Boundary Conditions for Finite Element Simulations of Convective Flows With Artificial Boundaries

Heinrich, J. C.; Idelsohn, Sergio; Oñate, Eugenio; Vionnet, Carlos A.

doi:10.1002/(sici)1097-0207(19960330)39:6<1053::aid-nme896>3.0.co;2-n

Cited by 6 publications

(3 citation statements)

References 12 publications

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“…This eliminates the false flux on the boundary. The details about the effect of the boundary integral on the numerical approximation are fully explained in Heinrich et al [41]. Figure 5(a) shows the average solute concentration in the vertical direction after 18 000 s. The expected inverse segregation at the chilled surface can be seen at the left end, and the concentration in the interior of the casting is slightly higher than C 0 , as expected [42].…”

Section: Numerical Results and Discussionmentioning

confidence: 54%

The effect of volume change during directional solidification of binary alloys

Heinrich

Poirier

2004

Modelling Simul. Mater. Sci. Eng.

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The effect of solidification contraction is examined through numerical simulations of hypoeutectic Pb–Sn alloys. In addition, particular attention is given to numerically approximating the solidification of the eutectic liquid. In order to predict the inverse segregation at the cooled surface accurately, the contribution of the boundary integral is retained in the weak formulation of the solute conservation equation. This procedure eliminates the false flux, which incorrectly causes a negative segregation at the cooled surface. In the case of vertical solidification under gravity, when channels form, the shrinkage turns the flow inside the channel downwards and towards the solidifying eutectic. Without including shrinkage, the flow in an entire channel is upwards.

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Section: Numerical Results and Discussionmentioning

confidence: 54%

The effect of volume change during directional solidification of binary alloys

Heinrich

Poirier

2004

Modelling Simul. Mater. Sci. Eng.

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“…In the presence of strong vortical structures the homogeneous natural (do-nothing) boundary conditions can result in a global pressure response that is physically unrealistic. Heinrich, et al 38 present a summary of this problem and suggest several remedies.…”

Section: Outflow Boundary Conditionsmentioning

confidence: 99%

GILA User's Manual

Christon

2003

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GILA is a finite element code that has been developed specifically to attack the class of transient, incompressible, viscous, fluid dynamics problems that are predominant in the world that surrounds us. The purpose for this document is to provide sufficient information for an experienced analyst to use GILA in an effective way. The GILA User's Manual presents a technical outline of the governing equations for time-dependent incompressible flow, and the explicit and semi-implicit projection methods used in GILA to solve the equations. This manual also presents a brief overview of some of GILA's capabilities along with the keyword input syntax and sample problems.

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“…Researchers around the world have raised the issue of the applicability boundaries of the mathematical modeling scheme. One of the first who studied this issue were the authors of the article [4], which was published back in 1996. The mentioned paper argued that it is necessary to reduce the physical domain, thus introducing one or more artificial boundaries in the numerical simulation of displacement processes.…”

Section: Introductionmentioning

confidence: 99%

Determination of Boundaries Parameters of the Computational Model for Assessing the Impact on the Surrounding Facilities From Tunneling

Ter-Martirosyan,

Cherkesov,

Isaev

et al. 2023

IJCCSE

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As a result of active development of Moscow underground space, as well as due to the increased density of urban development, it is necessary to forecast additional displacements of surrounding buildings from new construction in order to prevent emergency situations. For this reason, one of the important directions is mathematical modeling of the additional displacements of the surrounding building after erection. Establishing the parameters of design boundaries of a geotechnical model is one of the factors that greatly influence the results of the simulation. This study deals with the assignment of the lower boundary of the scheme when estimating the impact from tunneling works in a two-dimensional formulation. A review of international experience in simulating the design scheme depth for various geotechnical problems and its comparison with Russian experience in modeling schemes has been made. The deformation marks located on the ground surface in the zone of influence of the Rublevo-Arkhangelskaya and Troitskaya (Kommunarskaya) lines of the Moscow Metro under construction were selected for the analysis. The authors carried out the selection of the lower boundary of the scheme by changing it in proportion to the outer diameter of the tunnels in dispersed and rocky soils. The obtained data were compared with geodetic monitoring one. Calculations were made for three different soil models such as Mohr-Coulomb, Mohr-Coulomb with increasing deformation modulus of the prism under the excavation and Hardening soil. In addition, calculations were made for two cases of assignment of the overburden coefficient - according to normative documentation and available research on the subject. As a result of this work, more than 600 calculated cases were obtained. Based on these cases, recommendations were developed for adjusting the scheme depth for the considered soil models.

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Boundary Conditions for Finite Element Simulations of Convective Flows With Artificial Boundaries

Cited by 6 publications

References 12 publications

The effect of volume change during directional solidification of binary alloys

The effect of volume change during directional solidification of binary alloys

GILA User's Manual

Determination of Boundaries Parameters of the Computational Model for Assessing the Impact on the Surrounding Facilities From Tunneling

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