Numerical Modeling of Water Waves with the SPH Method

By Robert A. Dalrymple, Benedict D. Rogers. 2006

863 citations recorded by the source corpus.

Subfields: Computational Mechanics, Earth-Surface Processes

View Paper: https://www.semanticscholar.org/paper/3b80a13eec568d44a782ecdcd246ee0ecd032958

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In Computational Mechanics

In Earth-Surface Processes

Citations in the corpus

Current achievements and future perspectives for projection-based particle methods with applications in ocean engineering (2016, methodology): “The weakly compressible particle methods such as Weakly Compressible SPH (WCSPH; e.g. Colagrossi and Landrini (2003); Dalrymple and Rogers 2006) or Weakly Compressible MPS (WCMPS; e.g. Shakibaeinia and Jin 2012; Tayebi and Jin 2015)methods solve an appropriate equation of state in a fully explicit…”
Application of weakly compressible and truly incompressible SPH to 3-D water collapse in waterworks (2010, methodology): “Several methods have been developed to circumvent this; for example, MLS (Moving Least-Squares) interpolants (see Colagrossi and Landrini 2003) or Shepard filtering (see Dalrymple and Rogers 2006) or ISPH (Incompressible SPH) (see Lee et al. 2008).”
CHRONO: a parallel multi-physics library for rigid-body, flexible-body, and fluid dynamics (2013, neutral): “To increase the accuracy and stability of the simulation, an XSPH modification (Monaghan, 1989) and Shephard filtering (Dalrymple and Rogers, 2006) were applied.”
Smoothed Particle Hydrodynamics (SPH): an Overview and Recent Developments (2010, methodology): “The research group also investigated water waves and waves breaking using the SPH method [175, 189].”
Numerical modelling of complex turbulent free‐surface flows with the SPH method: an overview (2007, methodology): “A 3D large eddy simulation (LES) model was also applied to the collapse of a water column in a tank [8], while Shao and Gotoh [9] as well as Dalrymple and Rogers [10] applied a two-dimensional LES model to wave propagation and interaction with coastal defence.”
Corrected Incompressible SPH method for accurate water-surface tracking in breaking waves (2008, methodology): “Moreover, in the SPH-based calculations of Dalrymple and Rogers (2005) with a SPS turbulence model, the same disagreement seems to be present.”
State-of-the-art of classical SPH for free-surface flows (2010, methodology): “(55) and τ̃ represents the SPS stress tensor given by τ̃µν = ρ̄ ( 2υtS̃µµ − 2 3 S̃κκδµν − 2 3 CI l 2δµν ) (57) where CI = 0.0066, following (Dalrymple and Rogers 2006); l is the particle-particle spacing and the Favre-filtered rate of strain tensor is S̃µν = −1 2 ( ∂uµ ∂xν + ∂uν ∂xµ ) (58) A…”
A review on approaches to solving Poisson’s equation in projection-based meshless methods for modelling strongly nonlinear water waves (2016, background): “The first one is mainly adopted for SPH, e.g. Monaghan (1994), Dalrymple and Rogers (2006), Gomezgesteira et al. (2010) and so on.”