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| Benchmark problems | Geometry | Main concerns and issues | Frequently referred sources for comparison or recent contributions |
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| Bend flow | Meandering channel | (i) Velocity acceleration by centrifugal force
(ii) Superelevation of water surface level
(iii) Secondary current | (i) Rozovskii [12]
(ii) de Vriend [13]
(iii) Odgaard [14]
(iv) Seo et al. [15] |
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| Discontinuity propagation | Circular cylinder | (i) Shock-capturing property
(ii) Time evolution of subsequent wave
(iii) Preservation of symmetry
(iv) Mass conservation
(v) Test for lack of oscillations | (i) Alcrudo and Garcia-Navarro [16]
(ii) Mingham and Causon [17]
(iii) Erduran et al. [18] |
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| Side cavity | Side pocket with square domain | (i) Generation of corner vortex
(ii) Intensity of vortices according to Re
(iii) Velocity profiles along the center lines | (i) Ghia et al. [19]
(ii) Botella and Peyret [20]
(iii) Bruneau and Saad [21] |
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| Supercritical flow | (i) A channel with deflected wall
(ii) Converging channel | (i) Reproduction of oblique standing wave
(ii) Resolution of discontinuity without oscillation
(iii) Quantitative comparisons with analytic solutions | (i) Ippen and Dawson [22]
(ii) Zhao et al. [23]
(iii) Caleffi et al. [24]
(iv) Lai et al. [25] |
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| Merging flow | Confluent channel | (i) Magnitude of contracted flow
(ii) Range of recirculation zone
(iii) Flow behavior by junction angle | (i) Weber et al. [26]
(ii) Liu et al. [27]
(iii) Thanh et al. [28]
(iv) Song et al. [5] |
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| External flow | Rectangular channel with airfoil or cylinder(s) | (i) Reduction of drag force
(ii) St number of vortex street under low Re
(iii) Analysis of bow wave and separation angle | (i) Dennis and Chang [29]
(ii) Braza et al. [30]
(iii) Yulistiyanto et al. [31]
(iv) Seo and Song [4] |
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| Flow over uneven bottom or through nonprismatic channel | A channel with bump/weir or continuously varying width | (i) Treatment of source terms
(ii) Flow characteristic near transition
(iii) Quantitative comparisons with analytic solutions | (i) Bermudez and Vazquez [32]
(ii) MacDonald [8]
(iii) Zhou et al. [33] |
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| Transcritical flow | Rectangular domain with discontinuous initial condition | (i) Check for proper imposition of boundary conditions
(ii) Flow over wet/dry bed
(iii) Shock-capturing property
(iv) Formation of the advancing front and the depressive wave
(v) Test for lack of oscillations | (i) Katopodes and Strelkoff [34]
(ii) Fennema and Chaudhry [35]
(iii) Fraccarollo and Toro [36] |
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| Wet/dry | (i) A channel with linearly varying bottom slope
(ii) Parabola basin | (i) Capturing the advancing/receding wetting front
(ii) Mass conservation
(iii) Extension to flood inundation model | (i) Thacker [37]
(ii) Balzano [38]
(iii) Oey [39] |
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