%0 Generic %1 groth2023cosmological %A Groth, Frederick %A Steinwandel, Ulrich P. %A Valentini, Milena %A Dolag, Klaus %D 2023 %K library %T The Cosmological Simulation Code OpenGadget3 -- Implementation of Meshless Finite Mass %U http://arxiv.org/abs/2301.03612 %X Subsonic turbulence plays a major role in determining properties of the intra cluster medium (ICM). We introduce a new Meshless Finite Mass (MFM) implementation in OpenGadget3 and apply it to this specific problem. To this end, we present a set of test cases to validate our implementation of the MFM framework in our code. These include but are not limited to: the soundwave and Kepler disk as smooth situations to probe the stability, a Rayleigh-Taylor and Kelvin-Helmholtz instability as popular mixing instabilities, a blob test as more complex example including both mixing and shocks, shock tubes with various Mach numbers, a Sedov blast wave, different tests including self-gravity such as gravitational freefall, a hydrostatic sphere, the Zeldovich-pancake, and the nifty cluster as cosmological application. Advantages over SPH include increased mixing and a better convergence behavior. We demonstrate that the MFM-solver is robust, also in a cosmological context. We show evidence that the solver preforms extraordinarily well when applied to decaying subsonic turbulence, a problem very difficult to handle for many methods. MFM captures the expected velocity power spectrum with high accuracy and shows a good convergence behavior. Using MFM or SPH within OpenGadget3 leads to a comparable decay in turbulent energy due to numerical dissipation. When studying the energy decay for different initial turbulent energy fractions, we find that MFM performs well down to Mach numbers $M0.007$. Finally, we show how important the slope limiter and the energy-entropy switch are to control the behavior and the evolution of the fluids.

@misc{groth2023cosmological, abstract = {Subsonic turbulence plays a major role in determining properties of the intra cluster medium (ICM). We introduce a new Meshless Finite Mass (MFM) implementation in OpenGadget3 and apply it to this specific problem. To this end, we present a set of test cases to validate our implementation of the MFM framework in our code. These include but are not limited to: the soundwave and Kepler disk as smooth situations to probe the stability, a Rayleigh-Taylor and Kelvin-Helmholtz instability as popular mixing instabilities, a blob test as more complex example including both mixing and shocks, shock tubes with various Mach numbers, a Sedov blast wave, different tests including self-gravity such as gravitational freefall, a hydrostatic sphere, the Zeldovich-pancake, and the nifty cluster as cosmological application. Advantages over SPH include increased mixing and a better convergence behavior. We demonstrate that the MFM-solver is robust, also in a cosmological context. We show evidence that the solver preforms extraordinarily well when applied to decaying subsonic turbulence, a problem very difficult to handle for many methods. MFM captures the expected velocity power spectrum with high accuracy and shows a good convergence behavior. Using MFM or SPH within OpenGadget3 leads to a comparable decay in turbulent energy due to numerical dissipation. When studying the energy decay for different initial turbulent energy fractions, we find that MFM performs well down to Mach numbers $\mathcal{M}\approx 0.007$. Finally, we show how important the slope limiter and the energy-entropy switch are to control the behavior and the evolution of the fluids.}, added-at = {2023-01-11T06:02:09.000+0100}, author = {Groth, Frederick and Steinwandel, Ulrich P. and Valentini, Milena and Dolag, Klaus}, biburl = {https://www.bibsonomy.org/bibtex/2dc81c613e166e34e482a93ea979f1866/gpkulkarni}, description = {The Cosmological Simulation Code OpenGadget3 -- Implementation of Meshless Finite Mass}, interhash = {0b0ed2e365475a468eb241887965d737}, intrahash = {dc81c613e166e34e482a93ea979f1866}, keywords = {library}, note = {cite arxiv:2301.03612Comment: 27 pages, 24 figures, submitted to MNRAS}, timestamp = {2023-01-11T06:02:09.000+0100}, title = {The Cosmological Simulation Code OpenGadget3 -- Implementation of Meshless Finite Mass}, url = {http://arxiv.org/abs/2301.03612}, year = 2023 }