Title: Modelling binary alloy solidification with adaptive mesh refinement

Journal Article · · Journal of Computational Physics: X

Not Available

Research Organization:
Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)
Sponsoring Organization:
USDOE; USDOE Office of Science (SC)
Grant/Contract Number:
AC02-05CH11231
OSTI ID:
1577402
Journal Information:
Journal of Computational Physics: X, Journal Name: Journal of Computational Physics: X Journal Issue: C Vol. 5; ISSN 2590-0552
Publisher:
ElsevierCopyright Statement
Country of Publication:
United States
Language:
English

References (47)

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Modeling Melt Convection in Phase-Field Simulations of Solidification journal September 1999
A Cell-Centered Adaptive Projection Method for the Incompressible Euler Equations journal September 2000
The origin of freckles in unidirectionally solidified castings journal August 1970
Modeling Freckle Segregation with Mesh Adaptation journal September 2011
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Adaptive mesh refinement for hyperbolic partial differential equations journal March 1984
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Multidimensional upwind methods for hyperbolic conservation laws journal March 1990
An adaptive finite element scheme for transient problems in CFD journal April 1987
Natural convective heat transfer in a fluid saturated variable porosity medium journal October 1997
2-Dimensional FEM modeling of macrosegregation in the directional solidification with mesh adaptation journal June 2009
Convective flow and heat transfer in a tall porous cavity side-cooled with temperature profile journal December 2009
Solidification of a binary alloy: Finite-element, single-domain simulation and new benchmark solutions journal July 2006
Adaptive mesh refinement for coupled elliptic-hyperbolic systems journal October 2006
A cell-centered adaptive projection method for the incompressible Navier–Stokes equations in three dimensions journal January 2008
Simulation of directional solidification, thermochemical convection, and chimney formation in a Hele-Shaw cell journal December 2008
Conditions for defect-free solidification of aqueous ammonium chloride in a quasi two-dimensional directional solidification facility journal July 2008
Steady-state chimneys in a mushy layer journal March 2002
Steady-state mushy layers: experiments and theory journal January 2007
On weakly nonlinear convection in mushy layers during solidification of alloys journal January 2008
Solidification of an alloy from a cooled boundary journal June 1986
Natural convection in a mushy layer journal March 1991
Instabilities of the liquid and mushy regions during solidification of alloys journal April 1992
Nonlinear analysis of buoyant convection in binary solidification with application to channel formation journal July 1993
Experimental study of convection in a mushy layer during directional solidification journal June 1995
Weakly nonlinear analysis of convection in mushy layers during the solidification of binary alloys journal November 1995
A numerical investigation of steady convection in mushy layers during the directional solidification of binary alloys journal February 1998
Measurements of the temperature field of mushy and liquid regions during solidification of aqueous ammonium chloride journal March 1998
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Nonlinear mushy-layer convection with chimneys: stability and optimal solute fluxes journal January 2013
Visualizing brine channel development and convective processes during artificial sea-ice growth using Schlieren optical methods journal February 2016
Growth of and brine drainage from NaCl-H 2 O freezing: A simulation of young sea ice journal January 2004
Compositional convection in a reactive crystalline mush and melt differentiation journal January 1992
Chimneys on the Earth's inner-outer core boundary? journal March 1994
the phase evolution of Young Sea Ice journal May 1997
Stability of a Planar Interface During Solidification of a Dilute Binary Alloy journal February 1964
Modelling of macrosegregation during solidification processes using an adaptive domain decomposition method journal June 2003
The convergence rate for difference approximations to mixed initial boundary value problems journal May 1975
The Formation of Freckles in Binary Alloys journal January 1985
A Thermodynamically Consistent Model of a Mushy zone journal January 1983
Efficient Computation of Dendritic Microstructures Using Adaptive Mesh Refinement journal April 1998
Seaweed to Dendrite Transition in Directional Solidification journal October 2003
Convection in Mushy Layers journal January 1997

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