Development and application of fast methods for computing momentum transfer between gas and dust in supercomputer simulation of planet formation

Stoyanovskaya, Olga P.; Akimkin, V. V.; Vorobyov, Eduard I.; Glushko, Tatiana; Pavlyuchenkov, Ya. N.; Снытников, В. Н.; Snytnikov, Nikolay

doi:10.1088/1742-6596/1103/1/012008

Cited by 3 publications

(2 citation statements)

References 23 publications

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“…In this way, we compute the velocity of dust at the point where the gas particle is located (and vice versa) using standard SPH interpolation. The duplicate node method preserves the Lagrangian nature of the interphase interaction computing and reduces the numerical overdissipation of the solution in the case of stiff drag [42,43], but does not guarantee global and local conservation of momentum and angular momentum.…”

Section: Fluids With Mono-and Polydisperse Inclusions -Approximation Of Stiff Relaxation Terms In Grid Methodsmentioning

confidence: 99%

Fast method to simulate dynamics of two-phase medium with intense interaction between phases by smoothed particle hydrodynamics: Gas-dust mixture with polydisperse particles, linear drag, one-dimensional tests

Stoyanovskaya

Davydov

Arendarenko

et al. 2021

Journal of Computational Physics

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Section: Fluids With Mono-and Polydisperse Inclusions -Approximation Of Stiff Relaxation Terms In Grid Methodsmentioning

confidence: 99%

Fast method to simulate dynamics of two-phase medium with intense interaction between phases by smoothed particle hydrodynamics: Gas-dust mixture with polydisperse particles, linear drag, one-dimensional tests

Stoyanovskaya

Davydov

Arendarenko

et al. 2021

Journal of Computational Physics

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“…We solved the entire system (1)-( 2) using a two-stage scheme based on the operator splitting method with respect to physical processes (as in our earlier studies [40,37]). We solved the continuity equation and the equation of motion using the finite-difference method described in detail for a pure gas in [36].…”

Section: Fast and Asymptotic Preserving Scheme For The Time Discretiz...mentioning

confidence: 99%

Simulations of Dynamical Gas–Dust Circumstellar Disks: Going Beyond the Epstein Regime

et al. 2020

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In circumstellar disks, the size of dust particles varies from submicron to several centimeters, while planetesimals have sizes of hundreds of kilometers. Therefore, various regimes for the aerodynamic drag between solid bodies and gas can be realized in these disks, depending on the grain sizes and velocities: Epstein, Stokes, and Newton, as well as transitional regimes between them. This means that simulations of the dynamics of gas-dust disks require the use of a drag coefficient that is applicable for a wide range for sizes and velocities for the bodies. Furthermore, the need to compute the dynamics of bodies of different sizes in the same way imposes high demands on the numerical method used to find the solution. For example, in the Epstein and Stokes regimes, the force of friction depends linearly on the relative velocity between the gas and bodies, while this dependence is non-linear in the transitional and Newton regimes. On the other hand, for small bodies moving in the Epstein regime, the time required to establish the constant relative velocity between the gas and bodies can be much less than the dynamical time scale for the problem-the time for the rotation of the disk about the central body. In addition, the dust may be concentrated in individual regions of the disk, making it necessary to take into account the transfer of momentum between the dust and gas. It is shown that, for a system of equations for gas and monodisperse dust, a semi-implicit first-order approximation scheme in time in which the interphase interaction is calculated implicitly, while other forces, such as the pressure gradient and gravity are calculated explicitly, is suitable for stiff problems with intense interphase interactions and for computations of the drag in non-linear regimes. The piece-wise drag coefficient widely used in astrophysical simulations has a discontinuity at some values of the Mach and Knudsen numbers that are realized in a circumstellar disk. A continuous drag coefficient is presented, which corresponds to experimental dependences obtained for various drag regimes.

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Gas-monodisperse dust mixtures in smoothed particle hydrodynamics: computing of stiff non-linear drag

Stoyanovskaya

Glushko

Okladnikov

et al. 2019

J. Phys.: Conf. Ser.

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Simulation the dynamics of gas-solid mixtures is crucial in many applications: chemical reactor design, evolution of circumstellar discs, etc. Such mixtures where gas is a carrier phase and solid grains are dispersed phase can be simulated as interpenetrating continuum media. The characteristic parameter of this problem is relaxation time between gas and dust velocities. In many applications this parameter varies significantly during the simulation (from small to unity). Moreover, the drag force can be non-linearly dependent on solids to gas relative velocity. These factors place high requirements on the numerical methods for such problems. We propose a novel non-iterative algorithm for Smoothed Particle Hydrodynamics for computing gas-solid mixtures with exchange momentum between phases. Forces (except drag force) are approximated explicitly, while drag force is linearized and velocity relaxation time is approximated explicitly while relative velocity is approximated implicitly. The algorithm was tested on dynamical problems for dusty gas mixtures. It was shown that in the developed algorithm for stiff nonlinear drag we can use temporal and spatial resolution independent of drag parameters.

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Development and application of fast methods for computing momentum transfer between gas and dust in supercomputer simulation of planet formation

Cited by 3 publications

References 23 publications

Fast method to simulate dynamics of two-phase medium with intense interaction between phases by smoothed particle hydrodynamics: Gas-dust mixture with polydisperse particles, linear drag, one-dimensional tests

Fast method to simulate dynamics of two-phase medium with intense interaction between phases by smoothed particle hydrodynamics: Gas-dust mixture with polydisperse particles, linear drag, one-dimensional tests

Simulations of Dynamical Gas–Dust Circumstellar Disks: Going Beyond the Epstein Regime

Gas-monodisperse dust mixtures in smoothed particle hydrodynamics: computing of stiff non-linear drag

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