Evaluation of Localization Strategies with Method of Approximate Particular Solutions Without Mesh

Chaverra, Nelson; Martínez, María Liliana; Ríos, José; Granados, Julian

doi:10.18180/tecciencia.2019.27.10

Cited by 2 publications

(1 citation statement)

References 24 publications

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“…As a future work, it would be interesting to model the inner fluid flow of the wind tunnel by using numeric-analytic techniques such as collocation methods [64] used for micro channels or mesh-less methods as the one described in [65].…”

Section: Discussionmentioning

confidence: 99%

Characterization, Design Testing and Numerical Modeling of a Subsonic-Low Speed Wind Tunnel

Lara

Salazar

2022

Ing.

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Context: Wind tunnels are essential devices in the study of flow properties through objects and scaled prototypes. This work presents a numerical study to characterize an existing wind tunnel, proposing modifications with the aim to improve the quality of the flow in the test chamber. Method: Experimental measurements of the inlet velocity and pressure distribution of a wind tunnel are nperformed. These empirical values are used as parameters to define boundary conditions in simulations. The Finite Element Method (FEM) at low speeds is implemented to determine the stream function by using a standard Galerkin method. Polynomial interpolations are employed to modify the contraction section design, and numerical simulations are performed in order to compare the numerical results of the flow for the existing and the modified wind tunnels. Results: Experimental measurements of the flow at the wind tunnel entrance are presented. The velocity field and distribution of thermodynamic variables inside the tunnel are numerically determined. This computations are useful since it is experimentally difficult to make measurements inside the channel. Additionally, numerical calculations of these variables are presented under modifications in the tunnel geometry. Conclusions: A comparison between these simulations show that laminar flow at low velocities can be modeled as incompressible and irrotational fluid under a bidimensional approximation along its longitudinal section. It is observed that modifications in the geometry of the tunnel can improve the flow in the test section of the wind tunnel in the laminar regime.

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Section: Discussionmentioning

confidence: 99%

Characterization, Design Testing and Numerical Modeling of a Subsonic-Low Speed Wind Tunnel

Lara

Salazar

2022

Ing.

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Electric vector potential formulation in electrostatics: analytical treatment of the gaped surface electrode

2020

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Electric vector potential Θ(r) is a legitimate but rarely used tool to calculate the steady electric field in free-charge regions. Commonly, it is preferred to employ the scalar electric potential Φ(r) rather than Θ(r) in most of the electrostatic problems. However, the electric vector potential formulation can be a viable representation to study certain systems. One of them is the surface electrode SE, a planar finite region A− kept at a fixed electric potential with the rest grounded including a gap of thickness ν between electrodes. In this document we use the Helmholtz Decomposition Theorem and the electric vector potential formulation to provide integral expressions for the surface charge density and the electric field of the SE of arbitrary contour ∂A. We also present an alternative derivation of the result found in [M. Oliveira and J. A. Miranda 2001 Eur. J. Phys. 22 31] for the gapless (ν = 0) surface electrode GSE without invoking any analogy between the GSE and magnetostatics. It is shown that electric vector potential and the electric field of the gapped circular SE at any point can be obtained from an average of the gapless solution on the gap.

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Evaluation of Localization Strategies with Method of Approximate Particular Solutions Without Mesh

Cited by 2 publications

References 24 publications

Characterization, Design Testing and Numerical Modeling of a Subsonic-Low Speed Wind Tunnel

Characterization, Design Testing and Numerical Modeling of a Subsonic-Low Speed Wind Tunnel

Electric vector potential formulation in electrostatics: analytical treatment of the gaped surface electrode

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