On Error-Based Step Size Control for Discontinuous Galerkin Methods for Compressible Fluid Dynamics
- Publication type:
- Journal article
- Metadata:
-
- Autoren
- Hendrik Ranocha
- Andrew R Winters
- Hugo Guillermo Castro
- Lisandro Dalcin
- Michael Schlottke-Lakemper
- Gregor J Gassner
- Matteo Parsani
- Autoren-URL
- https://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=fis-test-1&SrcAuth=WosAPI&KeyUT=WOS:000992387000001&DestLinkType=FullRecord&DestApp=WOS_CPL
- DOI
- 10.1007/s42967-023-00264-y
- eISSN
- 2661-8893
- Externe Identifier
- Clarivate Analytics Document Solution ID: G9PK3
- ISSN
- 2096-6385
- Zeitschrift
- COMMUNICATIONS ON APPLIED MATHEMATICS AND COMPUTATION
- Schlüsselwörter
- Explicit Runge-Kutta (RK) methods
- Step size control
- Compressible fluid dynamics
- Adaptivity in space and time
- Shock capturing
- Datum der Veröffentlichung
- 2023
- Status
- Published
- Titel
- On Error-Based Step Size Control for Discontinuous Galerkin Methods for Compressible Fluid Dynamics
- Sub types
- Article
- Early Access
Data source: Web of Science (Lite)
- Other metadata sources:
-
- Abstract
- <jats:title>Abstract</jats:title><jats:p>We study a temporal step size control of explicit Runge-Kutta (RK) methods for compressible computational fluid dynamics (CFD), including the Navier-Stokes equations and hyperbolic systems of conservation laws such as the Euler equations. We demonstrate that error-based approaches are convenient in a wide range of applications and compare them to more classical step size control based on a Courant-Friedrichs-Lewy (CFL) number. Our numerical examples show that the error-based step size control is easy to use, robust, and efficient, e.g., for (initial) transient periods, complex geometries, nonlinear shock capturing approaches, and schemes that use nonlinear entropy projections. We demonstrate these properties for problems ranging from well-understood academic test cases to industrially relevant large-scale computations with two disjoint code bases, the open source Julia packages Trixi.jl with OrdinaryDiffEq.jl and the C/Fortran code SSDC based on PETSc.</jats:p>
- Autoren
- Hendrik Ranocha
- Andrew R Winters
- Hugo Guillermo Castro
- Lisandro Dalcin
- Michael Schlottke-Lakemper
- Gregor J Gassner
- Matteo Parsani
- DOI
- 10.1007/s42967-023-00264-y
- eISSN
- 2661-8893
- ISSN
- 2096-6385
- Zeitschrift
- Communications on Applied Mathematics and Computation
- Sprache
- en
- Online publication date
- 2023
- Status
- Published online
- Herausgeber
- Springer Science and Business Media LLC
- Herausgeber URL
- http://dx.doi.org/10.1007/s42967-023-00264-y
- Datum der Datenerfassung
- 2023
- Titel
- On Error-Based Step Size Control for Discontinuous Galerkin Methods for Compressible Fluid Dynamics
Data source: Crossref
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