Optimized Runge-Kutta Methods with Automatic Step Size Control for Compressible Computational Fluid Dynamics
@article{Ranocha2021OptimizedRM, title={Optimized Runge-Kutta Methods with Automatic Step Size Control for Compressible Computational Fluid Dynamics}, author={Hendrik Ranocha and Lisandro Dalcin and Matteo Parsani and David I. Ketcheson}, journal={ArXiv}, year={2021}, volume={abs/2104.06836} }
We 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…
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