Time Stable Boundary Conditions For Finite Difference Schemes Solving Hyperbolic Systems
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Time-Stable Boundary Conditions for Finite-Difference Schemes Solving Hyperbolic Systems
Author | : National Aeronautics and Space Administration (NASA) |
Publisher | : Createspace Independent Publishing Platform |
Total Pages | : 38 |
Release | : 2018-07-13 |
Genre | : |
ISBN | : 9781722907976 |
Download Time-Stable Boundary Conditions for Finite-Difference Schemes Solving Hyperbolic Systems Book in PDF, Epub and Kindle
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. Carpenter, Mark H. and Gottlieb, David and Abarbanel, Saul Unspecified Center NAS1-19480; NAS1-18605; RTOP 505-90-52-01...
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