Journal of Geophysical Research Atmospheres · 1987 · 494 citations · 50 references
Natural SciencesEarth SciencesComputational Fluid DynamicsFluid DynamicsReservoir SimulationFlow ModelingStratified FlowTurbulenceTurbulent FlowTurbulent MixingTurbulent TransportMixing In Stratified FlowsMixing-length TheoryStratified Flow SimulationStratified Mixing ProcessesTurbulence Closure ModelsTurbulent Mixing In Stratified FluidsTurbulent Momentum FluxTurbulent Momentum Transport
The paper reviews mathematical models for predicting flow and mixing in stratified lakes and reservoirs, focusing on turbulence models that simulate momentum, heat, and mass transport in averaged‑equation statistical methods. It surveys prediction methods ranging from one‑dimensional integral approaches to direct Navier‑Stokes simulations, including turbulence models from Prandtl mixing‑length theory to second‑order closure schemes. Illustrative examples demonstrate the predictive capabilities of these methods across diverse stratified flow situations.
Certain mathematical models for predicting the flow and mixing processes in stratified fluids are reviewed, with particular focus on stratified lakes and reservoirs. The various types of prediction methods are introduced briefly, from one‐dimensional integral methods to direct simulations of the Navier‐Stokes equations. The paper concentrates on turbulence models for simulating the turbulent momentum, heat, and mass transport terms appearing in the statistical methods employing averaged equations. Models ranging from the simple Prandtl mixing length theory to second‐order‐closure schemes are discussed. To illustrate the predictive capabilities of the methods, examples are presented of applications of the method covered to a variety of stratified flow situations.
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GENERAL CIRCULATION EXPERIMENTS WITH THE PRIMITIVE EQUATIONS
Joseph Smagorinsky · Monthly Weather Review · 1963 · 13.8K citations