Front tracking in two and three dimensions

被引：70

作者：

Glimm, J ^{[1
]}

Graham, MJ ^{[1
]}

Grove, J ^{[1
]}

Li, XL ^{[1
]}

Smith, TM ^{[1
]}

Tan, D ^{[1
]}

Tangerman, F ^{[1
]}

Zhang, Q ^{[1
]}

机构：

[1] SUNY Stony Brook, Dept Appl Math & Stat, Stony Brook, NY 11794 USA

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 1998年 / 35卷 / 07期

基金：

美国国家科学基金会;

关键词：

front tracking; Riemann problems; Richtmyer-Meshkov instability; deposition and etching processes;

D O I：

10.1016/S0898-1221(98)00028-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Front tracking is a method for solving conservation laws in which the evolution of discontinuities is determined through the solution of Riemann problems. This method often does not require highly refined grids, and it has no numerical diffusion. We show the success of this method through a comparison of simulations of the Richtmyer-Meshkov instability, an unstable material interface, with experimental data. Good simulations of such instabilities are notoriously difficult, and we also demonstrate for the same physical problem that grid orientations have no effect on the numerical solution. We also present the first results of our three-dimensional front tracking code by simulating an important aspect of the computer chip manufacturing process: material deposition and etching. Our two-and three-dimensional front tracking code is parallelized for MIMD architectures and runs on our 128 node Intel Paragon.

引用

页码：1 / 11

页数：11

共 22 条

[1] A RENORMALIZATION-GROUP SCALING ANALYSIS FOR COMPRESSIBLE 2-PHASE FLOW [J].

CHEN, YP ;

DENG, YF ;

GLIMM, J ;

LI, G ;

ZHANG, Q ;

SHARP, DH .

PHYSICS OF FLUIDS A-FLUID DYNAMICS, 1993, 5 (11) :2929-2937

[2] SOME PROPERTIES OF VISCOSITY SOLUTIONS OF HAMILTON-JACOBI EQUATIONS [J].

CRANDALL, MG ;

EVANS, LC ;

LIONS, PL .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1984, 282 (02) :487-502

[3] NONLINEAR AND STOCHASTIC PHENOMENA - THE GRAND CHALLENGE FOR PARTIAL-DIFFERENTIAL EQUATIONS [J].

GLIMM, J .

SIAM REVIEW, 1991, 33 (04) :626-643

[4]

Glimm J, 1997, COMMUN MATH PHYS, V187, P647, DOI 10.1007/s002200050153

[5] Renormalization group solution of two-phase flow equations for Rayleigh-Taylor mixing [J].

Glimm, J ;

Saltz, D ;

Sharp, DH .

PHYSICS LETTERS A, 1996, 222 (03) :171-176

[6] A NUMERICAL STUDY OF BUBBLE INTERACTIONS IN RAYLEIGH-TAYLOR INSTABILITY FOR COMPRESSIBLE FLUIDS [J].

GLIMM, J ;

LI, XL ;

MENIKOFF, R ;

SHARP, DH ;

ZHANG, Q .

PHYSICS OF FLUIDS A-FLUID DYNAMICS, 1990, 2 (11) :2046-2054

[7]

GLIMM J, 1995, SUNYSBAMS9517

[8] QUANTITATIVE THEORY OF RICHTMYER-MESHKOV INSTABILITY [J].

GROVE, JW ;

HOLMES, R ;

SHARP, DH ;

YANG, Y ;

ZHANG, Q .

PHYSICAL REVIEW LETTERS, 1993, 71 (21) :3473-3476

[9] A SHOCK-TRACKING ALGORITHM FOR SURFACE EVOLUTION UNDER REACTIVE-ION ETCHING [J].

HAMAGUCHI, S ;

DALVIE, M ;

FAROUKI, RT ;

SETHURAMAN, S .

JOURNAL OF APPLIED PHYSICS, 1993, 74 (08) :5172-5184

[10] NUMERICAL INVESTIGATION OF RICHTMYER-MESHKOV INSTABILITY USING FRONT TRACKING [J].

HOLMES, RL ;

GROVE, JW ;

SHARP, DH .

JOURNAL OF FLUID MECHANICS, 1995, 301 :51-64

← 1 2 3 →