Abstract:We investigate the evolution of vortex-surface fields (VSFs) in compressible Taylor-Green flows at Mach numbers (M a) ranging from 0.5 to 2.0 using direct numerical simulation. The formulation of VSFs in incompressible flows is extended to compressible flows, and a mass-based renormalization of VSFs is used to facilitate characterizing the evolution of a particular vortex surface. The effects of the Mach number on the VSF evolution are different in three stages. In the early stage, the jumps of the compressive… Show more
“…The two-time method (Yang & Pullin 2011; Peng & Yang 2018) is used to calculate the VSF evolution. The temporal evolution at each time step is divided into prediction and correction substeps.…”
“…The two-time method (Yang & Pullin 2011; Peng & Yang 2018) is used to calculate the VSF evolution. The temporal evolution at each time step is divided into prediction and correction substeps.…”
“…Throughout this work the coordinates ( = 0, 1, 2) are referred to as ( , , ), with corresponding velocity components ( , , [12] as ( ) = 1.4042 1.5 + 0.40417 .…”
Section: A Governing Equationsmentioning
confidence: 99%
“…The compressible TGV problem at higher Mach numbers is a challenging test case for numerical schemes, but has not been widely explored in the literature. One notable exception is the work of [12], which investigated the evolution of vortex-surface fields in a compressible TGV. This study was performed at a low Reynolds number of = 400.…”
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