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• W3197158049 abstract "Abstract A balanced adaptive time-stepping strategy is implemented in an implicit discontinuous Galerkin solver to guarantee the temporal accuracy of unsteady simulations. A proper relation between the spatial, temporal and iterative errors generated within one time step is constructed. With an estimate of temporal and spatial error using an embedded Runge-Kutta scheme and a higher order spatial discretization, an adaptive time-stepping strategy is proposed based on the idea that the time step should be the maximum without obviously influencing the total error of the discretization. The designed adaptive time-stepping strategy is then tested in various types of problems including isentropic vortex convection, steady-state flow past a flat plate, Taylor-Green vortex and turbulent flow over a circular cylinder at $${Re}=3,900$$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mrow> <mml:mrow> <mml:mi>Re</mml:mi> </mml:mrow> <mml:mo>=</mml:mo> <mml:mn>3</mml:mn> <mml:mspace /> <mml:mn>900</mml:mn> </mml:mrow> </mml:math> . The results indicate that the adaptive time-stepping strategy can maintain that the discretization error is dominated by the spatial error and relatively high efficiency is obtained for unsteady and steady, well-resolved and under-resolved simulations." @default.
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• W3197158049 date "2021-08-26" @default.
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• W3197158049 title "Development of a Balanced Adaptive Time-Stepping Strategy Based on an Implicit JFNK-DG Compressible Flow Solver" @default.
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• W3197158049 doi "https://doi.org/10.1007/s42967-021-00138-1" @default.
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