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A weak boundary procedure for high order finite difference approximations of hyperbolic problems
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- Abbas, Qaisar (author)
- Uppsala universitet,Avdelningen för teknisk databehandling,Numerisk analys
- Nordström, Jan (author)
- (creator_code:org_t)
- 2011
- English.
- Series: Technical report / Department of Information Technology, Uppsala University, 1404-3203 ; 2011-019
- Reports (other academic/artistic)
Abstract
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- 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.
Subject headings
- NATURVETENSKAP -- Matematik -- Beräkningsmatematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Computational Mathematics (hsv//eng)
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- rap (subject category)
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