An implicit, variable-step technique for fluid dynamics problems

A variable-step, implicit time integration technique is proposed for the solution of 'stiff' equations for fluid motion. This technique releases the analyst from the burden of matrix refactorizations when the step-size is varied. The linearized stability and accuracy characteristics of the present technique are compared with those of the conventional approach. The comparisons show that the present technique suffers no instability problems and can accurately trace the dominant response components of stiff fluid systems.