A two-step iterative method for evolving nonlinear acoustic systems to a steady-stateA new approach for evolving two-dimensional nonlinear acoustic systems with flow to a steady state is presented. The approach is a two-step iterative method which is tested on a benchmark acoustic problem for which an exact analytical solution is available. Results are also calculated for a nonlinear acoustic problem for which an exact analytical solution is not known. Results indicate that the two-step method represents a powerful, efficient, and stable method for evolving two-dimensional acoustic systems to a steady state, and that the method is applicable to any number of spatial dimensions and to other hyperbolic systems. It is noted that for the benchmark problem only a single iteration on the method is required when the transient and steady-state field are of the same order of magnitude; however, four iterations are required when the steady-state field is several orders of magnitude smaller than the transient field. This method requires six iterations before achieving a steady state for the nonlinear test problem.
Document ID
19910027839
Acquisition Source
Legacy CDMS
Document Type
Conference Paper
Authors
Watson, Willie R. (NASA Langley Research Center Hampton, VA, United States)
Myers, Michael K. (George Washington University Hampton, VA, United States)