Hydrodynamical simulations with strong indirect terms in FARGO-like codes - Numerical aspects of the non-inertial frame and artificial viscosity

Open Access

Table 1

Scaling of the oscillation amplitudes in semi-major axis found in Fig. 3 for the indirect term protocols for particles beyond 8 a_bin .

Protocol	$\frac{d \log A_{syn}}{d \log a_{0}}$ ${{{\rm{d}}\log {A_{{\rm{syn}}}}} \over {{\rm{d}}\log {a_0}}}$	$\frac{d \log A_{syn}}{d \log Δ t}$ ${{{\rm{d}}\log {A_{{\rm{syn}}}}} \over {{\rm{d}}\log \Delta t}}$	$\frac{d \log A_{syn}}{d \log q}$ ${{{\rm{d}}\log {A_{{\rm{syn}}}}} \over {{\rm{d}}\log q}}$
Reference	−2.5	0	1
Shift	0	1	1
Euler	1.5	1	1
	$\frac{d \log A_{cfl}}{d \log a_{0}}$ ${{{\rm{d}}\log {A_{{\rm{cfl}}}}} \over {{\rm{d}}\log {a_0}}}$	$\frac{d \log A_{cfl}}{d \log Δ t}$ ${{{\rm{d}}\log {A_{{\rm{cfl}}}}} \over {{\rm{d}}\log \Delta t}}$	$\frac{d \log A_{cfl}}{d \log q}$ ${{{\rm{d}}\log {A_{{\rm{cfl}}}}} \over {{\rm{d}}\log q}}$

Reference	–	–	–
Shift	0	1	2
Euler	1.5	1	2

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