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Boundary and Interface Conditions for High-Order Finite-Difference Methods Applied to the Euler and Navier–Stokes Equations

✍ Scribed by Jan Nordström; Mark H Carpenter

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
164 KB
Volume
148
Category
Article
ISSN
0021-9991

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✦ Synopsis

Boundary and interface conditions for high-order finite difference methods applied to the constant coefficient Euler and Navier-Stokes equations are derived. The boundary conditions lead to strict and strong stability. The interface conditions are stable and conservative even if the finite difference operators and mesh sizes vary from domain to domain. Numerical experiments show that the new conditions also lead to good results for the corresponding nonlinear problems.

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