@inproceedings{dc6f1d5963af4b66bd8c448aa0c028d3,
title = "Efficient fully discrete summation-by-parts schemes for unsteady flow problems: An initial investigation",
abstract = "We make an initial investigation into the temporal efficiency of a fully discrete summation-by-parts approach for stiff unsteady flows with boundary layers. As amodel problem for the Navier–Stokes equationswe consider a two-dimensional advection-diffusion problem with a boundary layer. The problem is discretized in space using finite difference approximations on summation-by-parts form together with weak boundary conditions, leading to optimal stability estimates. For the time integration part we consider various forms of high order summation-by-parts operators, and compare the results to an existing popular fourth order diagonally implicit Runge-Kutta method. To solve the resulting fully discrete equation system, we employ a multi-grid scheme with dual time stepping.",
author = "Tomas Lundquist and Jan Nordstr{\"o}m",
note = "Publisher Copyright: {\textcopyright} Springer International Publishing Switzerland 2015.; 10th International Conference on Spectral and High-Order Methods, ICOSAHOM 2014 ; Conference date: 23-06-2014 Through 27-06-2014",
year = "2015",
doi = "10.1007/978-3-319-19800-2_31",
language = "English",
isbn = "9783319197999",
series = "Lecture Notes in Computational Science and Engineering",
publisher = "Springer Verlag",
pages = "345--353",
editor = "Kirby, {Robert M.} and Martin Berzins and Hesthaven, {Jan S.}",
booktitle = "Spectral and High Order Methods for Partial Differential Equations, ICOSAHOM 2014, Selected papers from the ICOSAHOM",
address = "Germany",
}