What is smoothed-particle hydrodynamics?

Smoothed-particle hydrodynamics is a computational method used to simulate continuum media like fluid flows and solid mechanics. Developed in 1977 primarily for astrophysics, it is a meshfree Lagrangian method where coordinates move with the fluid. Properties are assigned to moving nodes instead of fixed mesh elements, allowing the resolution to adjust based on variables like density.

What we know

• Smoothed-particle hydrodynamics is a computational method used for simulating the mechanics of continuum media such as solid mechanics and fluid flows. [1, 2]
• The method was developed by Gingold and Monaghan and Lucy in 1977, initially for solving astrophysical problems. [2]
• It is a meshfree Lagrangian method where coordinates move with the fluid and resolution can be adjusted according to variables like density. [2]
• Because it is a meshfree method, properties such as mass or kinetic energy are assigned to single nodes interacting with their neighbors rather than fixed mesh elements. [4]

Where to go next

• how it workedHow do meshfree methods work without a grid?
• the bigger pictureWhat are particle methods in scientific computing?
• a case in pointHow is smoothed-particle hydrodynamics applied in astrophysics?
• whenWhen was smoothed-particle hydrodynamics invented?
• compared withHow does Eulerian fluid simulation compare to Lagrangian methods?
• an unexpected connectionHow do random sampling algorithms relate to deterministic physics simulations?Both smoothed-particle hydrodynamics and Monte Carlo methods represent broad computational approaches used to model complex physical phenomena that are too difficult for standard mathematical analysis.

Sources

• [1]Smoothed-particle hydrodynamics (Wikidata Q733073) · CC0 1.0
• [2]Smoothed-particle hydrodynamics · CC BY-SA 4.0
• [3]Particle method · CC BY-SA 4.0
• [4]Meshfree methods · CC BY-SA 4.0
• [5]Monte Carlo method · CC BY-SA 4.0