Gravity Gradient Tensor of Arbitrary 3D Polyhedral Bodies with up to Third-Order Polynomial Horizontal and Vertical Mass Contrasts
Sign Up to like & getrecommendations! Published in 2018 at "Surveys in Geophysics"
DOI: 10.1007/s10712-018-9467-1
Abstract: During the last 20 years, geophysicists have developed great interest in using gravity gradient tensor signals to study bodies of anomalous density in the Earth. Deriving exact solutions of the gravity gradient tensor signals has… read more here.
Keywords: gradient; gravity gradient; exact solutions; gradient tensor ... See more keywords
The assembly of freely moving rigid fibres measures the flow velocity gradient tensor
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Fluid Mechanics"
DOI: 10.1017/jfm.2020.288
Abstract: The motion of an assembly of rigid fibres is investigated for different classes of closed streamline flows, steady or time dependent, two-dimensional or three-dimensional. In our study, the dynamics of the fibre assembly is fully… read more here.
Keywords: assembly freely; rigid fibres; velocity; gradient tensor ... See more keywords
Invariants of velocity gradient tensor in supersonic turbulent pipe, nozzle, and diffuser flows
Sign Up to like & getrecommendations! Published in 2018 at "Physics of Fluids"
DOI: 10.1063/1.5004468
Abstract: Velocity gradient tensor (VGT) analysis of high-order accurate direct numerical simulation data of supersonic pipe, nozzle, and diffuser flows at computationally moderate Reynolds numbers is performed. Joint probability density functions of second and third invariants… read more here.
Keywords: diffuser flows; nozzle diffuser; velocity gradient; pipe nozzle ... See more keywords
An objective version of the Rortex vector for vortex identification
Sign Up to like & getrecommendations! Published in 2019 at "Physics of Fluids"
DOI: 10.1063/1.5095624
Abstract: Vortices are a ubiquitous natural phenomenon, and their structure, shape, and characteristics should be independent of the observer, which implies that the vortex identification method or vortex definition should maintain its objectivity. Currently, most of… read more here.
Keywords: velocity gradient; definition; vortex identification; gradient tensor ... See more keywords
A third-order magnetic gradient tensor optimization algorithm based on the second-order improved central difference method
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DOI: 10.1063/5.0050493
Abstract: An improved method based on the second order improved central difference method is proposed to improve the third-order magnetic gradient tensor, which is affected by noise and characterized by poor stability. The third-order magnetic gradient… read more here.
Keywords: order; magnetic gradient; order magnetic; third order ... See more keywords
Physics-informed machine learning of the Lagrangian dynamics of velocity gradient tensor
Sign Up to like & getrecommendations! Published in 2021 at "Physical Review Fluids"
DOI: 10.1103/physrevfluids.6.094607
Abstract: Reduced models describing the Lagrangian dynamics of the Velocity Gradient Tensor (VGT) in Homogeneous Isotropic Turbulence (HIT) are developed under the Physics-Informed Machine Learning (PIML) framework. We consider VGT at both Kolmogorov scale and coarse-grained… read more here.
Keywords: gradient tensor; lagrangian dynamics; physics informed; physics ... See more keywords
Mathematical properties and physical meaning of the gravity gradient tensor eigenvalues
Sign Up to like & getrecommendations! Published in 2017 at "Geophysics"
DOI: 10.1190/geo2016-0418.1
Abstract: ABSTRACTThe eigenvalues of the gravity gradient tensor can be expressed as functions of two parameters: a magnitude and a phase. The decomposition gives physical meaning to the eigenvalues: The magnitude measures the amount of curvature,… read more here.
Keywords: gravity; gravity gradient; physical meaning; gradient tensor ... See more keywords