Element-free Galerkin method for thermosolutal convection and macrosegregation

被引:1
作者
Sajja, Udaya K.
Felicelli, Sergio D. [1 ]
机构
[1] Mississippi State Univ, Dept Mech Engn, Mississippi State, MS 39762 USA
基金
美国国家科学基金会;
关键词
element-free Galerkin method; projection method; dendritic solidification; thermosolutal convection; freckles; macrosegregation; SMOOTHED PARTICLE HYDRODYNAMICS; ESSENTIAL BOUNDARY-CONDITIONS; FRECKLE FORMATION; NUMERICAL-SIMULATION; PB-SN; SOLIDIFICATION; FLOW; PERMEABILITY; ALLOY; PROPAGATION;
D O I
10.1002/fld.2169
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
In the present work, the element-free Galerkin (EFG) method is applied to a continuum solidification model that calculates thermosolutal convection and macrosegregation during dendritic solidification of multicomponent alloys. Simulations for directional solidification of a binary Pb-Sn alloy and a Ni-base quaternary alloy have been performed in a rectangular two-dimensional domain. In both calculations, the alloy melt is cooled from below and the growth of the mushy zone is followed in time. The formation of macrosegregation defects known as 'freckles' has been successfully simulated using the meshless EFG method. A varying degree of sensitivity of results to the number and distribution of meshfree particles was obtained. The potential of the method for a broader range of solidification models is discussed. Copyright (C) 2009 John Wiley & Sons, Ltd.
引用
收藏
页码:733 / 760
页数:28
相关论文
共 59 条
[41]   NUMERICAL APPROACH TO TESTING OF FISSION HYPOTHESIS [J].
LUCY, LB .
ASTRONOMICAL JOURNAL, 1977, 82 (12) :1013-1024
[42]   3-DIMENSIONAL CONSIDERATIONS OF UNIDIRECTIONAL SOLIDIFICATION IN A BINARY-LIQUID [J].
NEILSON, DG ;
INCROPERA, FP .
NUMERICAL HEAT TRANSFER PART A-APPLICATIONS, 1993, 23 (01) :1-20
[43]   PERMEABILITY FOR FLOW OF INTERDENDRITIC LIQUID IN COLUMNAR-DENDRITIC ALLOYS [J].
POIRIER, DR .
METALLURGICAL TRANSACTIONS B-PROCESS METALLURGY, 1987, 18 (01) :245-255
[44]   NUMERICAL-SIMULATION OF A SOLIDIFYING PB-SN ALLOY - THE EFFECTS OF COOLING RATE ON THERMOSOLUTAL CONVECTION AND MACROSEGREGATION [J].
PRESCOTT, PJ ;
INCROPERA, FP .
METALLURGICAL TRANSACTIONS B-PROCESS METALLURGY, 1991, 22 (04) :529-540
[45]   The use of smoothed particle hydrodynamics for simulating crystal growth from solution [J].
Rook, Rusty ;
Dost, Sadik .
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, 2007, 45 (01) :75-93
[46]   CHANNEL FORMATION IN PB-SN, PB-SB, AND PB-SN-SB ALLOY INGOTS AND COMPARISON WITH THE SYSTEM NH4CL-H2O [J].
SARAZIN, JR ;
HELLAWELL, A .
METALLURGICAL TRANSACTIONS A-PHYSICAL METALLURGY AND MATERIALS SCIENCE, 1988, 19 (07) :1861-1871
[47]   Towards a mesh-free computation of transport phenomena [J].
Sarler, B .
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 2002, 26 (09) :731-738
[48]   FORMATION OF MACROSEGREGATION BY MULTICOMPONENT THERMOSOLUTAL CONVECTION DURING THE SOLIDIFICATION OF STEEL [J].
SCHNEIDER, MC ;
BECKERMANN, C .
METALLURGICAL AND MATERIALS TRANSACTIONS A-PHYSICAL METALLURGY AND MATERIALS SCIENCE, 1995, 26 (09) :2373-2388
[49]   Modeling of micro- and macrosegregation and freckle formation in single-crystal nickel-base superalloy directional solidification [J].
Schneider, MC ;
Gu, JP ;
Beckermann, C ;
Boettinger, WJ ;
Kattner, UR .
METALLURGICAL AND MATERIALS TRANSACTIONS A-PHYSICAL METALLURGY AND MATERIALS SCIENCE, 1997, 28 (07) :1517-1531
[50]   Meshless element free Galerkin method for unsteady nonlinear heat transfer problems [J].
Singh, Akhilendra ;
Singh, Indra Vir ;
Prakash, Ravi .
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 2007, 50 (5-6) :1212-1219