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Application of the method of integral relations to unsteady fluid flow problems with shocksA mixed method using both the method of integral relations and the finite difference technique is developed for the solution of unsteady flow problems. The integral relations method is based upon a chosen interpolating function dependent only on the time domain. The resulting local semidiscrete finite element equations obtained are assembled into a global form. The spatial derivatives at the nodes are replaced by finite difference operators and the discretized nonlinear algebraic system is solved by an iterative scheme. Solutions are obtained for the one-dimensional gasdynamics equation, the one-dimensional wave equation and Burger's model of turbulence. Agreement with other numerical and analytical solutions is excellent for the gasdynamics problem and satisfactory for the Burger equation in cases of small viscous effects.
Document ID
19800042524
Acquisition Source
Legacy CDMS
Document Type
Conference Proceedings
Authors
Wadia, A. R.
(Texas Univ. Arlington, TX, United States)
Payne, F. R.
(Texas, University Arlington, Tex., United States)
Date Acquired
August 10, 2013
Publication Date
January 1, 1979
Subject Category
Fluid Mechanics And Heat Transfer
Meeting Information
Meeting: Advances in computer methods for partial differential equations - III
Location: Bethlehem, PA
Start Date: June 20, 1979
End Date: June 22, 1979
Accession Number
80A26694
Funding Number(s)
CONTRACT_GRANT: NSG-2077
Distribution Limits
Public
Copyright
Other

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