Higher-order characteristics-based method for incompressible flow computation on unstructured grids

Parallel unsteady incompressible viscous flow computations using an unstructured multigrid method

“…Similar to the approach in [20] for compressible flow and that in [19] for incompressible flow on structured grids, a high-order characteristics-based scheme for incompressible flow and heat transfer on arbitrary unstructured grids has been developed in [21,33]. This method is used for the discretization of the convective part of the Navier-Stokes equations.…”

Parallel computation of unsteady three-dimensional incompressible viscous flow using an unstructured multigrid method

“…Similar to the approach in [12] for compressible flow and that in [13] for incompressible flow on structured grids, a high-order characteristics-based scheme for incompressible flow and heat transfer on arbitrary unstructured grids has been developed in [9,14]. This method is used for the discretization of the convective part of the Navier-Stokes equations.…”

“…This is actually the solution of Eq. (9). Hence, the original unsteady Navier-Stokes equations are fully recovered.…”

“…For every vertex, as shown in Fig. 1, a control volume is constructed by joining the centres of the cells to the centres of the edges using the median dual of the tetrahedral grid [9]. Spatial discretization is performed by using the integral form of the conservation equations over the control volume surrounding node or vertex P, as shown in the following equation,…”

A 3D implicit unstructured-grid finite volume method for structural dynamics

“…For every vertex, a control volume is constructed using the median dual of the tetrahedral mesh [14]. In Fig.…”