Relationship between a Wiener–Hermite expansion and an energy cascade

DOI10.1017/S0022112070000654zbMath0191.25603MaRDI QIDQ5585286

Steven C. Crow, G. H. Canavan

Publication date: 1970

Published in: Journal of Fluid Mechanics (Search for Journal in Brave)

zbMATH Keywords

fluid mechanics

Related Items (14)

Modeling uncertainty in flow simulations via generalized polynomial chaos. ⋮ Sensitivity analysis of large-eddy simulations to subgrid-scale-model parametric uncertainty using polynomial chaos ⋮ Adaptive approximation of higher order posterior statistics ⋮ Uncertainty propagation using Wiener-Haar expansions ⋮ Using homotopy WHEP technique for solving a stochastic nonlinear diffusion equation ⋮ The Homotopy Wiener-Hermite Expansion and Perturbation Technique (WHEP) ⋮ Approximate solution of a mixed nonlinear stochastic oscillator ⋮ Wiener chaos expansions and numerical solutions of randomly forced equations of fluid mechanics ⋮ A stochastic projection method for fluid flow. I: Basic formulation ⋮ Toward a solution of a class of non-linear stochastic perturbed PDEs using automated WHEP algorithm ⋮ Limitations of polynomial chaos expansions in the Bayesian solution of inverse problems ⋮ An efficient computational method for statistical moments of Burger's equation with random initial conditions ⋮ The approximate solution of a nonlinear diffusion equation using some techniques, a comparison study ⋮ A stochastic projection method for fluid flow. II: Random process

Cites Work

• Wiener-Hermite Expansion in Model Turbulence at Large Reynolds Numbers
• Dynamical Properties of Truncated Wiener-Hermite Expansions
• Lagrangian Wiener-Hermite Expansion for Turbulence
• Turbulence Theory with a Time-Varying Wiener-Hermite Basis

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