Thermodynamically admissible form for discrete hydrodynamics
arXiv:cond-mat/9901101 · doi:10.1103/PhysRevLett.83.4542
Abstract
We construct a discrete model of fluid particles according to the GENERIC formalism. The model has the form of Smoothed Particle Hydrodynamics including correct thermal fluctuations. A slight variation of the model reproduces the Dissipative Particle Dynamics model with any desired thermodynamic behavior. The resulting algorithm has the following properties: mass, momentum and energy are conserved, entropy is a non-decreasing function of time and the thermal fluctuations produce the correct Einstein distribution function at equilibrium.
4 pages
References in corpus (6)
- Dissipative Particle Dynamics with energy conservation
- Static and Dynamic Properties of Dissipative Particle Dynamics
- Dissipative Particle Dynamics with Energy Conservation
- From Molecular Dynamics to Dissipative Particle Dynamics
- Fokker-Planck-Boltzmann Equation for Dissipative Particle Dynamics
- Stochastic differential equations for non-linear hydrodynamics
Cited by in corpus (9)
- Perspective: Dissipative Particle Dynamics
- Simulating elliptic flow with viscous hydrodynamics
- Vapour-liquid coexistence in many-body dissipative particle dynamics
- Integration Schemes for Dissipative Particle Dynamics Simulations: From Softly Interacting Systems Towards Hybrid Models
- Foundations of Dissipative Particle Dynamics
- A diffuse-interface model for smoothed particle hydrodynamics
- GENERIC: Review of successful applications and a challenge for the future
- A smoothed dissipative particle dynamics methodology for wall-bounded domains
- Fluctuating Immersed Material (FIMAT) Dynamics for Fully Resolved Simulation of the Brownian Motion of Particles