Analysis of Aluminium Hot Extrusion by Finite Volume Method

Bressan, José Divo; Martins, Marcelo Matos; Button, Sérgio Tonini

doi:10.1016/j.matpr.2015.10.007

Cited by 9 publications

(11 citation statements)

References 11 publications

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“…Knowing that, FEM and FDM do not satisfy conservations laws in discrete level because they do not work with control volumes but with mesh points [4]. Then, from the 1990s, a lot of works appeared in literature to numerically simulate metal forming process by FVM and flow formulation [6,7,9,11,12,14,18].…”

Section: Finite Volume Analysis With the Maccormack Methods Applied Tomentioning

confidence: 99%

“…There are many approaches to generate approximation equations by FVM [4,10], and all methods should satisfy Lax's Equivalence Theorem to assure convergence for the numerical method applied to solve PDEs [10,11,14].…”

Section: Finite Volume Analysis With the Maccormack Methods Applied Tomentioning

confidence: 99%

“…Considering the outward surface vector on the control volume given by Figure 1b, (15) represents the predictor step; (16) represents the corrector step and (17) represents the current step [11,10,14]. In this study, the MacCormack scheme is a pseudo-transient process, where ∆t is a virtual time increment to obtain the final converged solution [10].…”

Section: Maccormack Methodsmentioning

confidence: 99%

“…The mathematical modelling in metal flow of forward extrusion can be treated by FVM using flow formulation [1,6,11,14,15,18]. According [15] metal flow is considered similar to fluid viscous flow.…”

Section: Governing Equationsmentioning

confidence: 99%

“…In the metal forming area, it is not different. There are many scientific papers published to evaluate metal forming phenomena by numerical simulation [1,6,7,9,11,12,14,18]. This is because computer has steadily increased the processing power since the 1950's [4,8,15,17].…”

Section: Introductionmentioning

confidence: 99%

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Finite Volume Analysis with the MacCormack Method Applied to Metal Flow in Forward Extrusion

Martins¹,

Bressan²,

Button³

2017

ujme

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Computational numerical simulation has been largely applied in the design and analysis of metal forming processes. Extrusion is one of the main forming processes largely applied in the manufacturing of metallic products or parts. Historically, the Finite Element Method (FEM) has been applied for decades in metal extrusion analysis. However, recently in the academy, there is a trend to use the Finite Volume Method (FVM), because literature suggests that metal flow by extrusion can be analyzed by the flow formulation. Thus, metal flow can be modelled as an incompressible viscous fluid. The MacCormack Method is commonly used to simulate compressible fluid flow by the FVM. However, metal extrusion does not present state equations to calculate the pressure, and therefore, a velocity-pressure coupling method is necessary to obtain consistent velocity and pressure fields. This work proposes a new numerical scheme to obtain information about metal flow in the extrusion process along the steady state. The governing equations were discretized by FVM, using the Explicit MacCormack Method to structured and collocated mesh. The SIMPLE Method was applied to attain pressure-velocity coupling. This new numerical scheme was applied to analyze forward extrusion of lead. The metal extrusion velocity fields were calculated with a fast convergence and presented a good agreement with analytical and experimental results obtained from literature.

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