Fast preconditioned multigrid solution of the Euler and NavierStokes equations for steady, compressible flows Academic Article

abstract

• AbstractNew versions of implicit algorithms are developed for the efficient solution of the Euler and NavierStokes equations of compressible flow. The methods are based on a preconditioned, lowerupper (LU) implementation of a nonlinear, symmetric GaussSeidel (SGS) algorithm for use as a smoothing algorithm in a multigrid method. Previously, this method had been implemented for flows in quasionedimensional ducts and for twodimensional flows past airfoils on boundaryconforming Otype grids for a variety of symmetric limited positive (SLIP) spatial approximations, including the scalar dissipation and convective upwind split pressure (CUSP) schemes. Here results are presented for both inviscid and viscous (laminar) flows past airfoils on boundaryconforming Ctype grids. The method is significantly faster than earlier explicit or implicit methods for inviscid problems, allowing solution of these problems to the level of truncation error in three to five multigrid cycles. Viscous solutions still require as many as twenty multigrid cycles. Copyright 2003 John Wiley & Sons, Ltd.

authors

• Jameson, Antony

published proceedings

• International Journal for Numerical Methods in Fluids

author list (cited authors)

• Caughey, D. A., & Jameson, A.

complete list of authors

• Caughey, David A||Jameson, Antony

publication date

• October 2003

publisher

• Wiley  Publisher

published in

• International Journal for Numerical Methods in Fluids  Journal

keywords

• 40 Engineering
• 4012 Fluid Mechanics And Thermal Engineering

Digital Object Identifier (DOI)

• 10.1002/fld.521

start page

• 537

end page

• 553

volume

• 43

issue

• 5

URL

• http://dx.doi.org/10.1002/fld.521