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A new type of bound...
A new type of boundary treatment for wave propagation
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Tornberg, Anna-Karin (author)
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Engquist, Björn (author)
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- Gustafsson, Bertil (author)
- Uppsala universitet,Avdelningen för teknisk databehandling,Numerisk analys
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- Wahlund, Per (author)
- Uppsala universitet,Avdelningen för teknisk databehandling,Numerisk analys,Waves and Fluids
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(creator_code:org_t)
- 2006-09-06
- 2006
- English.
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In: BIT Numerical Mathematics. - : Springer Science and Business Media LLC. - 0006-3835 .- 1572-9125. ; 46, s. S145-S170
- Related links:
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https://urn.kb.se/re...
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https://doi.org/10.1...
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https://urn.kb.se/re...
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Abstract
Subject headings
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- Numerical approximation of wave propagation can be done very efficiently on uniform grids. The Yee scheme is a good example. A serious problem with uniform grids is the approximation of boundary conditions at a boundary not aligned with the grid. In this paper, boundary conditions are introduced by modifying appropriate material coefficients at a few grid points close to the embedded boundary. This procedure is applied to the Yee scheme and the resulting method is proven to be L2-stable in one space dimension. Depending on the boundary approximation technique it is of first or second order accuracy even if the boundary is located at an arbitrary point relative to the grid. This boundary treatment is applied also to a higher order discretization resulting in a third order accurate method. All algorithms have the same staggered grid structure in the interior as well as across the boundaries for efficiency. A numerical example with the extension to two space dimensions is included.
Subject headings
- NATURVETENSKAP -- Matematik -- Beräkningsmatematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Computational Mathematics (hsv//eng)
Keyword
- wave propagation
- staggered grid
- modified coefficients
- irregular boundary
- order difference-methods
- convergence rate
- equations
- approximations
- construction
- schemes
- media
- 2d
Publication and Content Type
- ref (subject category)
- art (subject category)
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