A method for solving hypervelocity impact problems with consideration of free-surface discontinuities
Richard E. Turner, United States. National Aeronautics and Space Administration, Langley Research Center
National Aeronautics and Space Administration ; [For sale by the Clearinghouse for Federal Scientific and Technical Information, Springfield, Virginia 22151], 1969 - Mathematics - 32 pages
Mathematical model for solving hypervelocity impact problem with free surface discontinuity.
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2.56 microseconds aluminum cylinder APPENDIX boundary conditions center-line boundary centimeters Figure centimeters/second comoving compressible fluid continuity equation convective convective terms cylindrical coordinates density variations derivatives taken dimensionless dynes/centimeter2 eigenvalues elemental volume equation 13 equation A2 equation C16 Equations of Motion Eulerian finite-difference approximations finite-difference equations fluids with pure Fourier series Free-Surface Coordinates free-surface definition free-surface equations Front free surface heat conduction HYPERVELOCITY IMPACT PROBLEMS interior nodal points internal energy Langley Research Center lines of constant meteoroid environment method of tracking microseconds after impact numerical stability study Pj,k pj+a,k projectile property values property variations PUAr pure hydrostatic stress radial velocity rear free surface Reference 3 Test region second approach shock wave traveling shown in figure side of equation stress curve surface of revolution taken at constant target-projectile system tends to zero terms are simplified tracking free surfaces transport equation value of H variations are shown vector velocity of 20