Smoothed particle hydrodynamics

By Joseph J Monaghan. 2005

7,140 citations recorded by the source corpus.

Subfields: Civil and Structural Engineering, Computational Mechanics, Mechanics of Materials

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Citations in the corpus

Learning to Simulate Complex Physics with Graph Networks (2020, methodology): “One popular particle-based method for simulating ﬂuids is “smoothed particle hydrodynamics” (SPH) (Monaghan, 1992), which evaluates pressure and viscosity forces around each particle, and updates particles’ velocities and positions accordingly.”
Metallicity gradients in disks - Do galaxies form inside-out? (2012, methodology): “A standard Salpeter initial mass function (IMF) was assumed (with lower and upper mass limits of 0.07 and 120 M⊙, respectively), along with pure thermal feedback from both SNeII8 and SNeIa (∼1051 erg/SN) being distributed to the surrounding SPH particles within 1 kpc (weighted by the SPH kernel).”
The formation of molecular clouds in spiral galaxies (2006, methodology): “Artificial viscosity is included with the standard parameters α = 1 and β = 2 (Monaghan & Lattanzio 1985; Monaghan 1992).”
Constructing smoothing functions in smoothed particle hydrodynamics with applications (2003, methodology): “In resolving the shock, the Monaghan type artiIcial viscosity [12] is used, which also solves to prevent unphysical penetration.”
Thermodynamic consistency in dissipative particle dynamics simulations of strongly nonideal liquids and liquid mixtures (2002, methodology): “The physical interpretation and the conservativeforce derivation procedure of MDPD have been described, and a similarity between MDPD and SPH [30] has been identified.”
Multiphase smoothed-particle hydrodynamics (2000, positive): “Equation 16 is obtained using the general identity ∇P ρ = P ρσ ∇ ( 1 ρ1−σ ) + 1 ρ2−σ ∇ ( P ρσ−1 ) (17) (Monaghan, 1992) and using σ = 1 gives an alternative identity that at first sight seems a little bizarre: ∇P ρ = ∇P ρ + P ρ ∇1.”
Application of weakly compressible and truly incompressible SPH to 3-D water collapse in waterworks (2010, methodology): “…in particles; using the basic SPH interpolants to write the spatial derivatives in a Lagrangian discrete form (see e.g. the recent review by Monaghan 2005), we obtain a system of explicit equations giving the velocity vector, the density and the pressure of each particle at time n + 1 as a…”
An improved SPH method: Towards higher order convergence (2007, methodology): “In order to achieve symmetry and to provide some reciprocity properties, both the continuity and the momentum conservation equations must be first transformed [12] before their discretization: ~ rP q 1⁄4 P qr ~ r 1 q1 r þ q 2 ~ r P qr 1 ; ð7Þ q ~ r~v 1⁄4 ~ rðq (1)~vÞ ~v ~ rq 1 qr 2 ; ð8Þ where P,~v ”
SPLASH: An Interactive Visualisation Tool for Smoothed Particle Hydrodynamics Simulations (2007, methodology): “Smoothed Particle Hydrodynamics (for recent reviews see Monaghan 2005; Price 2004) is a Lagrangian particle method for solving the equations of fluid dynamics.”
The effect of magnetic fields on star cluster formation (2008, methodology): “Thus, for example, we are not able at this resolution to confidently assert that we have accurately captured the influence of the magnetic field on the fragmentation of individual cores (e.g. as in Price & Bate 2007).”
The importance of radiative feedback for the stellar initial mass function (2008, methodology): “We use the standard form of artificial viscosity (Monaghan & Gingold 1983; Monaghan 1992) with strength parameters αv = 1 and βv = 2.”