Numerical Study of Density Waves in Protoplanetary Disks

Physics

Scientific paper

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Scientific paper

With very high spatial resolution, accurate numerical solver, and precise planetary potential, we carry out 2D shearing sheet simulations to provide detailed quantitative comparisons of numerical results with both linear and nonlinear analytical theories on the density waves excited by planets in protoplanetary disks. We achieve very good agreement (at the level of several percent) with theories on primary physical variables. Also, we study issues which are ignored by the theories, such as the nonlinear effect in the linear stage. The effects of various numerical parameters are extensively investigated, and we provide a framework for future code test in the field of planet-disk interactions. Finally, we discover a commonly ignored but important numerical issue in simulations, which if not handled correctly will lead to incorrect simulation results and an artificial gap opening phenomenon.

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