Preconditioned methods for solving the incompressible low speed compressible equations
Journal of Computational Physics
An implicit upwind algorithm for computing turbulent flows on unstructured grids
Computers and Fluids
A 3-D finite-volume method for the Navier-Stokes equations with adaptive hybrid grids
Applied Numerical Mathematics - Special issue on adaptive mesh refinement methods for CFD applications
Implicit/multigrid algorithms for incompressible turbulent flows on unstructured grids
Journal of Computational Physics
Unsteady flow structure interaction for incompressible flows using deformable hybrid grids
Journal of Computational Physics
On some numerical dissipation schemes
Journal of Computational Physics
Journal of Computational Physics
Multi-material interface reconstruction on generalized polyhedral meshes
Journal of Computational Physics
Multidimensional upwinding for incompressible flows based on characteristics
Journal of Computational Physics
Journal of Computational Physics
An adaptive discretization of incompressible flow using a multitude of moving Cartesian grids
Journal of Computational Physics
Hi-index | 31.48 |
A new incompressible Navier-Stokes numerical method is presented, capable of utilizing general hybrid meshes containing all four types of three-dimensional elements: hexahedra, prisms, tetrahedra, and pyramids. It is an artificial compressibility type of method using dual time stepping for time accuracy. The presented algorithms for (i) spatial discretization, (ii) time integration, and (iii) parallel implementation are transparent to the different types of elements. Further, the presence of grid interfaces between the multiple types of elements does not deteriorate accuracy of the solution. Efficient evaluation of the viscous terms is addressed via a special technique that avoids multiple spatial integration of the same edge of the mesh. An upwind spatial discretization, and a central scheme with two different formulations of the artificial dissipation operator are tested with the general hybrid meshes. Use of local blocks of hexahedra is evaluated in terms of accuracy and efficiency via simulations of high Reynolds number flows. Finally, the developed methods are implemented in parallel using partitioned general hybrid meshes and an efficient parallel communication scheme to minimize CPU time.