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High Resolution Schemes Using Flux Limiters for Hyperbolic Conservation Laws
Abstract
The technique of obtaining high resolution, second order, oscillation free (TVD), explicit scalar difference schemes, by the addition of a limited antidiffusive flux to a first order scheme is explored and bounds derived for such limiters. A class of limiters is presented which includes a very compressive limiter due to Roe, and various limiters are compared both theoretically and numerically.
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Citations
Cited by
Efficient implementation of essentially non-oscillatory shock-capturing schemes
Shu, C.-W., & Osher, S. (1988) · Journal of Computational Physics · doi:10.1016/0021-9991(88)90177-5 · Cited by 4,886
Efficient implementation of essentially non-oscillatory shock-capturing schemes, II
Shu, C.-W., & Osher, S. (1989) · Journal of Computational Physics · doi:10.1016/0021-9991(89)90222-2 · Cited by 4,851
Shu, C.-W. (1998) · Lecture Notes in Mathematics · doi:10.1007/bfb0096355 · Cited by 1,919
Central WENO schemes for hyperbolic systems of conservation laws
Levy, D., Puppo, G., & Russo, G. (1999) · ESAIM: Mathematical Modelling and Numerical Analysis · doi:10.1051/m2an:1999152 · Cited by 445
Finite-volume schemes for shallow-water equations
Kurganov, A. (2018) · Acta Numerica · doi:10.1017/s0962492918000028 · Cited by 108
Metadata
- Authors
- Sweby, P. K.
- Venue
- SIAM Journal on Numerical Analysis
- Published
- 1984-10
- Volume
- 21
- Issue
- 5
- Pages
- 995-1011
- ISSN
- 0036-1429 (ISSN-L)
- 1095-7170
- OpenAlex
- W1975706278
- Cited by
- 2,699
- References
- 0
- FWCI
- 27.97
- Type
- journal article
- Language
- en
- Open access
- closed
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- Sweby, P. K. (1984). High Resolution Schemes Using Flux Limiters for Hyperbolic Conservation Laws. SIAM Journal on Numerical Analysis. https://doi.org/10.1137/0721062
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