Browsing by Author "Garrido-Deutelmoser, Juan"

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    A Fast Second-order Solver for Stiff Multifluid Dust and Gas Hydrodynamics
    (2024) Krapp, Leonardo; Garrido-Deutelmoser, Juan; Benitez-Llambay, Pablo; Kratter, Kaitlin M.
    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-explicit scheme and solves the stiff source term in the momentum equation with a diagonally implicit, asymptotically stable Runge-Kutta method (DIRK). In particular, DIRK admits a simple analytical solution that can be evaluated with O(N) operations, instead of standard matrix inversion, which is O(N)3 . Therefore, the analytical solution significantly reduces the computational cost of the multifluid method, making it suitable for studying the dynamics of systems with particle-size distributions. We demonstrate that the method conserves momentum to machine precision and converges to the correct equilibrium solution with constant external acceleration. To validate our numerical method we present a series of simple hydrodynamic tests, including damping of sound waves, dusty shocks, a multifluid dusty Jeans instability, and a steady-state gas-dust drift calculation. The simplicity of MDIRK lays the groundwork to build fast high-order, asymptotically stable multifluid methods.
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    A Gap-sharing Planet Pair Shaping the Crescent in HD 163296: A Disk Sculpted by a Resonant Chain
    (2023) Garrido-Deutelmoser, Juan; Petrovich, Cristobal; Charalambous, Carolina; Guzman, Viviana V.; Zhang, Ke
    The Atacama Large Millimeter Array observations of the disk around HD 163296 have resolved a crescent-shape substructure at around 55 au, inside and off-center from a gap in the dust that extends from 38 to 62 au. In this work we propose that both the crescent and the dust rings are caused by a compact pair (period ratio similar or equal to 4:3) of sub-Saturn-mass planets inside the gap, with the crescent corresponding to dust trapped at the L (5) Lagrange point of the outer planet. This interpretation also reproduces well the gap in the gas recently measured from the CO observations, which is shallower than what is expected in a model where the gap is carved by a single planet. Building on previous works arguing for outer planets at approximate to 86 and approximate to 137 au, we provide a global model of the disk that best reproduces the data and shows that all four planets may fall into a long resonant chain, with the outer three planets in a 1:2:4 Laplace resonance. We show that this configuration is not only an expected outcome from disk-planet interaction in this system, but it can also help constrain the radial and angular position of the planet candidates using three-body resonances.
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    Dust trapping around Lagrangian points in protoplanetary disks
    (2020) Montesinos, Matias; Garrido-Deutelmoser, Juan; Olofsson, Johan; Giuppone, Cristian A.; Cuadra, Jorge; Bayo, Amelia; Sucerquia, Mario; Cuello, Nicolas
    Aims. Trojans are defined as objects that share the orbit of a planet at the stable Lagrangian points L-4 and L-5. In the Solar System, these bodies show a broad size distribution ranging from micrometer (mu m) to centimeter (cm) particles (Trojan dust) and up to kilometer (km) rocks (Trojan asteroids). It has also been theorized that earth-like Trojans may be formed in extra-solar systems. The Trojan formation mechanism is still under debate, especially theories involving the effects of dissipative forces from a viscous gaseous environment.