We discretize the incompressible Navier–Stokes equations on a polytopal mesh by using mimetic reconstruction operators. The resulting method conserves discrete mass, momentum, and kinetic energy in the inviscid limit, and determines the vorticity such that the global vorticity is consistent with the ...
Results We generate a statistically stationary, homogeneous, isotropic flow of a dilute polymer solution by the DNS of the Navier-Stokes equations coupled to the evolution of polymers described by the Oldroyd-B model: ρf(∂tuα+uβ∂βuα)=−∂αp+∂β(2μfSαβ+μpτpCαβ)+...
Another set of methods to solve the Navier-Stokes equation are particle-based [e.g., the Lattice-Boltzmann method (LBM)]. The LB scheme employs a simple form ofthe Boltzmann kinetic equation to recover the macroscopic hydrodynamic behavior of fluids.75 The main idea is that fluid flow, which...
There’s a set of equations describing motion of fluids and what they do is conserve momentum in 3 directions (x,y,z) – these are the Navier-Stokes equations, and they conserve mass. Then there are also equations to conserve humidity and heat. There is an exact solution to the equations...
whereCis the solute concentration,tis time,\mathbf{u}is the fluid velocity, andDis the diffusivity of the solute. Here we will consider only cases in which the velocity is known, so we need not be concerned with solving the Navier-Stokes equation that governs the flow. We shall consider pu...
a n2 0 0 7 On the scaling properties of 2d randomly stirred Navier–Stokes equation Andrea Mazzino ∗ Department of Physics, University of Genova, and INFN, CNISM, Genova Section, Via Dodecaneso 33, I–16146 Genova, Italy, Paolo Muratore-Ginanneschi ...
(Wu and Davidson1972; Vasyliunas and Siscoe1976). Multiple demonstrations of this are provided by the turbulence transport models and cascade rates computed on the basis of the MHD extensions of the Navier-Stokes theory. Shears, shocks, and coherent structures also play important roles, thus ...
By fully coupling the temperature and humidity field surrounding the respiratory droplets to the Navier–Stokes equation, direct numerical simulation is sufficient to provide a much more accurate prediction of respiratory droplets’ transport and trajectories in a turbulent jet (Chong et al. 2021; ...
Lattice Boltzmann model for the incompressible Navier-Stokes equation. J. Stat. Phys. 88, 927–944 (1997). 52. Rabbani, H. S., Zhao, B., Juanes, R. & Shokri, N. Pore geometry control of apparent wetting in porous media. Sci. Rep. 8, 15729 (2018). 53. Hu, R., Wan, J., ...
The viscous flow theory has gradually become the main method to study the bubble collapse dynamic behaviors due to its excellent performance of simulating viscosity effect and rebounded bubble shapes. Its main idea is to solve the Navier-Strokes (N-S) equation, as well as the two-phase flow ...