Moving least‐squares particle hydrodynamics II: conservation and boundaries

By G. Dilts. 2000

245 citations recorded by the source corpus.

Subfields: Computational Mechanics, Materials Chemistry

View Paper: https://www.semanticscholar.org/paper/b1d7bd4a21b280b1ed486ad5a16a19272143f829

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In Computational Mechanics

In Materials Chemistry

Citations in the corpus

Stable particle methods based on Lagrangian kernels (2004, methodology): “Dilts [15–17] developed SPH methods based on MLS approximations and extensively studied the issue of local conservation properties.”
Improved SPH methods for simulating free surface flows of viscous fluids (2009, methodology): “Dilts [11,12] introduced the moving least square approximation into SPH computations.”
Reformulation of Smoothed Particle Hydrodynamics with Riemann Solver (2002, methodology): “In the MLSPH scheme by Dilts, an equation analogous to Eq.”
Simulation of high velocity concrete fragmentation using SPH/MLSPH (2003, background): “[3], Dilts [5], Johnson [8] or Randles et al.”
Meshfree and finite element nodal integration methods (2008, background): “of linear momentum can be attained with the SPHmethod and other collocation methods but angular momentum is not conserved for solid mechanics as noted in [20] and nicely illustrated in [21].”
A New Implementation of the Meshless Finite Volume Method, Through the MLPG "Mixed" Approach (2004, methodology): “Since the standard SPH method has the problem to interpolate exactly when the particles are unevenly spaced and sized, many improvements were made to improve the completeness of the SPH approximation, such as the normalization [Johnson and Beissel (1996)] and the MLS approximation [Dilts (1999)].”
A unified stability analysis of meshless particle methods (2000, background): “However, as pointed out by Dilts [20], this discretization does not conserve momentum for a particle pair.”
A three dimensional large deformation meshfree method for arbitrary evolving cracks (2007, methodology): “Randles and Libersky [40, 41], Dilts [17, 18]), an Eulerian kernel is used: wJ(x) = w(x − xJ(t), h(x, t)).”
CHRONO: a parallel multi-physics library for rigid-body, flexible-body, and fluid dynamics (2013, unknown): “Smoothed Particle Hydrodynamics (SPH) (Lucy, 1977; Gingold and Monaghan, 1977; Monaghan, 2005), its modifications (Monaghan, 1989; Dilts, 1999), and variations (Koshizuka et al.”