Computational procedures for mixed equations with shock wavesThis paper discusses the procedures we have developed to treat a canonical problem involving a mixed nonlinear equation with boundary data that imply a discontinuous solution. This equation arises in various physical contexts and is basic to the description of the nonlinear acoustic behavior of a shock wave near a caustic. The numerical scheme developed is of second order, treats discontinuities as such by applying the appropriate jump conditions across them, and eliminates the numerical dissipation and dispersion associated with large gradients. Our results are compared with the results of a first-order scheme and with those of a second-order scheme we have developed. The algorithm used here can easily be generalized to more complicated problems, including transonic flows with imbedded shocks.
Document ID
19750034406
Acquisition Source
Legacy CDMS
Document Type
Conference Proceedings
Authors
Yu, N. J.
Seebass, R. (Cornell University Ithaca, N.Y., United States)
Date Acquired
August 8, 2013
Publication Date
January 1, 1974
Subject Category
Fluid Mechanics And Heat Transfer
Meeting Information
Meeting: Computational methods in nonlinear mechanics; International Conference