An adaptive time-stepping strategy for the implicit solution of steady transonic flow
type: Item
instance of: scholarly article
title: An adaptive time-stepping strategy for the implicit solution of steady transonic flow
zbMATH Open document ID: 1375.76080
DOI: 10.1504/PCFD.2015.069575
author: Ugur Turk
author: Erhan Turan
author: Mehmet Orhan
author: Ali Ecder
published in: Progress in Computational Fluid Dynamics
publication date: 2017-12-08T00:00:00Z
review text: Summary: This study addresses a novel adaptive time stepping procedure, which leads to selection of larger time steps allowed by the physics of the problem under consideration. Information about the gradients of the flow variables can be regarded as an indicator for determining proper amount of time step, in which the system evolved. In this study, the signals from the pressure sensors, which act according to the pressure gradients, are chosen as a measure to determine the magnitude of the local CFL number. Thus, the aimed methodology for the selection of the local time step with the use of `pressure sensor' introduces optimal time steps to the implicit solution method by accounting for the pressure gradient in the solution domain, such that sharp pressure gradients encourages small time steps and vice versa. To illustrate the effect of proposed procedure, Newton Krylov (NK), with implicit pseudo time stepping method, has been employed to solve the compressible Euler equations for steady transonic case by turning on the pressure switch. Numerical experiments show that the introduced adaptive time stepping procedure decreases the computation time and the number of iterations, effectively.
Mathematics Subject Classification ID: 76H05
Mathematics Subject Classification ID: 76M12
zbMATH DE Number: 6816375
zbMATH Keywords: convergence acceleration
zbMATH Keywords: implicit methods
zbMATH Keywords: Newton Krylov methods
zbMATH Keywords: preconditioning
zbMATH Keywords: ILU
zbMATH Keywords: pressure sensor
zbMATH Keywords: pseudo time stepping
zbMATH Keywords: CFL selection methodologies
zbMATH Keywords: Euler equations
MaRDI profile type: Publication
full work available at URL: pcfd.2015.069575
OpenAlex ID: W1815779267
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description: scientific article; zbMATH DE number 6816375