Journal ArticleDOI
A new multigrid algorithm for non-linear equations in conjunction with time-marching procedures
K. Kanaka Durga,M. Ramakrishna +1 more
TLDR
An algorithm to apply the multigrid technique to the equations linearized in time is developed exploring this possibility and is implemented for two-dimensional incompressible and compressible flows coupled with explicit time marching procedures.Abstract:
Full approximate storage (FAS) multigrid algorithm is the most commonly used multigrid algorithm for non-linear equations. The algorithm initially developed for steady-state equations was later extended to obtain steady-state solutions employing unsteady equations. In extending the FAS algorithm for the steady-state non-linear equations to unsteady non-linear equations, the FAS algorithm does not to take into account that the governing equations are typically linearized in time before they are solved. Thus, there is a scope to develop a new multigrid algorithm to apply the multigrid technique to the equations linearized in time. In the present work, such an algorithm is developed exploring this possibility and is implemented for two-dimensional incompressible and compressible flows coupled with explicit time marching procedures. The results of the new algorithm compare favourably with those of the FAS multigrid method and single grid.read more
References
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Journal ArticleDOI
High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid method
U Ghia,K.N Ghia,C. T. Shin +2 more
TL;DR: The vorticity-stream function formulation of the two-dimensional incompressible NavierStokes equations is used to study the effectiveness of the coupled strongly implicit multigrid (CSI-MG) method in the determination of high-Re fine-mesh flow solutions.
Book
Computational Fluid Mechanics and Heat Transfer
TL;DR: In this paper, a reference record was created on 2005-11-18, modified on 2016-08-08 and used for CFD-based transfert de chaleur.
Journal ArticleDOI
Multi-level adaptive solutions to boundary-value problems
TL;DR: In this paper, the boundary value problem is discretized on several grids (or finite-element spaces) of widely different mesh sizes, and interactions between these levels enable us to solve the possibly nonlinear system of n discrete equations in 0(n) operations (40n additions and shifts for Poisson problems); and conveniently adapt the discretization (the local mesh size, local order of approximation, etc.) to the evolving solution in a nearly optimal way, obtaining "°°-order" approximations and low n, even when singularities are present.
Book
Computational methods for fluid flow
Roger Peyret,Thomas D. Taylor +1 more
TL;DR: In this article, the authors present a method for numerique numeriques for programmation with differences between finies and viscosite reference records. But the method is not presented in detail.
Computational methods for fluid flow
Roger Peyret,Thomas D. Taylor +1 more
TL;DR: In this article, the authors present a method for numerique numeriques for programmation with differences between finies and viscosite reference records. But the method is not presented in detail.