On the use of higher-order finite-difference schemes on curvilinear and deforming meshes
Journal of Computational Physics
High order accurate solution of the incompressible Navier-Stokes equations
Journal of Computational Physics
A staggered compact finite difference formulation for the compressible Navier-Stokes equations
Journal of Computational Physics
Principles of Computational Fluid Dynamics
Principles of Computational Fluid Dynamics
Simulation and measurement of flow generated noise
Journal of Computational Physics
A high-resolution code for turbulent boundary layers
Journal of Computational Physics
| Hi-index | 31.45 |
In a previous paper we have developed a staggered compact finite difference method for the compressible Navier-Stokes equations. In this paper we will extend this method to the case of incompressible Navier-Stokes equations. In an incompressible flow conservation of mass is ensured by the well known pressure correction method [7,21]. The advection and diffusion terms are discretized with 6th order spatial accuracy. The discrete Poisson equation, which has to be solved in the pressure correction step, has the same spatial accuracy as the advection and diffusion operators. The equations are integrated in time with a third order Adams-Bashforth method. Results are presented for a 1D advection-diffusion equation, a 2D lid driven cavity at a Reynolds number of 1000 and 10,000 and finally a 3D fully developed turbulent duct flow at a bulk Reynolds number of 5400. In all cases the methods show excellent agreement with analytical and other numerical and experimental work.