| タイトル | Some aspects of high-order numerical solutions of the linear convection equation with forced boundary conditions |
| 著者（英） | Lomax, H.; Zingg, D. W. |
| 著者所属（英） | NASA Ames Research Center |
| 発行日 | 1993-01-01
1993 |
| 言語 | eng |
| 内容記述 | A six-stage low-storage Runge-Kutta time-marching method is presented and shown to be an efficient method for use with high-accuracy spatial difference operators for wave propagation problems. The accuracy of the method for inhomogeneous ordinary differential equations is demonstrated through numerical solutions of the linear convection equation with forced boundary conditions. Numerical experiments are presented simulating a sine wave and a Gaussian pulse propagating into and through the domain. For practical levels of mesh refinement corresponding to roughly ten points per wavelength, the six-stage Runge-Kutta method is more accurate than the popular fourth-order Runge-Kutta method. Further numerical experiments are presented which show that the numerical boundary scheme at an inflow boundary can be a significant source of error when high-accuracy spatial discretizations are used. |
| NASA分類 | NUMERICAL ANALYSIS |
| レポートNO | 93A45072
AIAA PAPER 93-3381 |
| 権利 | Copyright |
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