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 Vlaso
At the same time, the current scheme solves the Navier-Stokes equations automatically due to combined inviscid and viscous flux terms from a single time evolution gas distribution function at a cell interface. Due to the use of multi-stage multi-derivative (MSMD) time-stepping technique, for ...
The formulation involves finite element approximation of linearized Navier–Stokes equations and response determination made by means of modal superposition analysis. Standard and simplified schemes of the viscous compressible fluid–structure interaction problem solution are developed. The schemes are based on...
We proposed the modification of the energy conservation equation used in Reynolds Averaged Navier–Stokes (RANS) numerical simulations. While the additional turbulent heat transfer mechanism caused by gas compressibility is taken into account in the proposed equation, it is not applied in standard RANS...
P. J. Attar, Jacobian-free NewtonKrylov method for implicit time- spectral solution of the compressible Navier-Stokes equations, Int. J. Numer. Meth. Fluids 79 (2015) 1.P. J. Attar, Jacobian-free Newton-Krylov method for implicit time- spectral solution of the compressible Navier-Stokes ...