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A Review of Vortex Methods and Their Applications: From Creation to Recent Advances

Mimeau, Chloé ; Mortazavi, Iraj

Fluids (Basel), 2021-02, Vol.6 (2), p.68 [Periódico revisado por pares]

Basel: MDPI AG

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Título:
A Review of Vortex Methods and Their Applications: From Creation to Recent Advances
Autor: Mimeau, Chloé ; Mortazavi, Iraj
Assuntos: Algorithms ; Approximation ; Boundary conditions ; Computational fluid dynamics ; Computer simulation ; Flow simulation ; Flow stability ; Flow velocity ; Fluid dynamics ; Fluid flow ; Fluid mechanics ; Hydrodynamics ; Incompressible flow ; incompressible flows ; Mathematical analysis ; Mathematical Physics ; Mathematics ; Mechanics ; Navier-Stokes equations ; Numerical dissipation ; Ordinary differential equations ; particle methods ; Particle methods (mathematics) ; Physics ; remeshing ; Robustness (mathematics) ; semi-Lagrangian vortex methods ; Simulation ; vortex methods ; Vortices ; Vorticity
É parte de: Fluids (Basel), 2021-02, Vol.6 (2), p.68
Descrição: This review paper presents an overview of Vortex Methods for flow simulation and their different sub-approaches, from their creation to the present. Particle methods distinguish themselves by their intuitive and natural description of the fluid flow as well as their low numerical dissipation and their stability. Vortex methods belong to Lagrangian approaches and allow us to solve the incompressible Navier-Stokes equations in their velocity-vorticity formulation. In the last three decades, the wide range of research works performed on these methods allowed us to highlight their robustness and accuracy while providing efficient computational algorithms and a solid mathematical framework. On the other hand, many efforts have been devoted to overcoming their main intrinsic difficulties, mostly relying on the treatment of the boundary conditions and the distortion of particle distribution. The present review aims to describe the Vortex methods by following their chronological evolution and provides for each step of their development the mathematical framework, the strengths and limits as well as references to applications and numerical simulations. The paper ends with a presentation of some challenging and very recent works based on Vortex methods and successfully applied to problems such as hydrodynamics, turbulent wake dynamics, sediment or porous flows.
Editor: Basel: MDPI AG
Idioma: Inglês

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A Review of Vortex Methods and Their Applications: From Creation to Recent Advances

Mimeau, Chloé ; Mortazavi, Iraj

Basel: MDPI AG

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