@inproceedings{b1f88693c6054caea067508c2cfcbcad,
title = "On multigrid methods for the compressible navier-stokes equations",
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 solvers. To accelerate the numerical convergence towards a steady state solution we have employed a non-linear multigrid method. Further, we have also implemented a dynamically adaptive multigrid algorithm in conjunction with the explicit solver. Computations have been conducted for low Reynolds number compressible flows around an aerofoil bothat subsonic and supersonic flow conditions. Results from several numerical experiments are presented in order to examine the performance of the multigrid algorithms in conjunction with the explicit and implicit solvers.",
keywords = "Adaptivity, Compressible flows, Navier-Stokes equations, Nonlinear multigrid",
author = "Dimitris Drikakis and Oleg Iliev and Daniela Vassileva",
note = "Publisher Copyright: {\textcopyright} Springer-Verlag Berlin Heidelberg 2001. Copyright: Copyright 2020 Elsevier B.V., All rights reserved.; 3rd International Conference on Large-Scale Scientific Computing, LSSC 2001 ; Conference date: 06-06-2001 Through 10-06-2001",
year = "2001",
doi = "10.1007/3-540-45346-6_36",
language = "English",
isbn = "3540430431",
series = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",
publisher = "Springer Verlag",
pages = "344--352",
editor = "Svetozar Margenov and Jerzy Wasniewski and Plamen Yalamov",
booktitle = "Large-Scale Scientific Computing - 3rd International Conference, LSSC 2001, Revised Papers",
}