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Eigenmode Analysis of Boundary Conditions for the One-Dimensional Preconditioned Euler Equations

โœ Scribed by David L. Darmofal; Pierre Moinier; Michael B. Giles

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
93 KB
Volume
160
Category
Article
ISSN
0021-9991

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โœฆ Synopsis

The effect of local preconditioning on boundary conditions is analyzed for the subsonic, one-dimensional Euler equations. Decay rates for the eigenmodes of the initial boundary value problem are determined for different boundary conditions and different preconditioners whose intent is to accelerate low Mach number computations. Riemann invariant boundary conditions based on the unpreconditioned Euler equations are shown to be reflective when used with preconditioning, and asymptotically, at low Mach numbers, initial disturbances do not decay. Other boundary conditions are shown to be perfectly nonreflective in conjunction with preconditioning. Twodimensional numerical results confirm the trends predicted by the one-dimensional analysis.

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