Numerical equivalence between SPH and probabilistic mass transfer methods for Lagrangian simulation of dispersion
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10.1016/j.advwatres.2019.02.009
Inclou dades d'ús des de 2022
Cita com:
hdl:2117/132739
Tipus de documentArticle
Data publicació2019-04
EditorElsevier
Condicions d'accésAccés obert
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Reconeixement-NoComercial-SenseObraDerivada 3.0 Espanya
ProjecteLAS NECESIDADES DE AGUA, LA DISPONIBILIDAD, LA CALIDAD Y LA SOSTENIBILIDAD (MINECO-PCIN-2015-248)
Abstract
Several Lagrangian methodologies have been proposed in recent years to simulate advection-dispersion of solutes in fluids as a mass exchange between numerical particles carrying the fluid. In this paper, we unify these methodologies, showing that mass transfer particle tracking (MTPT) algorithms can be framed within the context of smoothed particle hydrodynamics (SPH), provided the choice of a Gaussian smoothing kernel whose bandwidth depends on the dispersion and the time discretization. Numerical simulations are performed for a simple dispersion problem, and they are compared to an analytical solution. Based on the results, we advocate for the use of a kernel bandwidth of the size of the characteristic dispersion length $\ell=\sqrt{2D\mathrm\Delta t}$ at least given a “dense enough” distribution of particles, for in this case the mass transfer operation is not just an approximation, but in fact the exact solution, of the solute’s displacement by dispersion in a time step.
CitacióSole-Mari, G. [et al.]. Numerical equivalence between SPH and probabilistic mass transfer methods for Lagrangian simulation of dispersion. "Advances in water resources", Abril 2019, vol. 126, p. 108-115.
ISSN0309-1708
Versió de l'editorhttps://www.sciencedirect.com/science/article/pii/S0309170818310820
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