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An accurate, fast, matrix-free implicit method for computing unsteady flows on unstructured grids. (English) Zbl 0983.76056
Summary: We develop an accurate, fast, matrix-free implicit method to solve three-dimensional compressible unsteady flows on unstructured grids. A nonlinear system of equations as a result of a fully implicit temporal discretization is solved at each time step using a pseudo-time marching approach. A newly developed method is then used to obtain the steady-state solution to the pseudo-time system. The method is applied to a variety of unsteady flow problems involving moving boundaries. The numerical results obtained indicate that the use of the present implicit method leads to a significant increase in performance over its explicit counterpart, while maintaining a similar memory requirement.

MSC:
76M12 Finite volume methods applied to problems in fluid mechanics
76N15 Gas dynamics, general
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