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
Sign Up to like & getrecommendations! Published in 2021 at "AIP Advances"
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
Invariants of velocity gradient tensor in three-dimensional relativistic astrophysical jet/spherical dense cloud interaction
Sign Up to like & getrecommendations! Published in 2025 at "Physics of Fluids"
DOI: 10.1063/5.0271785
Abstract: In this Letter, the numerical simulation of three-dimensional hydrodynamic relativistic jet/spherical dense cloud interaction has been performed by solving relativistic hydrodynamic equations in the computer code PLUTO [Mignone et al., “PLUTO: A numerical code for… read more here.
Keywords: velocity gradient; gradient tensor; jet;
The magnetic gradient tensor of a right circular cylinder: theoretical considerations in the determination of magnetisation direction
Sign Up to like & getrecommendations! Published in 2024 at "Exploration Geophysics"
DOI: 10.1080/08123985.2024.2398156
Abstract: This paper investigates the use of the magnetic gradient tensor and its eigenvectors to derive expressions for estimating the direction of magnetisation of a uniformly magnetised right circular vertical cylinder. Expressions for the gradient tensor,… read more here.
Keywords: magnetisation; field; gradient tensor; direction ... 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
Optimized Magnetic Gradient Tensor Array Algorithm for Enhanced Positioning Accuracy of Underwater Weak Magnetic Targets
Sign Up to like & getrecommendations! Published in 2025 at "IEEE Sensors Journal"
DOI: 10.1109/jsen.2024.3518563
Abstract: This research utilized an 8-fluxgate array, based on the magnetic gradient tensor (MGT) method, to perform positioning trials within a controlled aquatic environment. The experiment featured five designated locations and targeted marginal magnetic signals of… read more here.
Keywords: gradient tensor; magnetic gradient; algorithm; positioning accuracy ... See more keywords
Nonsingular Calculation of Global Magnetic Gradient Tensor Based on Oblate Spheroidal Harmonics Representation
Sign Up to like & getrecommendations! Published in 2024 at "IEEE Transactions on Geoscience and Remote Sensing"
DOI: 10.1109/tgrs.2024.3404780
Abstract: A high-resolution global magnetic gradient tensor (MGT) model is an essential tool for aided navigation. However, the high-order expansion using the traditional spherical harmonic (SH) method will lead to nonconvergence in calculating locations near the… read more here.
Keywords: navigation; gradient tensor; magnetic gradient; global magnetic ... 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