A calculation procedure for three-dimensional steady recirculating flows using multigrid methods
Computer Methods in Applied Mechanics and Engineering
Effects of the computational time step on numerical solutions of turbulent flow
Journal of Computational Physics
Fully conservative higher order finite difference schemes for incompressible flow
Journal of Computational Physics
High order finite difference schemes on non-uniform meshes with good conversation properties
Journal of Computational Physics
Conservation properties of unstructured staggered mesh schemes
Journal of Computational Physics
Highly energy-conservative finite difference method for the cylindrical coordinate system
Journal of Computational Physics
Simulating water and smoke with an octree data structure
ACM SIGGRAPH 2004 Papers
Mathematics and Computers in Simulation - Special issue: Wave phenomena in physics and engineering: New models, algorithms, and appications
Journal of Computational Physics
Numerical Convergence Study of Nearly Incompressible, Inviscid Taylor-Green Vortex Flow
Journal of Scientific Computing
Journal of Computational Physics
A staggered grid, high-order accurate method for the incompressible Navier-Stokes equations
Journal of Computational Physics
Journal of Computational Physics
Journal of Computational Physics
Finite volume flow simulations on arbitrary domains
Graphical Models
A fractional step method for solving the compressible Navier-Stokes equations
Journal of Computational Physics
Journal of Computational Physics
Journal of Computational Physics
Journal of Computational Physics
Staggered grids for three-dimensional convection of a multicomponent fluid in a porous medium
Computers & Mathematics with Applications
Energy-conserving Runge-Kutta methods for the incompressible Navier-Stokes equations
Journal of Computational Physics
On a robust ALE method with discrete primary and secondary conservation
Journal of Computational Physics
Journal of Computational Physics
A conservative finite difference scheme for Poisson---Nernst---Planck equations
Journal of Computational Electronics
Hi-index | 31.51 |
A second-order-accurate finite difference discretization of the incompressible Navier-Stokes is presented that discretely conserves mass, momentum, and kinetic energy (in the inviscid limit) in space and time. The method is thus completely free of numerical dissipation and potentially well suited to the direct numerical simulation or large-eddy simulation of turbulent flow. The method uses a staggered allangement of velocity and pressure on a structured Cartesian grid and retains its discrete conservation properties for both uniform and nonuniform gird spacing. The predicted conservation properties are confirmed by inviscid simulations on both uniform and nonuniform grids. The capability of the method to resolve turbulent flow is demonstrated by repeating the turbulent channel flow simulations of H. Choi and P. Moin (1994, J. Comput. Phys. 113, 1), where the effect of computational time step on the computed turbulence was investigated. The present fully conservative scheme achieved turbulent flow solutions over the entire range of computational time steps investigated (Δt+=Δtuτ2/ν=0.4 to 5.0). Little variation in statistical turbulence quantities was observed up to Δt+=1.6. The present results differ significantly from those reported by Choi and Moin, who observed significant discrepancies in the turbulence statistics above Δt+=0.4 and the complete laminarization of the flow at and above Δt+=1.6.