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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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