of Mechanical Engineering; Vol 53, No 2 (2007): Strojniški vestnik - Journal of Mechanical Engineering
DO  - 
KW  - Navier-Stokes equations, finite volume methods, SIMPLE algorithm, unstructured grid, 
N2  - A finite-volume method for solving the Navier-Stokes equations on a locally orthogonal unstructured grid using the SIMPLE algorithm has been developed. The developed method was compared with a similar method on a structured, not necessarily orthogonal grid, in terms of convergence history and the range of under-relaxation factors in which the methods converge. When the structured grid is orthogonal, the convergence rates of the two methods are similar. For the cases when the structured grid is nonorthogonal, the superiority of the proposed method on the locally orthogonal grid is demonstrated in terms of convergence history. In these cases, the range of under-relaxation factors in which the proposed method shows satisfactory convergence is much wider than for the method on the non-orthogonal grid.
UR  - https://www.sv-jme.eu/sl/article/the-influence-of-grid-orthogonality-on-the-convergence-of-the-simple-algorithm-for-solving-navier-stokes-equations/
Džijan, Ivo, Virag, Zdravko, AND Kozmar, Hrvoje.
"The Influence of Grid Orthogonality on the Convergence of the SIMPLE Algorithm for Solving Navier-Stokes Equations" Strojniški vestnik - Journal of Mechanical Engineering [Online], Volume 53 Number 2 (18 August 2017)

Avtorji

Inštitucije

  • University of Zagreb, Faculty of Mechanical Engineering and Naval Architecture, Croatia
  • University of Zagreb, Faculty of Mechanical Engineering and Naval Architecture, Croatia
  • University of Zagreb, Faculty of Mechanical Engineering and Naval Architecture, Croatia

Informacije o papirju

Strojniški vestnik - Journal of Mechanical Engineering 53(2007)2, 105-113

A finite-volume method for solving the Navier-Stokes equations on a locally orthogonal unstructured grid using the SIMPLE algorithm has been developed. The developed method was compared with a similar method on a structured, not necessarily orthogonal grid, in terms of convergence history and the range of under-relaxation factors in which the methods converge. When the structured grid is orthogonal, the convergence rates of the two methods are similar. For the cases when the structured grid is nonorthogonal, the superiority of the proposed method on the locally orthogonal grid is demonstrated in terms of convergence history. In these cases, the range of under-relaxation factors in which the proposed method shows satisfactory convergence is much wider than for the method on the non-orthogonal grid.

Navier-Stokes equations; finite volume methods; SIMPLE algorithm; unstructured grid;