2001 journal article

An accurate, fast, matrix-free implicit method for computing unsteady flows on unstructured grids

COMPUTERS & FLUIDS, 30(2), 137–159.

By: H. Luo*, J. Baum & R. Lohner

Source: Web Of Science
Added: August 6, 2018

Abstract An accurate, fast, matrix-free implicit method has been developed to solve the 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 fast, matrix-free implicit method is then used to obtain the steady-state solution to the pseudo-time system. The developed method is applied to compute 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.