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AQUAL MOND patch to the RAMSES code (With dice patch).

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RAyMOND

RAyMOND is a patch to modify the N-body/hydrodynamics code RAMSES in order to be able to run simulations in MOND gravity. It includes both the fully non-linear AQUAL formulation of MOND, and the quasi-linear QUMOND formulation (in separate repositories as two separate patches). For details and examples of using the code, see these papers:

Including either patch automatically switches the gravitational solver to that of QUMOND/AQUAL. For both patches an additional MOND_PARAMS section must be added to the namelist with the following parameters:

  • imond_a0: This is the MOND acceleration scale in m/s^2. This is converted to code units automatically, using the density, time and length units supplied by the user in the namelist. (Note: this differs from older versions of RAMSES where the units were hard-coded in the units.f90 code).
  • mond_n: This is the exponent used in the MOND interpolation function which is hard-coded to be of the form x/(1+x^n)^(1/n) for AQUAL, or its inverse in the case of QUMOND (see Famaey & McGaugh 2012, eqs. 49 and 50). It is an easy matter to use a different mu (or nu) function: just change the appropriate line in the function "mu_function" (or "nu_function") at the end of poisson_commons.f90. Note that it's probably numerically more efficient to remove mond_n completely from the interpolation function if you are using the "simple" version where mond_n = 1.

There is one additional patch-specific parameter for AQUAL runs:

  • maxstoredcells: This is a technical parameter used to set the size of an array that stores extra grid cell values required due to the enlarged numerical stencil of the non-linear solver. Setting this to about 20% of the value of ngridmax is usually more than enough.

This patch has been checked to compile with the stable 19_10 branch of the RAMSES code. No tests have yet been undertaken to check runtime compatibility.

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