Application of multi-grid methods for solving the Navier-Stokes equations
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Application of multi-grid methods for solving the Navier-Stokes equations by A. O. Demuren

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Published by National Aeronautics and Space Administration, For sale by the National Technical Information Service in [Washington, DC], [Springfield, Va .
Written in English


  • Navier-Stokes equations.

Book details:

Edition Notes

StatementA.O. Demuren.
SeriesNASA technical memorandum -- 102359.
ContributionsUnited States. National Aeronautics and Space Administration.
The Physical Object
Pagination1 v.
ID Numbers
Open LibraryOL14664443M

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However, a two-grid iteration closely related to a multi-grid algorithm for integral equations of the second kind (which we call a multi-grid iteration of the second kind) is already described in Author: Wolfgang Hackbusch.   In the present paper we introduce transforming iterations, an approach to construct smoothers for indefinite systems. This turns out to be a convenient tool to classify several well-known smoothing iterations for Stokes and Navier-Stokes equations and to predict their convergence behaviour, epecially in the case of high Reynolds-numbers. Using this approach, we are able to construct a new Cited by: The solution of the incompressible Navier-Stokes equations in general two- and three-dimensional domains using a multigrid method is considered. Because a great variety of boundary-fitted grids.   Abstract. An investigation of the efficiency of multigrid algorithms for the compressible Navier-Stokes equations is presented. The computational code that forms the basis for this investigation utilises a hybrid Godunov-type method and central differences for discretising the inviscid and viscous fluxes, respectively, as well as implicit-unfactored and explicit by: 1.

() An efficient multi-scale Poisson solver for the incompressible Navier–Stokes equations with immersed boundaries. Journal of Computational Physics , Cited by: SIAM Journal on Scientific and Statistical Computing , Abstract | PDF ( KB) () A Three-Field Diffusion Model of Three-Phase, Three-Component Flow for the Transient Three-Dimensional Computer Code IVA2/Cited by: Multigrid methods (MGMs) are used for discretized systems of partial differential equations (PDEs) which arise from finite difference approximation of the incompressible Navier–Stokes equations. After discretization and linearization of the equations, systems of linear algebraic equations (SLAEs) with a strongly non-Hermitian matrix : Galina Muratova, Tatiana Martynova, Evgeniya Andreeva, Vadim Bavin, Zeng-Qi Wang. A global method of generalized differential quadrature is applied to solve the two‐dimensional incompressible Navier‐Stokes equations in the vorticity‐stream‐function formulation. Numerical results for the flow past a circular cylinder were obtained using just a few grid points. A good agreement is found with the experimental data.

The book also contains a complete presentation of the multi-grid method of the second kind, which has important applications to integral equations (e.g. the "panel method") and to numerous other problems. Readers with a practical interest in multi-grid methods will benefit from this book as well as readers with a more theoretical interest. Multigrid (MG) methods in numerical analysis are algorithms for solving differential equations using a hierarchy of are an example of a class of techniques called multiresolution methods, very useful in problems exhibiting multiple scales of behavior. For example, many basic relaxation methods exhibit different rates of convergence for short- and long-wavelength components. Kun Wang, Iterative schemes for the non-homogeneous Navier-Stokes equations based on the finite element approximation, Computers & Mathematics with Applications, v n.1, p, January Xinping Shao, Danfu Han, Xianliang Hu, A p -version two level spline method for 2D Navier-Stokes equations, Computers & Mathematics with Cited by: This chapter reviews a multi-grid method designed to accelerate the convergence of implicit methods applied to solve the Navier-Stokes equations at high Reynolds number. The procedure is based upon the multi-grid theory devised by Brancht, extended by Ni and Johnson for the Euler and Navier-Stokes equations, and formulated by Denton for.