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The influence of the computational mesh on accuracy for initial value problems with discontinuous or nonunique solutionsDiscontinuous, or weak, solutions of the wave equation, the inviscid form of Burgers equation, and the time-dependent, two-dimensional Euler equations are studied. A numerical method of second-order accuracy in two forms, differential and integral, is used to calculate the weak solutions of these equations for several initial value problems, including supersonic flow past a wedge, a double symmetric wedge, and a sphere. The effect of the computational mesh on the accuracy of computed weak solutions including shock waves and expansion phenomena is studied. Modifications to the finite-difference method are presented which aid in obtaining desired solutions for initial value problems in which the solutions are nonunique.
Document ID
19750035993
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
Authors
Maccormack, R. W.
(NASA Ames Research Center Moffett Field, Calif., United States)
Paullay, A. J.
(Bronx Community College Bronx, N.Y., United States)
Date Acquired
August 8, 2013
Publication Date
December 1, 1974
Publication Information
Publication: Computers and Fluids
Volume: 2
Subject Category
Fluid Mechanics And Heat Transfer
Accession Number
75A20065
Distribution Limits
Public
Copyright
Other

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