Front Tracking Method on a Fixed Grid versus Enthalpy Approach in Modelling of Binary Alloy Solidification

2002 ◽  
Author(s):  
David J. Browne ◽  
Jerzy Banaszek ◽  
John D. Hunt
Keyword(s):  
Convective Heat Transfer Coefficient ◽  
Front Tracking ◽  
Columnar Dendrite ◽  
Front Tracking Method ◽  
Cu Alloys ◽  
Grain Structures ◽  
Tracking Model ◽  
Equiaxed Grain ◽  
Kinetics Of ◽  
Porous Medium Model

A novel front tracking technique on a fixed Cartesian grid, based on the kinetics of dendritic growth, is discussed. It is used to predict the influence of both alloy composition and convective heat transfer coefficient on the size of the undercooled liquid zone in front of columnar dendrite tips during solidification of Al-Cu alloys driven by conduction in a square mould. The model is compared with the enthalpy approach showing its superiority in the detection of the undercooled zone and, thus, in potentially modelling of columnar/equiaxed grain structures. The effect of natural thermal convection on the shape of the mushy zone is demonstrated by use of the enthalpy-porous medium model, and an approach to incorporating convection into the non-equilibrium front-tracking model is outlined.

Diffusion and Electromigration of Cu in Single Crystal Al Interconnects

1998 ◽  
Vol 516 ◽  
Author(s):  
V. T. Srikar ◽  
C. V. Thompson
Keyword(s):  
Grain Boundary ◽  
Single Crystal ◽  
Concentration Profile ◽  
Electron Probe Microanalysis ◽  
Electron Probe ◽  
Effect Of Temperature ◽  
Cu Alloys ◽  
Grain Structures ◽  
Kinetics Of ◽  
Grain Boundary Transport

AbstractThe electromigration-induced transport properties of Cu in Al-Cu alloys, and their effect on electromigration lifetimes in interconnects with bamboo grain structures are not well understood. To isolate and study the mechanisms and kinetics of Cu diffusion and electromigration in interconnects for which grain boundary transport is not dominant, we have developed a test structure consisting of parallel Al single crystal lines, with every alternate line terminating in contact pads. Cu is locally added to the same regions in all the lines, and the effect of temperature and electric field can be simultaneously characterized by analyzing the Cu concentration profile measured using electron-probe microanalysis. Comparison of the calculated values of diffusivities with the diffusivity of Cu through the Al lattice, and through dislocation cores in Al, suggests that the path of diffusion of Cu in Al single crystals is along the Al/AlOx interface.

A fully adaptive front tracking method for the simulation of two phase flows

2014 ◽  
Vol 58 ◽  
pp. 72-82 ◽  
Author(s):  
M.R. Pivello ◽  
M.M. Villar ◽  
R. Serfaty ◽  
A.M. Roma ◽  
A. Silveira-Neto
Keyword(s):  
Front Tracking ◽  
Two Phase Flows ◽  
Two Phase ◽  
Tracking Method ◽  
Front Tracking Method ◽  
Fully Adaptive

Runge-Kutta Discontinuous Galerkin Method with Front Tracking Method for Solving the Compressible Two-Medium Flow on Unstructured Meshes

2016 ◽  
Vol 9 (1) ◽  
pp. 73-91 ◽  
Author(s):  
Haitian Lu ◽  
Jun Zhu ◽  
Chunwu Wang ◽  
Ning Zhao
Keyword(s):  
Galerkin Method ◽  
Discontinuous Galerkin ◽  
Discontinuous Galerkin Method ◽  
Front Tracking ◽  
Unstructured Meshes ◽  
Interfacial Region ◽  
Tracking Method ◽  
Front Tracking Method ◽  
Medium Flow ◽  
Runge Kutta

AbstractIn this paper, we extend using the Runge-Kutta discontinuous Galerkin method together with the front tracking method to simulate the compressible two-medium flow on unstructured meshes. A Riemann problem is constructed in the normal direction in the material interfacial region, with the goal of obtaining a compact, robust and efficient procedure to track the explicit sharp interface precisely. Extensive numerical tests including the gas-gas and gas-liquid flows are provided to show the proposed methodologies possess the capability of enhancing the resolutions nearby the discontinuities inside of the single medium flow and the interfacial vicinities of the two-medium flow in many occasions.

Application of a Front Tracking Method in Gas Metal Arc Welding (GMAW) Simulation

2004 ◽  
Vol 127 (3) ◽  
pp. 590-597 ◽  
Author(s):  
Guo Xu ◽  
William W. Schultz ◽  
Elijah Kannatey-Asibu
Keyword(s):  
Arc Welding ◽  
Gas Metal Arc Welding ◽  
Welding Current ◽  
Front Tracking ◽  
Front Tracking Method ◽  
Surface Method ◽  
Metal Arc Welding ◽  
Initial Drop ◽  
Velocity Pressure ◽  
First Time

A numerical model is developed to simulate the short-circuiting metal transfer process during gas metal arc welding (GMAW). The energy equation and the Marangoni convection are considered for the first time in analyzing the short-circuiting time. A front-tracking free surface method explicity tracks the profile of the liquid bridge. The electromagnetic field, distribution of velocity, pressure, and temperature are calculated using the developed model. Effects of welding current, surface tension temperature coefficient, and initial drop volume on short-circuiting duration time are examined. The results show that both the electromagnetic force and Marangoni shear stress play significant roles in short-circuiting transfer welding.

Sign in / Sign up

Export Citation Format

Share Document