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NASA Technical Reports Server (NTRS) 20150012291: Robust and Simple...
by NASA Technical Reports Server (NTRS)
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This paper reports on a significant advance in the area
of nonreflecting boundary conditions (NRBCs) for unsteady
flow computations. As a part of t he development of t he
space-time conservation element and solution element
(CE/SE) method, sets of NRBCs for 1D Euler problems are
developed without using any characteristics- based
techniques. These conditions are much simpler than those
commonly reported in the literature, yet so robust that
they are applicable to subsonic, transonic and supersonic
flows even in the presence of discontinuities. In
addition, the straightforward multidimensional extensions
of the present 1D NRBCs have been shown numerically to be
equally simple and robust. The paper details the
theoretical underpinning of these NRBCs, and explains t
heir unique robustness and accuracy in terms of t he
conservation of space-time fluxes. Some numerical results
for an extended Sod's shock-tube problem, illustrating
the effectiveness of the present NRBCs are included,
together with an associated simple Fortran computer
program. As a preliminary to the present development, a
review of the basic CE/SE schemes is also included.
Date Published: 2016-10-26 13:48:52
Identifier: NASA_NTRS_Archive_20150012291
Item Size: 38294372
Language: english
Media Type: texts
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