Affiliation:
1. Interdisciplinary Center for Applied Mathematics, Virginia Tech, Blacksburg, Virginia 24061, USA
Abstract
In this paper, a fourth-order compact stencil finite difference scheme is developed for solving elliptic Poisson equation. The scheme presented here is based on a modular approach using a linear combination of compact difference algorithms that results in different discrete formulation than the well-known Mehrstellen scheme. An adjoint optimal V-cycle multigrid (MG) iterative solver are developed, implemented, and tested. The robustness of the adjoint Poisson solver is illustrated by solving incompressible Navier–Stokes equations in vorticity-stream function formulation. Using a fully implicit factorized delta-scheme algorithm for the time integration, benchmark quality results of the cavity flow problem are presented and compared to existing literature for various Reynolds numbers.
Publisher
World Scientific Pub Co Pte Lt
Subject
Mechanical Engineering,Mechanics of Materials,General Materials Science
Cited by
3 articles.
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