An immersed-boundary (IB) method is proposed and applied in the gas-kinetic BGK scheme to simulate incompressible/compressible viscous flow with stationary/moving boundary. In present method the ghost-cell technique is adopted to fulfill the boundary condition on the immersed boundary. A novel idea “local boundary determination” is put forward to identify the ghost cells, each of which may have...

In the present study, commonly used weakly compressible lattice Boltzmann method and Guo incompressible lattice Boltzmann method have been used to simulate fluid flow in a stirred tank. For this purpose a 3D Parallel code has been developed in the framework of the lattice Boltzmann method. This program has been used for simulation of flow at different geometries such as 2D channel fluid flow an...

We consider the flow of the mixture of viscous, heat-conducting, compressible fluids consisting of n different components, each of which has its own density, pressure, and molecular weight but all components having the same velocity and temperature. The mathematical model presented here relies on fundamental principles of continuum mechanics and combustion, where the balance laws, the constitut...

A reconstruction-based discontinuous Galerkin (RDG) method is presented for the solution of the compressible Navier-Stokes equations on arbitrary grids. The RDG method, originally developed for the compressible Euler equations, is extended to discretize viscous and heat fluxes in the Navier-Stokes equations using a so-called inter-cell reconstruction, where a smooth solution is locally reconstr...

A fully explicit two-dimensional flow solver, based on a four-stage Runge-Kutta scheme, has been developed and utilized to predict two-dimensional viscous flow through turbomachinery cascades for which experimental data is available. The formulation is applied to the density averaged Navier-Stokes equations. Several features of the technique improve the ability of the code to predict high Reyno...

The space-time discontinuous Galerkin discretization of the compressible NavierStokes equations results in a non-linear system of algebraic equations, which we solve with a local pseudo-time stepping method. Explicit Runge-Kutta methods developed for the Euler equations are unsuitable for this purpose as a severe stability constraint linked to the viscous part of the equations must be satisfied...

We consider the motion of a viscous compressible and heat conducting fluid confined in gap between two rotating cylinders (Taylor–Couette flow). The temperature is fixed but not necessarily constant. show that problem admits time-periodic solution as soon ratio angular velocities rational number.

The problem of compressible boundary-layer laminar flow of a particulate suspension over a semi-infinite fiat plate is solved numerically using the finite-difference methodology. The mathematical model employed includes such effects as particle-phase viscous stresses, variable position-dependent particle slip coefficient, and general power-law viscositytemperature and thermal conductivity-tempe...

In the numerical simulation of inviscid and viscous compressible fluid flow, implicit Newton-Krylov methods are frequently used. A crucial ingredient of Krylov subspace methods is the evaluation of the product of the Jacobian matrix of the spatial operator, e.g., fluxes, and a Krylov vector. In this article we consider a matrix-free implementation of the Jacobian-vector product within the flow ...

There are several sources for pressure oscillations in solid propellant rocket motors. Oscillatory flow field is one of them. Free shear layers in motor flow field cause vortex shedding. End edges of propellant grains and baffle edge in two-segmented motors are samples of such zones. These vortices move from their forming points and strike the field walls. The kinetic energy of vortices change ...