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A new high order en...
A new high order energy and enstrophy conserving Arakawa-like Jacobian differential operator
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- Sorgentone, Chiara (author)
- KTH,Numerisk analys, NA,Department of Mathematics, Royal Institute of Technology (KTH), SE-100 44 Stockholm, Sweden
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- La Cognata, Cristina (author)
- Linköpings universitet,Beräkningsmatematik,Tekniska fakulteten,Tekniska högskolan
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- Nordström, Jan (author)
- Linköpings universitet,Beräkningsmatematik,Tekniska fakulteten,Tekniska högskolan
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(creator_code:org_t)
- Elsevier BV, 2015
- 2015
- English.
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Series: LiTH-MAT-R, 0348-2960 ; 2015:05
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In: Journal of Computational Physics. - : Elsevier BV. - 0021-9991 .- 1090-2716. ; 301, s. 167-177
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Abstract
Subject headings
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- A new high order Arakawa-like method for the incompressible vorticity equation in two-dimensions has been developed. Mimetic properties such as skew-symmetry, energy and enstrophy conservations for the semi-discretization are proved for periodic problems using arbitrary high order summation-by-parts operators. Numerical simulations corroborate the theoretical findings.
Subject headings
- NATURVETENSKAP -- Data- och informationsvetenskap -- Datavetenskap (hsv//swe)
- NATURAL SCIENCES -- Computer and Information Sciences -- Computer Sciences (hsv//eng)
- NATURVETENSKAP -- Fysik (hsv//swe)
- NATURAL SCIENCES -- Physical Sciences (hsv//eng)
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
- NATURVETENSKAP -- Matematik -- Beräkningsmatematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Computational Mathematics (hsv//eng)
Keyword
- Non-linear problems
- Summation-by-parts operators
- Jacobian
- Mimetic schemes
- High-order schemes
- Stability
- Finite difference
Publication and Content Type
- ref (subject category)
- art (subject category)
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