Abstract

A new finite volume based thin-layer Navier-Stokes solver for time-dependent compressible flows is described. The implicit, temporally and spatially second-order accurate formulation facilitates the simulation of flows at high Reynolds numbers. Complex, arbitrarily deforming geometries can be handled using fully conservative multiblock structured grids. An iterative time-stepping utilizing a multigrid technique maintains the temporal and spatial accuracy of the basic scheme also at grid block interfaces and solid boundaries. Several test cases have been computed to verify the proper function of the developed code, and the simulations of a transonic buffet and an oscillating supercritical airfoil are presented here. The solver employing the three-level fully implicit time discretization scheme is found to work well in dynamic grids within the limitations of the original formulation. The new code has the desired capabilities, although there is room for improvement in computational efficiency.

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