Vol. 13, No. 2, 2018

Download this article
Download this article For screen
For printing
Recent Issues
Volume 15, Issue 1
Volume 14, Issue 2
Volume 14, Issue 1
Volume 13, Issue 2
Volume 13, Issue 1
Volume 12, Issue 1
Volume 11, Issue 2
Volume 11, Issue 1
Volume 10, Issue 2
Volume 10, Issue 1
Volume 9, Issue 2
Volume 9, Issue 1
Volume 8, Issue 1
Volume 7, Issue 2
Volume 7, Issue 1
Volume 6, Issue 1
Volume 5, Issue 2
Volume 5, Issue 1
Volume 4, Issue 1
Volume 3, Issue 1
Volume 2, Issue 1
Volume 1, Issue 1
The Journal
About the Journal
Editorial Board
Subscriptions
Submission Guidelines
Submission Form
Editorial Login
Ethics Statement
ISSN: 2157-5452 (e-only)
ISSN: 1559-3940 (print)
Author Index
To Appear
 
Other MSP Journals
This article is available for purchase or by subscription. See below.
Efficient high-order discontinuous Galerkin computations of low Mach number flows

Jonas Zeifang, Klaus Kaiser, Andrea Beck, Jochen Schütz and Claus-Dieter Munz

Vol. 13 (2018), No. 2, 243–270
Abstract

We consider the efficient approximation of low Mach number flows by a high-order scheme, coupling a discontinuous Galerkin (DG) discretization in space with an implicit/explicit (IMEX) discretization in time. The splitting into linear implicit and nonlinear explicit parts relies heavily on the incompressible solution. The method has been originally developed for a singularly perturbed ODE and applied to the isentropic Euler equations. Here, we improve, extend, and investigate the so-called RS-IMEX splitting method. The resulting scheme can cope with a broader range of Mach numbers without running into roundoff errors, it is extended to realistic physical boundary conditions, and it is shown to be highly efficient in comparison to more standard solution techniques.

PDF Access Denied

However, your active subscription may be available on Project Euclid at
https://projecteuclid.org/camcos

We have not been able to recognize your IP address 18.208.202.194 as that of a subscriber to this journal.
Online access to the content of recent issues is by subscription, or purchase of single articles.

Please contact your institution's librarian suggesting a subscription, for example by using our journal-recom­mendation form. Or, visit our subscription page for instructions on purchasing a subscription.

You may also contact us at contact@msp.org
or by using our contact form.

Or, you may purchase this single article for USD 40.00:

Keywords
discontinuous Galerkin, IMEX-Runge–Kutta, low Mach number, splitting, asymptotic preserving
Mathematical Subject Classification 2010
Primary: 35L65, 65N30
Milestones
Received: 24 May 2017
Revised: 28 March 2018
Accepted: 17 April 2018
Published: 25 September 2018
Authors
Jonas Zeifang
Institut für Aerodynamik und Gasdynamik
Universität Stuttgart
Stuttgart
Germany
Klaus Kaiser
Institut für Geometrie und Praktische Mathematik
Rheinisch-Westfälische Technische Hochschule Aachen
Aachen
Germany
Faculteit Wetenschappen
Universiteit Hasselt
Diepenbeek
Belgium
Andrea Beck
Institut für Aerodynamik und Gasdynamik
Universität Stuttgart
Stuttgart
Germany
Jochen Schütz
Faculteit Wetenschappen
Universiteit Hasselt
Diepenbeek
Belgium
Claus-Dieter Munz
Institut für Aerodynamik und Gasdynamik
Universität Stuttgart
Stuttgart
Germany