Adaptive Smoothed Particle Hydrodynamics, with Application to Cosmology: Methodology

Modelling and Simulation of Cratering and Ejecta Production During High Velocity Impacts

“…Furthermore, as each node is guaranteed to remain strictly Lagrangian, sub-scale damage models can be robustly employed which accurately represent material damage throughout the material at both macro-and microscales. To this end, we employ an Adaptive Smooth Particle Hydrodynamics (ASPH) formalism following [7,10,14,15]. ASPH updates the equations of conservation of mass and momentum according to Mass and mass density are denoted by m i and i respectively.…”

A kernel free particle‐finite element method for hypervelocity impact simulation

“…Continuum methods [8] employ either an Eulerian hydrodynamic [9,10] or a Lagrangian finite element [11] 3 Graduate research assistant 4 Professor, corresponding author, phone: (512) 471-3064, email: epfahren@mail.utexas.edu approach, or some Arbitrary Lagrangian-Eulerian (ALE) based generalization of these techniques [12,13]. A large majority of particle codes employ a smooth particle hydrodynamics (SPH) technique [14,15,16], although some alternative particle based methods have been proposed [17]. Some disadvantages of pure continuum or pure particle based methods [18] have motivated the development of mixed continuum-particle formulations [4,19,20].…”

An ellipsoidal particle–finite element method for hypervelocity impact simulation

“…The present paper develops a generalized hybrid method, extending the work of Fahrenthold and Horban [6], presenting for the first time a combined particle-element formulation based on a nonspherical particle geometry. Nonspherical particle formulations are also of interest in certain molecular dynamics [8] and astrophysics [9,10] applications, where material or flowfield geometry has suggested the use of repulsion potentials or interpolation kernels with ellipsoidal forms.…”

“…The overwhelming majority of particle based hypervelocity impact models have employed SPH techniques and spherical kernels. A notable exception is the work of Shapiro and co-workers [9,10], who extended the basic SPH method to ellipsoidal kernels. However those authors indicate that their method fails to conserve angular momentum, and they offer no solutions to the tensile instability, numerical fracture, and other problems which have hindered the effective use of SPH methods in some applications.…”