Voronoi Fluid Particles & Tessellation Fluid Dynamics
نویسندگان
چکیده
We formalize the concept of fluid particle that it is heuristically introduced in textbooks of fluid mechanics. Fluid particles are regarded as portions of fluid that move along the flow field and they have an extension. A natural way of assigning an extension to a set of points is through a tessellation. With a minimum of physical input information a well-defined discrete fluid particle model emerges. In the process, discrete differential operators based on the volume associated to the fluid particles appear. We identify a set of basic properties that the volume of the fluid particle should satisfy in order for these discrete operators to be exact when applied to linear fields, for arbitrary arrangements of the particles. The Voronoi volume and the Smoothed Particle Hydrodynamic volume are investigated, and a further option based on the volume of the “Delaunay cell” is proposed. We show how the Voronoi fluid particle model can be used to study features of turbulence, and suggests its usefulness for the modeling of complex fluids.
منابع مشابه
Dynamical geometry for multiscale dissipative particle dynamics
In this paper, we review the computational aspects of a multiscale dissipative particle dynamics model for complex fluid simulations based on the feature-rich geometry of the Voronoi tessellation. The geometrical features of the model are critical since the mesh is directly connected to the physics by the interpretation of the Voronoi volumes of the tessellation as coarse-grained fluid clusters...
متن کاملMesoscopic dynamics of Voronoi fluid particles
We compare and contrast two recently reported mesoscopic fluid particle models based on a two-dimensional Voronoi tessellation. Both models describe a Newtonian fluid at mesoscopic scales where fluctuations are important. From the requirement of thermodynamic consistency, the equilibrium distribution function is given through the Einstein distribution function. We compute from the Einstein dist...
متن کاملVoronoi Fluid Particle Model for Euler Equations
We present a fluid particle model based on the Voronoi tessellation that allows one to represent an inviscid fluid in a Lagrangian description. The discrete model has all the required symmetries and structure of the continuum equations and can be understood as a linearly consistent discretization of Euler’s equations. Although the model is purely inviscid, we observe that the probability distri...
متن کاملVoronoi diagram: An adaptive spatial tessellation for processes simulation
Modelling and simulation of spatial processes is increasingly used for a wide variety of applications including water resources protection and management, meteorological prevision and forest fire monitoring. As an example, an accurate spatial modelling of a hydrological system can assist hydrologists to answer questions such as: "where does ground water come from?", “how does it travel through ...
متن کاملCentroidal Voronoi Diagrams and Euler-Lagrangian Methods for Astrophysical Simulations
Large scale cosmological simulations such as galaxy and star formation are of great interest to cosmologists. These simulations are done by consideration of relativistic, compressible, discontinuous fluids. Many techniques from particle based to adaptive meshing have been explored, each with advantages and disadvantages. Here, the limitations of centroidal Voronoi tessellations with these astro...
متن کامل