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The Basic k-ϵ Model and a New Fundamentally Based Model of Anisotropic Inhomogeneous Turbulence Compared with DNS of Channel Flow at High Reynolds Number
Brouwers, J.J.H. The Basic k-ϵ Model and a New Model Based on General Statistical Descriptions of Anisotropic Inhomogeneous Turbulence Compared with DNS of Channel Flow at High Reynolds Number. Inventions2024, 9, 38.
Brouwers, J.J.H. The Basic k-ϵ Model and a New Model Based on General Statistical Descriptions of Anisotropic Inhomogeneous Turbulence Compared with DNS of Channel Flow at High Reynolds Number. Inventions 2024, 9, 38.
Brouwers, J.J.H. The Basic k-ϵ Model and a New Model Based on General Statistical Descriptions of Anisotropic Inhomogeneous Turbulence Compared with DNS of Channel Flow at High Reynolds Number. Inventions2024, 9, 38.
Brouwers, J.J.H. The Basic k-ϵ Model and a New Model Based on General Statistical Descriptions of Anisotropic Inhomogeneous Turbulence Compared with DNS of Channel Flow at High Reynolds Number. Inventions 2024, 9, 38.
Abstract
Predictions of mean values of statistical variables of large scale turbulent flow by the widely used basic k-ϵ model and a new fundamentally based model are verified against published results of Direct Numerical Simulations DNS of the Navier-Stokes equations. The verification concerns turbulent channel flow at shear Reynolds numbers of 950, 2000 and 104. The basic k-ϵ model is largely based on empirical formulations accompanied by calibration constants. This contrasts with the new model where descriptions of leading statistical quantities are based on the general principles of statistical turbulence at large Reynolds number. Predicted values of major output variables such as turbulent viscosity, diffusivity of passive admixture, temperature, and fluid velocities compare well with DNS in case of the new model. Significant differences are seen in case of the basic k-ϵ model.
Keywords
Turbulent Channel Flow; k-ϵ model; new fundamentally based model; diffusion representations
Subject
Computer Science and Mathematics, Applied Mathematics
Copyright:
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