Sonic Boom Prediction Using Euler / Full Potential Methodology

Sonic Booms of two different bodies, a double cone configuration and a modified F5E aircraft are predicted using Euler solvers for the near field, and a Full Potential Propagation method for the far field. Shock fitting and grid adaptation are used to enhance accuracy of computations. The far field propagation code using the full potential equation is the first three-dimensional CFD code in literature that can march the solution with atmospheric changes in temperature and pressure taken into account. The non-linearity and non-axisymmetry of the Full Potential propagation code are its superiorities against the available “state-of-the-art” prediction methods that utilize the linear “ray-tracing” approach. The following work presents a new sonic boom prediction methodology using three dimensional CFD, with comparisons to experimental results for the double cone and for the modified F-5E aircraft. There is excellent agreement between computational and experimental results. Nomencalture � = density 123 ,, uu u = cartesian velocity components e = energy per unit mass p = static pressure � = velocity potential � = gas index, taken to be 1.4 for air h = distance from aircraft

[1]  Peter G. Coen,et al.  Wind Tunnel Validation of Shaped Sonic Boom Demonstration Aircraft Design , 2005 .

[2]  S. Osher,et al.  An efficient, full-potential implicit method based on characteristics for supersonic flows , 1983 .

[3]  Richard Raspet,et al.  Comparison of computer codes for the propagation of sonic boom waveforms through isothermal atmospheres , 1996 .

[4]  Xudong Zheng,et al.  Comparison of Full-Potential Propagation-Code Computations with the F-5E "Shaped Sonic Boom Experiment" Program , 2005 .

[5]  Juliet Page,et al.  An efficient method for incorporating computational fluid dynamics into sonic boom prediction , 1991 .

[6]  James E. Murray,et al.  Ground Data Collection of Shaped Sonic Boom Experiment Aircraft Pressure Signatures , 2005 .

[7]  R. Pletcher,et al.  Computational Fluid Mechanics and Heat Transfer. By D. A ANDERSON, J. C. TANNEHILL and R. H. PLETCHER. Hemisphere, 1984. 599 pp. $39.95. , 1986, Journal of Fluid Mechanics.

[8]  R. Seebass,et al.  SONIC BOOM MINIMIZATION , 1998 .

[9]  Kwan-Liu Ma,et al.  3D shock wave visualization on unstructured grids , 1996, Proceedings of 1996 Symposium on Volume Visualization.

[10]  H. E. Kulsrud,et al.  SONIC BOOM PROPAGATION IN A STRATIFIED ATMOSPHERE, WITH COMPUTER PROGRAM. , 1969 .

[11]  Stephen A. Whitmore,et al.  Preliminary airborne measurements for the SR-71 sonic boom propagation experiment , 1995 .

[12]  S. Cheung,et al.  Application of computational fluid dynamics to sonic boom near- and mid-field prediction , 1992 .

[13]  Jean-Yves Trépanier,et al.  A Conservative Shock Fitting Method on Unstructured Grids , 1996 .

[14]  C. L. Thomas Extrapolation of sonic boom pressure signatures by the waveform parameter method , 1972 .

[15]  Scott D. Thomas,et al.  Euler/experiment correlations of sonic boom pressure signatures , 1991 .

[16]  Robert J. Mack,et al.  A wind-tunnel investigation of the effect of body shape on sonic-boom pressure distributions , 1965 .

[17]  James E. Murray,et al.  Airborne Shaped Sonic Boom Demonstration Pressure Measurements with Computational Fluid Dynamics Comparisons , 2005 .