Accession Number : ADA265626


Title :   Computational Methods for Problems in Aerodynamics Using Parallel and Vector Architectures


Descriptive Note : Final rept. 1 Dec 89-30 Nov 92,


Corporate Author : BROWN UNIV PROVIDENCE RI DIV OF APPLIED MATHEMATICS


Personal Author(s) : Gottlieb, David


Full Text : https://apps.dtic.mil/dtic/tr/fulltext/u2/a265626.pdf


Report Date : 07 May 1993


Pagination or Media Count : 18


Abstract : The effort to use spectral methods to simulate flows with shock waves is summarized in four published papers. In (2) the authors study uniform high order spectral methods to solve multi-dimensional Euler equations for gas dynamics. Uniform high order spectral approximations with spectral accuracy in smooth regions of solutions are constructed by introducing the idea of the Essentially Non-Oscillatory (ENO) polynomial interpolations into the spectral methods. Based on the new approximations, nonoscillatory spectral methods which possess the properties of both upwinding difference schemes and spectral methods were proposed. Numerical results are presented for the inviscid Burger's equation, and for one dimensional Euler equations including the interactions between a shock wave and density disturbance, Sod's and Lax's shock the problems, and the blast wave problem. Finally, the interaction between a Mach 3 two dimensional shock wave and a rotating vortex is simulated.


Descriptors :   *SHOCK WAVES , *NUMERICAL ANALYSIS , *SHOCK SPECTRA , *GAS DYNAMICS , POLYNOMIALS , EULER EQUATIONS , CHEBYSHEV APPROXIMATIONS


Subject Categories : Aerodynamics
      Numerical Mathematics


Distribution Statement : APPROVED FOR PUBLIC RELEASE