Vlasov–Fokker–Planck equationscompressible flowsweak solutionsGalerkin methodA fluid–particles system of the compressible Navier-Stokes equations and Vlasov-Fokker-Planck equation (including the case of Vlasov equation) in three-dimensional space is considered in this paper. The coupling arises ...
International Journal for Numerical Methods in Fluids, 79, 1-15. https://doi.org/10.1002/fld.4036P. J. Attar, Jacobian-free Newton-Krylov method for implicit time- spectral solution of the compressible Navier-Stokes equations, Int. J. Numer. Meth. Fluids 79 (2015) 1....
2.1. Governing Equations Firstly, the whole calculation domain is assumed to be a compressible viscous two-phase flow, and the energy equation is not considered. The continuity equation and Navier–Stokes (N–S) equations are chosen: ∂𝜌∂𝑡+∇·(𝜌𝑢)=0∂ρ∂t+∇·(ρu)...
In the filtered Navier–Stokes model, by taking the zero Mach number limit of the compressible equations, a set of elliptic equations is obtained where the acoustic waves are removed from the model; thermodynamically, the density does not depend on the dynamical part of the pressure. There are...
2.1. Governing Equations Firstly, the whole calculation domain is assumed to be a compressible viscous two-phase flow, and the energy equation is not considered. The continuity equation and Navier–Stokes (N–S) equations are chosen: ∂𝜌∂𝑡+∇·(𝜌𝑢)=0∂ρ∂t+∇·(ρu)...