English

Doubly-Adaptive Artificial Compression Methods for Incompressible Flow

Numerical Analysis 2019-07-22 v1 Numerical Analysis

Abstract

This report presents adaptive artificial compression methods in which the time-step and artificial compression parameter ε\varepsilon 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 % \varepsilon ,k algorithms are negligibly greater than that of the simplest, first-order, constant ε,\varepsilon , constant kk artificial compression method.

Keywords

Cite

@article{arxiv.1907.08235,
  title  = {Doubly-Adaptive Artificial Compression Methods for Incompressible Flow},
  author = {William Layton and Michael McLaughlin},
  journal= {arXiv preprint arXiv:1907.08235},
  year   = {2019}
}
R2 v1 2026-06-23T10:24:42.519Z