Publication Date:
2019-06-28
Description:
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 roper summation-by-parts formula is found for the approximate derivative. A 'simultaneous approximation term' (SAT) 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.
Keywords:
NUMERICAL ANALYSIS
Type:
NASA-CR-191436
,
NAS 1.26:191436
,
ICASE-93-9
,
AD-A262950
Format:
application/pdf