Doubly-Adaptive Artificial Compression Methods for Incompressible Flow

07/18/2019

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by   William Layton, et al.

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This report presents adaptive artificial compression methods in which the time-step and artificial compression parameter ε are independently adapted. The resulting algorithms are supported by analysis and numerical tests. The first and second-order methods are embedded. As a result, the computational, cognitive and space complexities of the adaptive ,k algorithms are negligibly greater than that of the simplest, first-order, constant ε , constant k artificial compression method.