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Vortex flow in nature and technology

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The article was published on 1983-01-01 and is currently open access. It has received 398 citations till now. The article focuses on the topics: Vortex & Burgers vortex.

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An Immersed Boundary Method with Formal Second-Order Accuracy and Reduced Numerical Viscosity

TL;DR: In this article, a second-order accurate immersed boundary method is presented and tested and applied to simulate the flow past a circular cylinder and study the effect of numerical viscosity on the accuracy of the computation.
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On the theory of semi‐implicit projection methods for viscous incompressible flow and its implementation via a finite element method that also introduces a nearly consistent mass matrix. Part 1: Theory

TL;DR: In this article, the authors re-introduce the consistent mass matrix into some semi-implicit projection methods in such a way that the cost advantage of lumped mass and the accuracy advantage of consistent mass are simultaneously realized.
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Vortex identification: New requirements and limitations

TL;DR: A survey of vortex-identification methods can be found in this paper, where the most widely used local criteria (applied point by point) sharing a basis in the velocity-gradient tensor ∇u are treated more thoroughly to recall their underlying ideas and physical aspects.
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Numerical simulations of the Rayleigh-Taylor instability

TL;DR: In this paper, Lagrangian-Eulerian vortex methods are applied to simulate the motion of an interface between inviscid fluids of different densities, and the simulation results show that the interface as a vortex sheet eliminates numerical diffusion, and by coupling the tracked interface with z stationary grid (using the well-known vortex-inceil method) the high cost associated with traditional vortex m&hods is reduced.
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Rortex A New Vortex Vector Definition and Vorticity Tensor and Vector Decompositions

TL;DR: In this article, the existence of the rotational axis is proved through real Schur decomposition, and a fast algorithm for calculating Rortex is also presented based on the real-Schur-decomposition.