Time-stable boundary conditions for finite-difference schemes solving hyperbolic systems: Methodology and application to high-order compact schemes
Journal Article
·
· Journal of Computational Physics; (United States)
- NASA/Langley Research Center, Hampton, VA (United States)
- Brown Univ., Providence, RI (United States)
- Tel-Aviv Univ. (Israel)
We present a systematic method for constructing boundary conditions (numerical and physical) of the required accuracy, for compact (Pade-like) high-order finite-difference schemes for hyperbolic systems. First a proper summation-by-parts formula is found for the approximate derivative. A [open quotes]simultaneous approximation term[close quotes] is then introduced to treat the boundary conditions. This procedure leads to time-stable schemes even in the system case. An explicit construction of the fourth-order compact case is given. Numerical studies are presented to verify the efficacy of the approach. 8 refs., 5 tabs.
- OSTI ID:
- 6979734
- Journal Information:
- Journal of Computational Physics; (United States), Journal Name: Journal of Computational Physics; (United States) Vol. 111:2; ISSN 0021-9991; ISSN JCTPAH
- Country of Publication:
- United States
- Language:
- English
Similar Records
High-Order, Stable, and Conservative Boundary Schemes for Central and Compact Finite Differences
High-order, stable, and conservative boundary schemes for central and compact finite differences
Technical Report
·
Mon Jan 07 23:00:00 EST 2019
·
OSTI ID:1489937
High-order, stable, and conservative boundary schemes for central and compact finite differences
Journal Article
·
Wed Dec 26 19:00:00 EST 2018
· Computers and Fluids
·
OSTI ID:1493552