A note on conservation laws for Keplerian flows

被引:1
作者
Davis, SS [1 ]
机构
[1] NASA, Ames Res Ctr, Moffett Field, CA 94035 USA
关键词
hydrodynamics; methods : analytical;
D O I
10.1086/339406
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
The straightforward use of numerical conservation laws in non-Cartesian coordinates for flows with strong gravitational/centrifugal forces may induce significant errors. The numerical error when computing a conservation law driven by a gravitational body force is examined and traced to an incompatible finite-differencing sequence similar to that found in applications involving rectilinear flows. An alternate form of the conservation law is presented and illustrated by computing shock wave motion in a model protoplanetary disk using a high-order finite-difference method.
引用
收藏
页码:581 / 588
页数:8
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