A diffusion model for velocity gradients in turbulence

摘要: In this paper a stochastic model for velocity gradients following fluid particles in incompressible, homogeneous, and isotropic turbulence is presented demonstrated. The constructed so that the satisfy incompressibility isotropy requirements exactly. It further constrained to yield first few moments of gradient distribution similar those computed from full simulations (FTS) data. performance then compared with other computations FTS gives good agreement one‐time statistics. While two‐time statistics strain rate are well replicated, vorticity not as good, reflecting perhaps certain lack embodiment physics model. when used compute material element deformation qualitatively line‐element growth being correct within 5% surface 20% lowest Reynolds number considered. uniformly all numbers So it conjectured can be even inhomogeneous, high‐Reynolds‐number flows, study evolution surfaces, problem interest particularly combustion researchers.