A conservative treatment of zonal boundaries for Euler equation calculations
Journal of Computational Physics
Composite overlapping meshes for the solution of partial differential equations
Journal of Computational Physics
The discrete continuity equation in primitive variable solutions of incompressible flow
Journal of Computational Physics
A pressure-based composite grid method for the Navier-Stokes equations
Journal of Computational Physics
A fourth-order accurate method for the incompressible Navier-Stokes equations on overlapping grids
Journal of Computational Physics
A fully conservative interface algorithm for overlapped grids
Journal of Computational Physics
Zonal embedded grids for numerical simulations of wall-bounded turbulent flows
Journal of Computational Physics
Parallel 3D computation of unsteady flows around circular cylinders
Parallel Computing - Special issue on applications: parallel computing methods in applied fluid mechanics
Journal of Computational Physics
On Nonconservative Algorithms for Grid Interfaces
SIAM Journal on Numerical Analysis
Multi-block large-eddy simulations of turbulent boundary layers
Journal of Computational Physics
Moving overlapping grids with adaptive mesh refinement for high-speed reactive and non-reactive flow
Journal of Computational Physics
On numerical modeling of animal swimming and flight
Computational Mechanics
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A composite-grid numerical method is developed for simulating unsteady, three-dimensional (3D), incompressible flows in complex geometries. The governing equations are solved using a second-order accurate, finite-volume method based on the dual time-stepping artificial compressibility approach. Overset grids are employed to discretize arbitrarily complex geometries, and a new interface algorithm is developed to facilitate communication between neighboring grids. The algorithm is inspired by the necessary and sufficient conditions for satisfying global mass conservation in a composite domain and is simple to implement in 3D. Numerical experiments show that the new interpolation scheme is superior to straightforward, trilinear interpolation of all flow variables as it minimizes non-physical spurious oscillations in the overlap region, is less sensitive to grid refinement, and greatly enhances the computational efficiency of the iterative algorithm. The advantages of the new method are especially pronounced when adjacent overset subdomains are discretized with different spatial resolutions. The potential of the method as a powerful technique for simulating complex engineering flows is demonstrated by applying it to calculate vortex shedding from a circular cylinder mounted between two endplates and flow in a rectangular channel with two wall-mounted obstacles.