Convergence analysis of the energy and helicity preserving scheme for axisymmetric flows
Publication
, Journal Article
Liu, JG; Wang, WC
Published in: SIAM Journal on Numerical Analysis
December 1, 2006
We give an error estimate for the energy and helicity preserving scheme (EHPS) in second order finite difference setting on axisymmetric incompressible flows with swirling velocity. This is accomplished by a weighted energy estimate, along with careful and nonstandard local truncation error analysis near the geometric singularity and a far field decay estimate for the stream function. A key ingredient in our a priori estimate is the permutation identities associated with the Jacobians, which are also a unique feature that distinguishes EHPS from standard finite difference schemes. © 2006 Society for Industrial and Applied Mathematics.
Duke Scholars
Published In
SIAM Journal on Numerical Analysis
DOI
ISSN
0036-1429
Publication Date
December 1, 2006
Volume
44
Issue
6
Start / End Page
2456 / 2480
Related Subject Headings
- Numerical & Computational Mathematics
- 4903 Numerical and computational mathematics
- 4901 Applied mathematics
- 0103 Numerical and Computational Mathematics
- 0102 Applied Mathematics
- 0101 Pure Mathematics
Citation
APA
Chicago
ICMJE
MLA
NLM
Liu, J. G., & Wang, W. C. (2006). Convergence analysis of the energy and helicity preserving scheme for axisymmetric flows. SIAM Journal on Numerical Analysis, 44(6), 2456–2480. https://doi.org/10.1137/050639314
Liu, J. G., and W. C. Wang. “Convergence analysis of the energy and helicity preserving scheme for axisymmetric flows.” SIAM Journal on Numerical Analysis 44, no. 6 (December 1, 2006): 2456–80. https://doi.org/10.1137/050639314.
Liu JG, Wang WC. Convergence analysis of the energy and helicity preserving scheme for axisymmetric flows. SIAM Journal on Numerical Analysis. 2006 Dec 1;44(6):2456–80.
Liu, J. G., and W. C. Wang. “Convergence analysis of the energy and helicity preserving scheme for axisymmetric flows.” SIAM Journal on Numerical Analysis, vol. 44, no. 6, Dec. 2006, pp. 2456–80. Scopus, doi:10.1137/050639314.
Liu JG, Wang WC. Convergence analysis of the energy and helicity preserving scheme for axisymmetric flows. SIAM Journal on Numerical Analysis. 2006 Dec 1;44(6):2456–2480.
Published In
SIAM Journal on Numerical Analysis
DOI
ISSN
0036-1429
Publication Date
December 1, 2006
Volume
44
Issue
6
Start / End Page
2456 / 2480
Related Subject Headings
- Numerical & Computational Mathematics
- 4903 Numerical and computational mathematics
- 4901 Applied mathematics
- 0103 Numerical and Computational Mathematics
- 0102 Applied Mathematics
- 0101 Pure Mathematics