is the rate of strain tensor, and \(\Delta \) is the grid filter length. Results of applying the LES quality measures given by Eqs. (6–8) are shown in Supplementary Fig. 1 where it is shown that in more than 90% of the grid cells \...
The filtered Navier-Stokes equations are:(4a)∂u¯i∂xi=0(4b)∂u¯i∂t+∂∂xju¯iu¯j=−1ρ∂p¯∂xi+∂∂xj2vs¯ij−∂τij∂xjwhere the overbars indicate the filtered variables, and s‾ij is the rate of strain tensor. The subgrid-scale Reynolds ...
(1993) calculated the eigenvalues, eigenvectors of the rate-of-strain tensor, and vorticity alignments from computed velocity fields, and proposed the reason that the secondary vortex ring is fundamentally more unstable than the primary one is due to the fact that the secondary vortex ring is ...
calculations, one of which has a DNS-like resolution. We show that WMLES accurately predicts the mean pressure coefficient distribution, velocity statistics (including the mean velocity), and the traces of Reynolds tensor components. Furthermore, we observe that the instantaneous flow structures compute...
Here, 𝜌ρ is the fluid density, 𝑈𝑖Ui is the mean flow velocity component, S is the rate of the strain tensor, 𝑃𝑘̃Pk˜ are terms associated with turbulence production, and 𝛽∗β*, 𝛼α, 𝛽β, 𝜎𝑘σk, 𝜎𝜔σω, and 𝜎𝜔2σω2 are model constants...
The invariants of the velocity gradient (RandQ), rate-of-strain (RSandQS), and rate-of-rotation(QW)tensors are analyzed across the turbulent/nonturbulent (T/NT) interface by using a direct numerical simulation (DNS) of a turbulent plane jet atReλ≈120. The invariants allow a detailed ch...
Components of the strain tensor calculated from the recovered displacements: (a) axial strain, (b) lateral strain, (c) axial-shear strain, (d) lateral-shear strain, and (e) shear strain.Zhenghui HuHeye ZhangJinwe...
S Stiros,V Kontogianni - 《International Journal of Rock Mechanics & Mining Sciences》 被引量: 32发表: 2009年 Statistical analysis of the eigenspace components of the two-dimensional, symmetric rank-two strain rate tensor derived from the space geodetic measurement... SUMMARYIn the deformation ana...
In the undeformed body we establish a coordinate system x i and permanently affix the values of its coordinates to each material point (particle). This means that such points will also be known by the same values x i even after deformation, although moved to a different place. In other ...
Vorticity is twice the angular velocity of the instantaneous principal axes of the strain-rate tensor of a fluid element35. This implies that the liquid is undergoing intense swirling, since angular velocities may range from Ω ~ 80000–170000 rad/s. The induced liquid depressurization (defined...