Grid-free solver has the ability to solve complex multi-body industrial problems with minimal effort. Grid-free Euler solver has been applied to number of multi-body aerospace vehicles using Chimera clouds of points including flight vehicle with fin deflection, nose fairing separation of hypersonic launch vehicle. A preprocessor has been developed to generate connectivity for multi-bodies using overlapped grids. Surface transpiration boundary condition has been implemented to model aerodynamic damping and to impose the relative velocity of moving components. Dynamic derivatives are estimated with reasonable accuracy and less effort using the grid-free Euler solver with the transpiration boundary condition. Further, the grid-free Euler solver has been integrated with six-degrees of freedom (6-DOF) equations of motion to form store separation dynamics suite which has been applied to obtain the trajectory of a rail launch air-to-air-missile from a complex fighter aircraft.

SUMMARYThis paper describes the theory and application of a grid-free kinetic upwind scheme known as LSKUM. The basic principle in LSKUM is the determination of derivatives occurring in the conservation laws using the least squares method. The grid-free nature of the scheme is obtained because the least squares method can be used on an arbitrary distribution of nodes, i.e. the nodes need not form a structured=unstructured grid.

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