A High Performance Computing (HPC) approach to the Smoothed
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A High Performance Computing (HPC) approach to the Smoothed
Nov 8, 2013 - to the Smoothed Particle Hydrodynamics (SPH) method .... for markers close to the boundaries, i.e., the free surface, solid, and wall. However, Eq. (4) does .... Atkinson, K.E., An introduction to numerical analysis. 1989, John ...
Technical Report TR-2013-4
A High Performance Computing (HPC) approach to the Smoothed Particle Hydrodynamics (SPH) method
Arman Pazouki, Dan Negrut
November 8, 2013
Abstract This document describes the fundamentals of Smoothed Particle Hydrodynamics (SPH) for fluid flow simulations. A High Performance Computing (HPC) relying on GPU implementation is described and tested. Further descriptions and tests can be found in our peer-reviewed publications. The Smoothed Particle Hydrodynamics method An in-depth discussion of the SPH method and recent developments can be found in [1-3]. Here we only highlight the fundamentals of the methodology required for fluid flow simulation. Smoothed Particle Hydrodynamics is a Lagrangian method that probes the fluid domain at a set of moving markers, each of which has a specified domain of influence. In this document, the term “marker” denotes an SPH discretization point that has an associated kernel function with a compact support, see Figure 1. The choice of kernel function W is not unique. In this work, (2 − q )3 − 4(1 − q )3 , 1 W (r , h) = × (2 − q )3 , 3 4π h 0,
