A self-adaptive strategy for the time integration of navier-stokes equations
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An efficient self-adaptive strategy for the explicit time integration of Navier-Stokes equations is presented. Unlike the conventional explicit integration schemes, it is not based on a standard CFL condition. Instead, the eigenvalues of the dynamical system are analytically bounded and the linear stability domain of the time-integration scheme is adapted in order to maximize the time step. The method works independently of the underlying spatial mesh; therefore, it can be easily integrated into structured or unstructured codes. The additional computational cost is minimal, and a significant increase of the time step is achieved without losing accuracy. The effectiveness and robustness of the method are demonstrated on both a Cartesian staggered and an unstructured collocated formulation. In practice, CPU cost reductions up to more than 4 with respect to the conventional approach have been measured.
CitacióTrias, F.; Lehmkuhl, O. A self-adaptive strategy for the time integration of Navier-Stokes equations. "Numerical heat transfer. Part B, fundamentals", Agost 2011, vol. 60, núm. 2, p. 116-134.