A second-order time-accurate finite volume method for unsteady incompressible flow on hybrid unstructured grids. (English) Zbl 0985.76060

From the summary: We present a second-order time-accurate fractional step method for solving unsteady incompressible Navier-Stokes equations on hybrid unstructured grids. A nonstaggered grid method is employed to enforce mass conservation on hybrid unstructured grids. The pressure and Cartesian veiocity components are defined at the center of each cell, while the face-normal velocities are defined at the mid-points of the corresponding cell faces. A second-order fully implicit time-advancement scheme is used for time integration, and the resulting nonlinear equations are linearized without losing the overall time accuracy. Both momentum and Poisson equations are integrated with finite volume method, and flow variables at the cell face are obtained using an interpolation scheme independent of cell shape. The numerical method is applied to four different benchmark problems, and proves to be accurate and efficient.


76M12 Finite volume methods applied to problems in fluid mechanics
76D05 Navier-Stokes equations for incompressible viscous fluids
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