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We present MDIRK: a Multifluid second-order Diagonally-Implicit Runge-Kutta method to study momentum transfer between gas and an arbitrary number ($N$) of dust species. The method integrates the equations of hydrodynamics with an Implicit…

Computational Physics · Physics 2024-02-27 Leonardo Krapp , Juan Garrido-Deutelmoser , Pablo Benítez-Llambay , Kaitlin M. Kratter

Smoothed Particle Hydrodynamics (SPH) is a popular numerical technique developed for simulating complex fluid flows. Among its key ingredients is the use of nonlocal integral relaxations to local differentiations. Mathematical analysis of…

Numerical Analysis · Mathematics 2019-07-04 Qiang Du , Xiaochuan Tian

We measure the turbulent diffusion coefficient of dust grains embedded in magnetorotational turbulence in a protoplanetary disc directly from numerical simulations and compare it to the turbulent viscosity of the flow. The simulations are…

Astrophysics · Physics 2009-11-10 Anders Johansen , Hubert Klahr

Hot, tenuous advection-dominated accretion flows around black holes are ideal sites for the Fermi acceleration of relativistic particles at standing shock waves in the accretion disc. Previous work has demonstrated that the…

High Energy Astrophysical Phenomena · Physics 2020-02-17 Jason P. Lee , Peter A. Becker

We analyse the performance of twelve different implementations of Smoothed Particle Hydrodynamics (SPH) using seven tests designed to isolate key hydrodynamic elements of cosmological simulations which are known to cause the SPH algorithm…

Astrophysics · Physics 2009-10-30 R. J. Thacker , E. R. Tittley , F. R. Pearce , H. M. P. Couchman , P. A. Thomas

The origin of the elevated C/O ratios in discs around late M dwarfs compared to discs around solar-type stars is not well understood. Here we endeavour to reproduce the observed differences in the disc C/O ratios as a function of stellar…

Earth and Planetary Astrophysics · Physics 2023-09-06 J. Mah , B. Bitsch , I. Pascucci , T. Henning

We present the implementation of a dust growth and fragmentation module in the public Smoothed Particle Hydrodynamics (SPH) code PHANTOM. This module is made available for public use with this paper. The coagulation model considers locally…

Earth and Planetary Astrophysics · Physics 2021-08-18 Arnaud Vericel , Jean-François Gonzalez , Daniel J. Price , Guillaume Laibe , Christophe Pinte

From the survival of dust disks for a few Myr to the establishment of chemical dichotomy, dust traps are expected to play a pivotal role in sculpting protoplanetary disks and the early planet formation process. These traps however may not…

Earth and Planetary Astrophysics · Physics 2025-05-27 Pinghui Huang , Fangyuan Yu , Eve J. Lee , Ruobing Dong , Xue-Ning Bai

We show the first SPHERE/IRDIS and IFS data of the CO-rich debris disc around HD 131488. We use N-body simulations to model both the scattered light images and the SED of the disc in a self-consistent way. We apply the Henyey-Greenstein…

Discrete particle simulation, a combined approach of computational fluid dynamics and discrete methods such as DEM (Discrete Element Method), DSMC (Direct Simulation Monte Carlo), SPH (Smoothed Particle Hydrodynamics), PIC…

Fluid Dynamics · Physics 2014-06-20 Limin Wang , Bo Zhang , Xiaowei Wang , Wei Ge , Jinghai Li

We present the results from a two-day study in which we discussed various implementations of Smooth Particle Hydrodynamics (SPH), one of the leading methods used across a variety of areas of large-scale astrophysical simulations. In…

Astrophysics · Physics 2007-05-23 Piet Hut , Lars Hernquist , George Lake , Jun Makino , Steve McMillan , Thomas Sterling

We study the dynamics of gas and dust in a protoplanetary disk in the presence of embedded planets. We investigate the conditions for dust-gap formation in terms of particle size and planetary mass. We also monitor the amount of dust that…

Astrophysics · Physics 2009-11-11 S. -J. Paardekooper , G. Mellema

Particle methods play an important role in the study of a wide variety of astrophysical fluid dynamics problems. The different methods currently in use are all variants of the so-called Smoothed Particle Hydrodynamics (SPH) scheme…

Astrophysics · Physics 2009-10-31 Frederic A. Rasio

Dust growth from micron- to planet-size in protoplanetary discs involves multiple physical processes, including dust collisions, the streaming instability, and pebble accretion. Disc turbulence and dust fragility matter at almost every…

Earth and Planetary Astrophysics · Physics 2026-01-14 Simin Tong , Richard Alexander , Giovanni Rosotti

The streaming instability (SI), driven by aerodynamic coupling between solids and the gas under a global radial pressure gradient, concentrates solids and facilitates planetesimal formation. Unstratified simulations are commonly used to…

Earth and Planetary Astrophysics · Physics 2025-09-09 Jeonghoon Lim , Stanley A. Baronett , Jacob B. Simon , Chao-Chin Yang , Debanjan Sengupta , Orkan M. Umurhan , Wladimir Lyra

Gravitational instability (GI) controls the dynamics of young massive protoplanetary discs. Apart from facilitating gas accretion on to the central protostar, it must also impact on the process of planet formation: directly through…

Earth and Planetary Astrophysics · Physics 2020-03-11 A. Riols , B. Roux , H. Latter , G. Lesur

The streaming instability is a fundamental process that can drive dust-gas dynamics and ultimately planetesimal formation in protoplanetary discs. As a linear instability, it has been shown that its growth with a distribution of dust sizes…

Earth and Planetary Astrophysics · Physics 2021-10-20 Chao-Chin Yang , Zhaohuan Zhu

Spiral arms are distinctive features of many circumstellar disks, observed in scattered light, which traces the disk surface, millimeter dust emission, which probes the disk midplane, as well as molecular emission. The two leading…

Earth and Planetary Astrophysics · Physics 2021-03-24 Hans Baehr , Zhaohuan Zhu

In the recent years we have performed various experiments on the collision dynamics of highly porous dust aggregates and although we now have a comprehensive picture of the micromechanics of those aggregates, the macroscopic understanding…

Earth and Planetary Astrophysics · Physics 2015-05-13 Carsten Güttler , Maya Krause , Ralf J. Geretshauser , Roland Speith , Jürgen Blum

Smoothed Dissipative Particle Dynamics (SDPD) is a mesoscopic particle method which allows to select the level of resolution at which a fluid is simulated. The numerical integration of its equations of motion still suffers from the lack of…

Statistical Mechanics · Physics 2017-10-25 Gérôme Faure , Gabriel Stoltz