## An analysis of shock coalescence including three-dimensional effects with application to sonic boom extrapolationChristine M. Darden, United States. National Aeronautics and Space Administration. Scientific and Technical Information Office, Langley Research Center National Aeronautics and Space Administration, Scientific and Technical Information Office, 1984 - Science - 66 pages |

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### Contents

INTRODUCTION | 1 |

COALESCENCE OF SHOCKS | 12 |

SPATIAL DERIVATIVES NEEDED FOR ASYMMETRIC SOLUTION | 29 |

2 other sections not shown

### Common terms and phrases

aircraft altitude angle of attack ARAP program ARAP results asymmetric effects asymmetric solution axisymmetric body of revolution boom propagation method bow shock circumferential direction coalescence solution comparison computational continuity equation coordinate curvature defined below equation derivative with respect derivatives in regions determine embedded shocks enthalpy entropy equa equations 2.16 equations 2.3 error criterion Error(N Error(N-l experimental data flow equations governing equations ground signatures included input intersection point isentropic iteration lifting forces low-boom Mach numbers method of characteristics method of reference MMOC program MMOC signature MUAM and ARAP MUAM program near-field one-half body lengths opposite family plane of symmetry pressure signatures reference 25 resultant shock second derivative shock angle shock coalescence shock intersection shock surfaces shown in figure sketch F slipstream solve sonic boom prediction sonic boom propagation spatial derivatives needed subroutine tion unknowns values variables in region velocity wave Whitham