Block-implicit multigrid solution of Navier-Stokes equations in primitive variables
Journal of Computational Physics
Hopf bifurcation in the driven cavity
Journal of Computational Physics
High accuracy solutions of incompressible Navier-Stokes equations
Journal of Computational Physics
The ULTIMATE conservative difference scheme applied to unsteady one-dimensional advection
Computer Methods in Applied Mechanics and Engineering
SIAM Journal on Scientific and Statistical Computing
Several new numerical methods for compressible shear-layer simulations
Applied Numerical Mathematics
Simulation of cavity flow by the lattice Boltzmann method
Journal of Computational Physics
A Compact Fourth-Order Finite Difference Scheme for Unsteady Viscous Incompressible Flows
Journal of Scientific Computing
A Central-Difference Scheme for a Pure Stream Function Formulation of Incompressible Viscous Flow
SIAM Journal on Scientific Computing
Accurate ω-ψ spectral solution of the singular driven cavity problem
Journal of Computational Physics
High order accurate solution of the incompressible Navier-Stokes equations
Journal of Computational Physics
Journal of Scientific Computing
A high-order incompressible flow solver with WENO
Journal of Computational Physics
Journal of Computational Physics
Journal of Scientific Computing
Hi-index | 31.46 |
In this paper, we propose an implicit high-order compact (HOC) finite-difference scheme for solving the two-dimensional (2D) unsteady Navier-Stokes (N-S) equations on irregular geometries on orthogonal grids. Our scheme is second order accurate in time and fourth order accurate in space. It is used to solve three pertinent fluid flow problems, namely, the flow decayed by viscosity, the lid-driven square cavity and the flow in a constricted channel. It is seen to efficiently capture both transient and steady-state solutions of the N-S equations with Dirichlet as well as Neumann boundary conditions. Apart from including the good features of HOC schemes, our formulation has the added advantage of capturing transient viscous flows involving free and wall bounded shear layers which invariably contain spatial scale variations. Detailed comparison data produced by the scheme for all the three test cases are provided and compared with analytical as well as established numerical results. Excellent comparison is obtained in all the cases.