# Development of a turbulence closure model for geophysical fluid problems

@article{Mellor1982DevelopmentOA, title={Development of a turbulence closure model for geophysical fluid problems}, author={George Mellor and Tetsuji Yamada}, journal={Reviews of Geophysics}, year={1982}, volume={20}, pages={851-875} }

Applications of second-moment turbulent closure hypotheses to geophysical fluid problems have developed rapidly since 1973, when genuine predictive skill in coping with the effects of stratification was demonstrated. The purpose here is to synthesize and organize material that has appeared in a number of articles and add new useful material so that a complete (and improved) description of a turbulence model from conception to application is condensed in a single article. It is hoped that this…

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## References

SHOWING 1-10 OF 90 REFERENCES

### Progress in the development of a Reynolds-stress turbulence closure

- Physics, EngineeringJournal of Fluid Mechanics
- 1975

The paper develops proposals for a model of turbulence in which the Reynolds stresses are determined from the solution of transport equations for these variables and for the turbulence energy…

### Analytic Prediction of the Properties of Stratified Planetary Surface Layers

- Physics
- 1973

Abstract By considering the complex of one-point, turbulent moment equations for velocity, pressure and temperature, it appears possible to predict some properties of diabatic, density-stratified…

### A Hierarchy of Turbulence Closure Models for Planetary Boundary Layers.

- Physics
- 1974

Abstract Turbulence models centered on hypotheses by Rotta and Kolmogoroff are complex. In the present paper we consider systematic simplifications based on the observation that parameters governing…

### Modeling the planetary boundary layer — Extension to the stable case

- Environmental Science, Physics
- 1975

A higher-order-closure model, which contains equations for turbulence covariances as well as the mean field, was developed and used to investigate the structure of the stably-stratified planetary…

### A Simulation of the Wangara Atmospheric Boundary Layer Data

- Physics, Environmental Science
- 1975

Abstract Previously, the authors have studied a hierarchy of turbulent boundary layer models, all based on the same closure assumptions for the triple turbulence moments. The models differ in…

### The Structure and Dynamics of the Ocean Surface Mixed Layer

- Physics
- 1975

Abstract The present paper describes a one-dimensional unsteady model of the ocean surface mixed layer. Themodel somewhat resembles the approach of Munk and Anderson in that the differential…

### An application of a three-dimensional, simplified second-moment closure numerical model to study atmospheric effects of a large cooling-pond

- Environmental Science, Physics
- 1979

### Turbulent shear layer prediction on the basis of the transport equations for the Reynolds stresses

- Physics
- 1973

Turbulence is the most complicated type of flow. Its theoretical solution is, in the case of an incompressible Newtonian fluid, the general integral of the Navier-Stokes equations. The exact…

### Turbulence Model for Boundary Layers near Walls

- Physics, Engineering
- 1972

A turbulence model is proposed for the prediction of boundary‐layer flows near walls. Two differential equations are solved: one for the kinetic energy of turbulence, and one for its length scale.…

### A numerical model study of turbulent airflow in and above a forest canopy

- Environmental Science
- 1982

A simplified second-moment urbulence closure model, which has been reasonably well tested in various geophysical problems, is used to simulate effects of a tall tree canopy on air circulations in the…