Building a Cosmological Hydrodynamic Code: Consistency Condition, Moving Mesh Gravity and SLH-P3M

Details Building a Cosmological Hydrodynamic Code: Consistency Condition, Moving Mesh Gravity and SLH-P3M Building a Cosmological Hydrodynamic Code: Consistency Condition, Moving Mesh Gravity and SLH-P3M

1996-02-13

arxiv.org/abs/astro-ph/9602063v1

submitted to ApJ

Astronomy and Astrophysics

Astrophysics

postscript figures (except fig.10-12) are included; the full paper including color gif versions of fig.10-12 is available via

Scientific paper

10.1086/177854

Building a self-gravitating hydrodynamic code as a combination of a hydrodynamic solver and a gravity solver is discussed. We show that straightforward combining those two solvers generally leads to a code that does not conserve energy locally, and instead a special Consistency Condition ought to be satisfied. A particular example of combining Softened Lagrangian Hydrodynamics (SLH) with a P3M gravity solver is used to demonstrate the effect of the Consistency Condition for a self-gravitating hydrodynamic code. The need to supplement the SLH method with the P3M gravity solver arose because the Moving Mesh Gravity solver, used in conjunction with the SLH method previously, was found to produce inaccurated results. We also show that most existing cosmological hydrodynamic codes implicitly satisfy the Consistency Condition.

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