A COMPLEMENTARY VOLUME APPROACH FOR MODELLING THREE-DIMENSIONAL NAVIER-STOKES EQUATIONS USING DUAL DELAUNAY/VORONOI TESSELLATIONS

被引：13

作者：

Cavendish, J. C. ^{[1
]}

Hall, C. A. ^{[2
]}

Porsching, T. A. ^{[2
]}

机构：

[1] Gen Motors Res Labs, Dept Math, Warren, MI 48090 USA

[2] Univ Pittsburgh, Dept Math & Stat, Pittsburgh, PA 15260 USA

来源：

INTERNATIONAL JOURNAL OF NUMERICAL METHODS FOR HEAT & FLUID FLOW | 1994年 / 4卷 / 01期

关键词：

Navier-Stokes equations; Delaunay/Voronoi tessellations;

D O I：

10.1108/EUM0000000004109

中图分类号：

O414.1 [热力学];

学科分类号：

摘要：

We describe a new mathematical approach for deriving and solving covolume models of the three-dimensional, incompressible Navier-Stokes flow equations. The approach integrates three technical components into a single modelling algorothm: automatic grid generation; covolume equation generation; dual variable reduction.

引用

页码：329 / 345

页数：17

共 26 条

[1] AN APPLICATION OF NETWORK THEORY TO THE SOLUTION OF IMPLICIT NAVIER-STOKES DIFFERENCE-EQUATIONS [J].

AMIT, R ;

HALL, CA ;

PORSCHING, TA .

JOURNAL OF COMPUTATIONAL PHYSICS, 1981, 40 (01) :183-201

[2]

Berge C., 1965, PROGRAMMING GAMES TR

[3] SOLUTION OF INCOMPRESSIBLE NAVIER-STOKES EQUATIONS ON UNSTRUCTURED GRIDS USING DUAL TESSELLATIONS [J].

Cavendish, J. C. ;

Hall, C. A. ;

Porsching, T. A. .

INTERNATIONAL JOURNAL OF NUMERICAL METHODS FOR HEAT & FLUID FLOW, 1992, 2 (01) :483-502

[4]

Cavendish J. C., 1991, P 7 INT C NUM METH L

[5]

Cavendish J. C., 1985, MATH FINITE ELEMENTS

[6]

CAVENDISH JC, 1985, INT J NUMER METH ENG, V21, P329

[7]

Ewing D. J., 1970, INT J NUMER METH ENG, V2, P597

[8] PROCEDURE FOR THE CONSTRUCTION OF VORONOI POLYHEDRA [J].

FINNEY, JL .

JOURNAL OF COMPUTATIONAL PHYSICS, 1979, 32 (01) :137-143

[9]

Frey W.H., 1983, GEN MOTORS RES PUBLI

[10] SELECTIVE REFINEMENT - A NEW STRATEGY FOR AUTOMATIC NODE PLACEMENT IN GRADED TRIANGULAR MESHES [J].

FREY, WH .

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 1987, 24 (11) :2183-2200

← 1 2 3 →