198422nd Aerospace Sciences MeetingRequires access

Multigrid solution of the Euler equations for aircraft configurations

A. Jameson, Timothy J. Baker

Open publisher page 195 citations

Abstract

A multigrid scheme for solving the Euler equations is presented. The method he5 been successfuily applied to two-dimensional airfoil calculations on both &type and C-type meshes. In three dimensions the scheme has proved equally effective and calculations of flows over wing/body cornbinations are possible with conve-gence achieved in less than 100 cycles. I. introduction Multigrid has emerged as a particularly efficient technique for accelerating the convergence of numerical calculations. Although it was arginal ly devised and applied to solve elliptic equations, cansideraSie interest has been generated

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What this paper is about

A multigrid scheme for solving the Euler equations is presented. The method he5 been successfuily applied to two-dimensional airfoil calculations on both &type and C-type meshes. In three dimensions the scheme has proved equally effective and calculations of flows over wing/body cornbinations are possible with conve-gence achieved in less than 100 cycles. I. introduction Multigrid has emerged as a particularly efficient technique for accelerating the convergence of numerical calculations. Although it was arginal ly devised and applied to solve elliptic equations, cansideraSie interest has been generated

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Available abstract

A multigrid scheme for solving the Euler equations is presented. The method he5 been successfuily applied to two-dimensional airfoil calculations on both &type and C-type meshes. In three dimensions the scheme has proved equally effective and calculations of flows over wing/body cornbinations are possible with conve-gence achieved in less than 100 cycles. I. introduction Multigrid has emerged as a particularly efficient technique for accelerating the convergence of numerical calculations. Although it was arginal ly devised and applied to solve elliptic equations, cansideraSie interest has been generated

Key concepts: Multigrid method, Euler equations, Polygon mesh, Airfoil, Euler's formula, Convergence (economics), Semi-implicit Euler method, Applied mathematics

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