Adaptive artificial compression methods independently adapt time-step and ε, embed first- and second-order methods, and have computational complexity similar to the basic constant-parameter version.
Kobel’kov, Symmetric approximations of the Navier-Stokes equations , Sbornik: Mathe- matics
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Doubly-Adaptive Artificial Compression Methods for Incompressible Flow
Adaptive artificial compression methods independently adapt time-step and ε, embed first- and second-order methods, and have computational complexity similar to the basic constant-parameter version.