A Note on Conservation Laws for Keplerian Flows

Details A Note on Conservation Laws for Keplerian Flows A Note on Conservation Laws for Keplerian Flows

Jun 2002

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2002apjs..140..581d&link_type=abstract

The Astrophysical Journal Supplement Series, Volume 140, Issue 2, pp. 581-588.

Astronomy and Astrophysics

Astronomy

1

Hydrodynamics, Methods: Analytical

Scientific paper

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.

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