A Fast Second-order Solver for Stiff Multifluid Dust and Gas Hydrodynamics

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dc.contributor.authorKrapp, Leonardo
dc.contributor.authorGarrido-Deutelmoser, Juan
dc.contributor.authorBenitez-Llambay, Pablo
dc.contributor.authorKratter, Kaitlin M.
dc.date.accessioned2025-01-20T17:08:59Z
dc.date.available2025-01-20T17:08:59Z
dc.date.issued2024
dc.description.abstractWe 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.
dc.fuente.origenWOS
dc.identifier.doi10.3847/1538-4365/ad14f9
dc.identifier.eissn1538-4365
dc.identifier.issn0067-0049
dc.identifier.urihttps://doi.org/10.3847/1538-4365/ad14f9
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/91002
dc.identifier.wosidWOS:001161915100001
dc.issue.numero1
dc.language.isoen
dc.revistaAstrophysical journal supplement series
dc.rightsacceso restringido
dc.titleA Fast Second-order Solver for Stiff Multifluid Dust and Gas Hydrodynamics
dc.typeartículo
dc.volumen271
sipa.indexWOS
sipa.trazabilidadWOS;2025-01-12
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