Discrete models for the numerical analysis of time-dependent multidimensional gas dynamics
Journal of Computational Physics
A numerical method for solving incompressible viscous flow problems
Journal of Computational Physics - Special issue: commenoration of the 30th anniversary
Preconditioned multigrid methods for unsteady incompressible flows
Journal of Computational Physics
A nonlinear multigrid method for the three-dimensional incompressible Navier-Stokes equations
Journal of Computational Physics
On spurious vortical structures
Journal of Computational Physics
Comparison of implicit multigrid schemes for three-dimensional incompressible flows
Journal of Computational Physics
Parallel unsteady incompressible viscous flow computations using an unstructured multigrid method
Journal of Computational Physics
Incompressible Navier-Stokes method with general hybrid meshes
Journal of Computational Physics
Short note: Revision of the characteristics-based scheme for incompressible flows
Journal of Computational Physics
An immersed boundary method for complex incompressible flows
Journal of Computational Physics
On the finite-volume Lattice Boltzmann modeling of thermo-hydrodynamics
Computers & Mathematics with Applications
Journal of Computational and Applied Mathematics
Hi-index | 31.45 |
In this paper, the multidimensional characteristic based upwind scheme (MCB) which has been recently introduced by the authors is applied to two another benchmark problems namely flow in a channel with a backward facing step and two-dimensional steady and unsteady flows past a circular cylinder. Extension of MCB scheme for calculating convective fluxes on non-Cartesian grids is presented here. For the flow over backward facing step, obtained results were compared against well-known experimental data and the results show high accuracy of MCB scheme and faster convergence rate with respect to conventional CB scheme. In the case of flow over circular cylinder, the flow at steady and transient regimes is investigated by MCB scheme. Again, the results obtained by MCB are compared to the other results in the literature and show good agreement with them. Also, rapid convergence rate of MCB was observed in this case too. It is concluded that, the genuinely multidimensional characteristic based (MCB) scheme, has been introduced earlier by the authors, is a robust and powerful scheme for modeling incompressible viscous flows for achieving the high accuracy and remarkable advantage in convergence rate with respect to conventional characteristic based schemes.