Influence of the Cavitation Model on the Simulation of Cloud Cavitation on 2D Foil Section

Table 1

Overview of some cavitation models existing in the literature.

Authors	Vaporization/condensation terms (𝑚̇^+/𝑚̇^−)
Reboud and Stutz [5]	1𝐴=𝜃𝜌𝑣min[𝛼min,𝛼,(1−𝛼)](−𝜎−𝐶𝑝)
Kunz et al. [13, 14]	𝑚̇^+=𝐶prod𝜌𝑣𝛼𝑙min(0,𝑝−𝑝𝑣)((1/2)𝜌𝑙𝑈^2∞)𝑡∞,𝑚̇^−=𝐶dest𝜌𝑣𝛼^2𝑙(1−𝛼𝑙)𝑡∞
Merkle et al. [4]	𝑚̇^+=𝐶prod𝜌𝑙Min(0,𝑝−𝑝𝑣)𝛼𝑙𝜌𝑣((1/2)𝜌𝑙𝑈^2∞)𝑡∞,𝑚̇^−=𝐶destMax(0,𝑝−𝑝𝑣)(1−𝛼𝑙)((1/2)𝜌𝑙𝑈^2∞)𝑡∞
Dauby et al. [15]	𝑚̇^+=𝐶prodMin(0,𝑝−𝑝𝑣)𝛼𝑙,𝑚̇^−=𝐶destMax(0,𝑝−𝑝𝑣)(1−𝛼𝑙)
Saito et al. [8]	𝑚̇^+=𝐶prod𝜌𝐴𝛼(1−𝛼)^𝑙𝜌𝑣Min(0,𝑝−𝑝𝑣)2𝜋𝑅𝑇𝑠,𝑚̇^−=𝐶dest𝐴𝛼(1−𝛼)Max(0,𝑝−𝑝𝑣)2𝜋𝑅𝑇𝑠
Singhal et al. [7]	𝑚̇^+=𝐶prod𝑈∞𝛾𝜌𝑙𝜌𝑣2[−3Min(0,𝑝−𝑝𝑣)𝜌𝑙]^1/2∗(1−𝑓𝑣𝑚̇),−=𝐶dest𝑈∞𝛾𝜌𝑙𝜌𝑣[23Max(0,𝑝−𝑝𝑣)𝜌𝑙]^1/2∗𝑓𝑣
Schnerr and Sauer [16]	𝑚̇^+=𝐶prod3𝛼𝑙𝑅𝑏−23Min(0,𝑝−𝑝𝑣)𝜌𝑙,𝑚̇^−=𝐶dest3(1−𝛼𝑙)𝑅𝑏23Max(0,𝑝−𝑝𝑣)𝜌𝑙