THE PIECEWISE-PARABOLIC METHOD IN CURVILINEAR COORDINATES

被引：50

作者：

BLONDIN, JM

LUFKIN, EA

机构：

[1] UNIV ALABAMA,DEPT PHYS & ASTRON,TUSCALOOSA,AL 35487

[2] UNIV N CAROLINA,DEPT PHYS & ASTRON,CHAPEL HILL,NC 27514

[3] UNIV VIRGINIA,DEPT ASTRON,CHARLOTTESVILLE,VA 22903

来源：

ASTROPHYSICAL JOURNAL SUPPLEMENT SERIES | 1993年 / 88卷 / 02期

关键词：

HYDRODYNAMICS; NUMERICAL METHODS;

D O I：

10.1086/191834

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We derive interpolation formulae for a third-order finite difference method in curvilinear, orthogonal coordinate systems. These formulae serve as a supplement to Colella and Woodward's PPM scheme for problems where the coordinate origin is included in the computational domain. Numerical examples of the improved accuracy of the advection scheme near coordinate singularities are shown.

引用

页码：589 / 594

页数：6