Development of a multigrid code for 3-D Navier-Stokes equations and its application to a grid-refinement study

A multigrid acceleration technique has been developed to solve the three-dimensional Navier-Stokes equations efficiently. An explicit multistage Runge-Kutta type-of time-stepping scheme is used as the basic algorithm in conjunction with the multigrid scheme. A grid-refinement study has been conducte...

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Bibliographic Details
Published inComputers & fluids Vol. 18; no. 4; pp. 391 - 403
Main Authors Vatsa, Veer N., Wedan, Bruce W.
Format Journal Article
LanguageEnglish
Published Oxford Elsevier Ltd 1990
Elsevier Science
Subjects
Exact sciences and technology
Fluid dynamics
Fundamental areas of phenomenology (including applications)
General theory
Physics
Finite element method
Numerical simulation
Three dimensional flow
Navier Stokes equation
Multigrid
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Summary:A multigrid acceleration technique has been developed to solve the three-dimensional Navier-Stokes equations efficiently. An explicit multistage Runge-Kutta type-of time-stepping scheme is used as the basic algorithm in conjunction with the multigrid scheme. A grid-refinement study has been conducted to obtain grid converged solutions for transonic flow over a finite wing. Present solutions indicate that the number of multigrid cycles required to achieve a given level of convergence does not increase with the number of mesh points employed, making it a very attractive scheme for fine meshes.
ISSN:0045-7930
1879-0747
DOI:10.1016/0045-7930(90)90029-W