The Influence of Grid Orthogonality on the Convergence of the SIMPLE Algorithm for Solving Navier-Stokes Equations (CROSBI ID 132884)
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Džijan, Ivo ; Virag, Zdravko ; Kozmar, Hrvoje
engleski
The Influence of Grid Orthogonality on the Convergence of the SIMPLE Algorithm for Solving Navier-Stokes Equations
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
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