step size control
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Author(s):  
Alfredo Bonini Neto ◽  
Luis Roberto Almeida Gabriel Filho ◽  
Dilson Amancio Alves

Author(s):  
Hendrik Ranocha ◽  
Lisandro Dalcin ◽  
Matteo Parsani ◽  
David I. Ketcheson

AbstractWe develop error-control based time integration algorithms for compressible fluid dynamics (CFD) applications and show that they are efficient and robust in both the accuracy-limited and stability-limited regime. Focusing on discontinuous spectral element semidiscretizations, we design new controllers for existing methods and for some new embedded Runge-Kutta pairs. We demonstrate the importance of choosing adequate controller parameters and provide a means to obtain these in practice. We compare a wide range of error-control-based methods, along with the common approach in which step size control is based on the Courant-Friedrichs-Lewy (CFL) number. The optimized methods give improved performance and naturally adopt a step size close to the maximum stable CFL number at loose tolerances, while additionally providing control of the temporal error at tighter tolerances. The numerical examples include challenging industrial CFD applications.


2021 ◽  
Author(s):  
H E Ibarra-Villalon ◽  
Olivier Pottiez ◽  
Armando Gómez-Vieyra ◽  
Jesús Pablo Lauterio-Cruz ◽  
Yazmin Esmeralda Bracamontes- Rodriguez

2020 ◽  
Vol 46 (4) ◽  
pp. 1-24
Author(s):  
Severiano González Pinto ◽  
Domingo Hernández Abreu ◽  
Juan Ignacio Montijano

Author(s):  
Tobias Meyer ◽  
Jan Kraft ◽  
Bernhard Schweizer

Abstract Efficiency and accuracy of a co-simulation may considerable be increased by using a variable communication time grid. Therefore, an error estimator for controlling the macro-step size is required. Here, error estimators are derived and investigated for explicit and implicit co-simulation approaches. The manuscript focuses on mechanical co-simulation models. The basic results may, however, also be applied to arbitrary, non-mechanical co-simulation models.


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