A three-dimensional spherical mesh generator

被引：10

作者：

Everett, ME

机构：

[1] Department of Geology, Texas A and M University, College Station

来源：

GEOPHYSICAL JOURNAL INTERNATIONAL | 1997年 / 130卷 / 01期

关键词：

finite-element methods;

D O I：

10.1111/j.1365-246X.1997.tb00998.x

中图分类号：

P3 [地球物理学]; P59 [地球化学];

学科分类号：

0708 ; 070902 ;

摘要：

A new spherical mesh generator is described. It represents an efficient, deterministic packing of tetrahedra into a solid sphere, a spherical shell, or both. The mesh can be used for finite-element solutions to a wide variety of global numerical modelling problems in the geosciences. The nodes within the mesh are distributed uniformly, and long, thin tetrahedra are avoided. The method proposed here offers several advantages over 3-D Delaunay algorithms for finite-element mesh generation. For the related problem of trivariate scattered data interpolation, which is not considered here, the 3-D Delaunay algorithms are the method of choice.

引用

收藏

页码：193 / 200

页数：8

相关论文

共 20 条

[1] ON THE CONSTRUCTION OF THE VORONOI MESH ON A SPHERE [J].

AUGENBAUM, JM ;

PESKIN, CS .

JOURNAL OF COMPUTATIONAL PHYSICS, 1985, 59 (02) :177-192

[2] ICOSAHEDRAL DISCRETIZATION OF THE 2-SPHERE [J].

BAUMGARDNER, JR ;

FREDERICKSON, PO .

SIAM JOURNAL ON NUMERICAL ANALYSIS, 1985, 22 (06) :1107-1115

[3] A SOURCE-SINK MODEL OF THE GENERATION OF PLATE-TECTONICS FROM NON-NEWTONIAN MANTLE FLOW [J].

BERCOVICI, D .

JOURNAL OF GEOPHYSICAL RESEARCH-SOLID EARTH, 1995, 100 (B2) :2013-2030

[4] GEOMAGNETIC-FIELD MODELS INCORPORATING FROZEN-FLUX CONSTRAINTS [J].

CONSTABLE, CG ;

PARKER, RL ;

STARK, PB .

GEOPHYSICAL JOURNAL INTERNATIONAL, 1993, 113 (02) :419-433

[5]

CULLEN MJP, 1974, Q J ROY METEOR SOC, V100, P555

[6] DSM COMPLETE SYNTHETIC SEISMOGRAMS - P-SV, SPHERICALLY SYMMETRICAL, CASE [J].

CUMMINS, PR ;

GELLER, RJ ;

TAKEUCHI, N .

GEOPHYSICAL RESEARCH LETTERS, 1994, 21 (15) :1663-1666

[7] Geomagnetic induction in a heterogenous sphere: Azimuthally symmetric test computations and the response of an undulating 660-km discontinuity [J].

Everett, ME ;

Schultz, A .

JOURNAL OF GEOPHYSICAL RESEARCH-SOLID EARTH, 1996, 101 (B2) :2765-2783

[8] A 3-DIMENSIONAL CONVECTIVE DYNAMO SOLUTION WITH ROTATING AND FINITELY CONDUCTING INNER-CORE AND MANTLE [J].

GLATZMAIER, GA ;

ROBERTS, PH .

PHYSICS OF THE EARTH AND PLANETARY INTERIORS, 1995, 91 (1-3) :63-75

[9] TETRAHEDRAL MESH GENERATION IN POLYHEDRAL REGIONS BASED ON CONVEX POLYHEDRON DECOMPOSITIONS [J].

JOE, B .

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 1994, 37 (04) :693-713

[10]

LIU A, 1996, MATH COMPUT, V215, P1183