Year: 2024
Type: article
Abstract: ABSTRACT The Taylor–Green vortex represents an exact solution of the Navier–Stokes equations in . In this work, an approximation of this solution in two spatial dimensions is proposed for weakly compressible flows. These flows are characterized by small compressibility (or, equivalently, by a small Mach number) and are often employed in computational fluid dynamics to approximate the behaviour of incompressible Newtonian fluids. In this framework, the proposed solution is expected to be a useful benchmark for numerical solvers that implement the weakly compressibility approximation. To this end, some numerical examples are reported in the final section of this work.
Source: Studies in Applied Mathematics
DOI: 10.1111/sapm.12792
Authors: Matteo Antuono, Salvatore Marrone
Institutions: Institute of Marine Engineering, National Research Council
Language: English
Subfield: Computational Mechanics
Field: Engineering
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $4,330
Funder: European Commission
OpenAlex ID: W4404422565