The DOI matches its Crossref record; 9 of the 9 references it cites were found in a registry or an index.
A contribution to the great Riemann solver debate
Open accessAbstract
The aims of this paper are threefold: to increase the level of awareness within the shock‐capturing community of the fact that many Godunov‐type methods contain subtle flaws that can cause spurious solutions to be computed; to identify one mechanism that might thwart attempts to produce very‐high‐resolution simulations; and to proffer a simple strategy for overcoming the specific failings of individual Riemann solvers.
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Cites
The Piecewise Parabolic Method (PPM) for gas-dynamical simulations
Colella, P., & Woodward, P. R. (1984) · Journal of Computational Physics · doi:10.1016/0021-9991(84)90143-8 · Cited by 3,954
Supersonic Flow and Shock Waves
(1976) · Applied Mathematical Sciences · doi:10.1007/978-1-4684-9364-1 · Cited by 3,230
The numerical simulation of two-dimensional fluid flow with strong shocks
Woodward, P., & Colella, P. (1984) · Journal of Computational Physics · doi:10.1016/0021-9991(84)90142-6 · Cited by 2,928
van Leer, B. (1974) · Journal of Computational Physics · doi:10.1016/0021-9991(74)90019-9 · Cited by 2,210
Supersonic Flow and Shock Waves
LIGHTHILL, M. J. (1949) · Nature · doi:10.1038/163706a0 · Cited by 2,152
Characteristic-Based Schemes for the Euler Equations
Roe, P. L. (1986) · Annual Review of Fluid Mechanics · doi:10.1146/annurev.fl.18.010186.002005 · Cited by 1,865
On Godunov-Type Methods for Gas Dynamics
Einfeldt, B. (1988) · SIAM Journal on Numerical Analysis · doi:10.1137/0725021 · Cited by 1,031
Lectures on Applied Mathematics
(2000) · Springer eBooks · doi:10.1007/978-3-642-59709-1 · Cited by 767
Quirk, J. J. (1994) · Computers & Fluids · doi:10.1016/0045-7930(94)90031-0 · Cited by 248
Self-citation
Cited by
Smoothed particle hydrodynamics
Monaghan, J. J. (2005) · Reports on Progress in Physics · doi:10.1088/0034-4885/68/8/r01 · Cited by 2,754
PLUTO: A Numerical Code for Computational Astrophysics
Mignone, A., Bodo, G., Massaglia, S., Matsakos, T., Tesileanu, O., Zanni, C., & Ferrari, A. (2007) · The Astrophysical Journal Supplement Series · doi:10.1086/513316 · Cited by 1,634
Morphology and Dynamics of Relativistic Jets
Marti, J. M., Muller, E., Font, J. A., Ibanez, J. M., & Marquina, A. (1997) · The Astrophysical Journal · doi:10.1086/303842 · Cited by 294
Ultrarelativistic fluid dynamics
Neilsen, D. W., & Choptuik, M. W. (2000) · Classical and Quantum Gravity · doi:10.1088/0264-9381/17/4/302 · Cited by 49
Metadata
- Authors
- Quirk, J. J.
- Venue
- International Journal for Numerical Methods in Fluids
- Publisher
- Wiley
- Published
- 1994-03-30
- Volume
- 18
- Issue
- 6
- Pages
- 555-574
- ISSN
- 0271-2091 (ISSN-L)
- 1097-0363
- OpenAlex
- W2005106153
- Cited by
- 786
- References
- 9
- FWCI
- 20.02
- Type
- journal article
- Language
- en
- Open access
- green
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