Runge-Kutta methods combined with compact difference schemes for the unsteady Euler equationsAn investigation of the Runge-Kutta time-stepping, combined with compact difference schemes to solve the unsteady Euler equations, is presented. Initially, a generalized form of a N-step Runge-Kutta technique is derived. By comparing this generalized form with its Taylor's series counterpart, the criteria for the three-step and four-step schemes to be of third- and fourth-order accurate are obtained.
Document ID
19920071391
Acquisition Source
Legacy CDMS
Document Type
Conference Paper
Authors
Yu, S. T. (NASA Lewis Research Center Cleveland, OH, United States)
Tsai, Y.-L. P. (NASA Lewis Research Center Cleveland, OH, United States)
Hsieh, K. C. (Sverdrup Technology, Inc., Brook Park; NASA, Lewis Research Center Cleveland, OH, United States)