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A weak boundary pro...
A weak boundary procedure for high order finite difference approximations of hyperbolic problems
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- Abbas, Qaisar (författare)
- Uppsala universitet,Avdelningen för teknisk databehandling,Numerisk analys
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Nordström, Jan (författare)
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(creator_code:org_t)
- 2011
- Engelska.
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Serie: Technical report / Department of Information Technology, Uppsala University, 1404-3203 ; 2011-019
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Abstract
Ämnesord
Stäng
- We introduce a new weak boundary procedures for high order finite difference operators on summation-by-parts type applied to hyperbolic problems. The boundary procedure is applied in an extended domain where data is known. We show how to raise the order of accuracy for a diagonal norm based approximation and how to modify the spectrum of the resulting operator to get a faster convergence to steady-state. Furthermore, we also show how to construct better non-reflecting properties at the boundaries using the above procedure. Numerical results that corroborate the analysis are presented.
Ämnesord
- NATURVETENSKAP -- Matematik -- Beräkningsmatematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Computational Mathematics (hsv//eng)
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