Space-time adaptive ADER-DG finite element method with LST-DG predictor and a posteriori sub-cell WENO finite-volume limiting for simulation of non-stationary compressible multicomponent reactive flows
<|reference_start|>Space-time adaptive ADER-DG finite element method with LST-DG predictor and a posteriori sub-cell WENO finite-volume limiting for simulation of non-stationary compressible multicomponent reactive flows: The space-time adaptive ADER finite element DG method with a posteriori correction technique of solutions on subcells by the finite-volume ADER-WENO limiter was used to simulate non-stationary compressible multicomponent reactive flows. The multicomponent composition of the reacting medium and the reactions occurring in it were described by expanding the original system of Euler equations by a system of non-stationary convection-reaction equations. The use of this method to simulate high stiff problems associated with reactions occurring in a multicomponent medium requires the use of the adaptive change in the time step. The solution of the classical problem related to the formation and propagation of a ZND detonation wave is carried out. It was shown that the space-time adaptive ADER finite element DG method with a posteriori correction technique of solutions on subcells by the finite-volume ADER-WENO limiter can be used to simulate flows without using of splitting in directions and fractional step methods.<|reference_end|>
@article{popov2024space-time,
    title={Space-time adaptive ADER-DG finite element method with LST-DG predictor
  and a posteriori sub-cell WENO finite-volume limiting for simulation of
  non-stationary compressible multicomponent reactive flows},
    author={I.S Popov},
    journal={J. Sci. Comput. 95, 44 (2023)},
    year={2024},
    doi={10.1007/s10915-023-02164-y},
    archivePrefix={arXiv},
    eprint={2409.09932},
    primaryClass={physics.flu-dyn cs.NA math.AP math.NA physics.app-ph physics.comp-ph}
}