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Numerical weather prediction

 

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Numerical weather prediction



 
 
Numerical weather prediction uses current weather conditions as input into mathematical model
Mathematical model

A mathematical model uses mathematics language to describe a system. Mathematical models are used not only in the natural sciences and engineering disciplines but also in the social sciences ; physicists, engineers, computer sciences, and economists use mathematical models most extensively....
s of the atmosphere to predict the weather
Weather forecasting

Bold text'Weather forecasting is the application of science and technology to predict the state of the Earth's atmosphere for a future time and a given location....
. While the first efforts to accomplish this were done in the 1920's, it wasn't until the advent of the computer that it was feasible to do in real-time.






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Numerical weather prediction uses current weather conditions as input into mathematical model
Mathematical model

A mathematical model uses mathematics language to describe a system. Mathematical models are used not only in the natural sciences and engineering disciplines but also in the social sciences ; physicists, engineers, computer sciences, and economists use mathematical models most extensively....
s of the atmosphere to predict the weather
Weather forecasting

Bold text'Weather forecasting is the application of science and technology to predict the state of the Earth's atmosphere for a future time and a given location....
. While the first efforts to accomplish this were done in the 1920's, it wasn't until the advent of the computer that it was feasible to do in real-time. Manipulating the huge datasets and performing the complex calculations necessary to do this on a resolution fine enough to make the results useful requires the use of some of the most powerful supercomputer
Supercomputer

A supercomputer is a computer that is at the frontline of current processing capacity, particularly speed of calculation. Supercomputers introduced in the 1960s were designed primarily by Seymour Cray at Control Data Corporation , and led the market into the 1970s until Cray left to form his own company, Cray Research....
s in the world. A number of forecast models, both global and regional in scale, are run to help create forecasts for nations worldwide. Use of model ensemble forecasts helps to define the forecast uncertainty and extend weather forecasting farther into the future than would otherwise be possible.

Physical overview

The atmosphere
Atmosphere

An atmosphere is a layer of gases that may surround a material body of sufficient mass, by the gravity of the body, and are retained for a longer duration if gravity is high and the atmosphere's temperature is low....
 is a fluid
Fluid

A fluid is defined as a substance that continually deforms under an applied shear stress. All liquids and all gases are fluids. Fluids are a subset of the Phase and include liquids, gas, Plasma physics and, to some extent, plasticity ....
. The basic idea of numerical weather prediction is to sample the state of the fluid at a given time and use the equations of fluid dynamics
Fluid dynamics

In physics, fluid dynamics is the sub-discipline of fluid mechanics dealing with fluid flow — the natural science of fluids in motion....
 and thermodynamics
Thermodynamics

In physics, thermodynamics is the study of the conversion of heat energy into different forms of energy ; different energy conversions into heat energy; and its relation to macroscopic variables such as temperature, pressure, and volume....
 to estimate the state of the fluid at some time in the future.

History

British mathematician Lewis Fry Richardson
Lewis Fry Richardson

Lewis Fry Richardson, Fellow of the Royal Society   was an English mathematician, physicist, meteorologist, psychologist and pacifist who pioneered modern mathematical techniques of weather forecasting, and the application of similar techniques to studying the causes of wars and how to prevent them....
 first proposed numerical weather prediction in 1922. Richardson attempted to perform a numerical forecast but it was not successful. The first successful numerical prediction was performed in 1950 by a team composed of the American meteorologists Jule Charney, Philip Thompson, Larry Gates, and Norwegian meteorologist Ragnar Fjörtoft and applied mathematician John von Neumann
John von Neumann

John von Neumann was a Hungarian American mathematician who made major contributions to a vast range of fields, including set theory, functional analysis, quantum mechanics, ergodic theory, continuous geometry, economics and game theory, computer science, numerical analysis, hydrodynamics , and statistics, as well as many other mathematical...
, using the ENIAC
ENIAC

ENIAC, short for Electronic Numerical Integrator And Computer, was a general-purpose electronic computer. It was a Turing complete, digital computer capable of being reprogrammed to solve a full range of computing problems....
 digital computer. They used a simplified form of atmospheric dynamics based on the barotropic
Barotropic

In meteorology, a barotropic atmosphere is one in which the pressure depends only on the density and vice versa, so that Isobaric process surfaces are also isopycnic surfaces ....
 vorticity equation. This simplification greatly reduced demands on computer time and memory, so that the computations could be performed on the relatively primitive computers available at the time. Later models used more complete equations for atmospheric dynamics and thermodynamics
Atmospheric thermodynamics

In the physical sciences, atmospheric thermodynamics is the study of heat and energy transformations in the earth?s atmospheric system. Following the fundamental laws of classical thermodynamics, atmospheric thermodynamics studies such phenomena as properties of moist air, formation of clouds, atmospheric convection, boundary layer meteorolo...
.

Operational numerical weather prediction (i.e., routine predictions for practical use) began in 1955 under a joint project by the U.S. Air Force, Navy, and Weather Bureau.

Definition of a forecast model

A model, in this context, is a computer program that produces meteorological information for future times at given positions and altitudes. The horizontal domain of a model is either global, covering the entire Earth, or regional , covering only part of the Earth. Regional models also are known as limited-area models.

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The forecasts are computed using mathematical equations for the physics and dynamics of the atmosphere. These equations are nonlinear and are impossible to solve exactly. Therefore, numerical methods obtain approximate solutions. Different models use different solution methods. Some global models use spectral method
Spectral method

Spectral methods are a class of techniques used in applied mathematics and scientific computing to numerically solve certain partial differential equations , often involving the use of the Fast Fourier Transform....
s for the horizontal dimensions and finite difference method
Finite difference method

In mathematics, finite-difference methods are numerical methods for approximating the solutions to differential equations using finite difference equations to approximate derivatives....
s for the vertical dimension, while regional models and other global models usually use finite-difference methods in all three dimensions. Regional models also can use finer grids to explicitly resolve smaller-scale meteorological phenomena, since they do not have to solve equations for the whole globe.

Models are initialized using observed data from radiosonde
Radiosonde

A radiosonde is a unit for use in weather balloons that measures various Earth's atmosphere parameters and transmits them to a fixed receiver....
s, weather satellite
Weather satellite

A weather satellite is a type of satellite that is primarily used to monitor the weather and climate of the Earth. Satellites can be either polar orbiting, seeing the same swath of the Earth every 12 hours, or geostationary, hovering over the same spot on Earth by orbiting over the equator while moving at the speed of the Earth's rotation....
s, and surface weather observation
Surface weather observation

Surface weather observations are the fundamental data used for safety as well as climatology reasons to weather forecasting and issue warnings worldwide....
s. The irregularly-spaced observations are processed by data assimilation
Data assimilation

Applications of data assimilation arise in many geosciences, perhaps most importantly in weather forecasting and hydrology. Data assimilation proceeds by analysis cycles....
 and objective analysis methods, which perform quality control and obtain values at locations usable by the model's mathematical algorithms (usually an evenly-spaced grid). The data are then used in the model as the starting point for a forecast. Commonly, the set of equations used is known as the primitive equations
Primitive equations

The primitive equations are a set of nonlinear differential equations that are used to approximate global atmosphere and are used in most Global climate models....
. These equations are initialized from the analysis data and rates of change are determined. The rates of change predict the state of the atmosphere a short time into the future. The equations are then applied to this new atmospheric state to find new rates of change, and these new rates of change predict the atmosphere at a yet further time into the future. This time stepping procedure is continually repeated until the solution reaches the desired forecast time. The length of the time step is related to the distance between the points on the computational grid. Time steps for global climate model
Climate model

Climate models use quantitative methods to simulate the interactions of the Earth's atmosphere, oceans, land surface, and ice. They are used for a variety of purposes from study of the dynamics of the weather and climate system to projections of future climate....
s may be on the order of tens of minutes, while time steps for regional models may be a few seconds to a few minutes.

Ensembles

As proposed by Dr. Edward Lorenz in 1963, it is impossible to definitively predict the state of the atmosphere, owing to the chaotic nature
Chaos theory

In mathematics, chaos theory describes the behavior of certain dynamical system s ? that is, systems whose states evolve with time ? that may exhibit dynamics that are highly sensitive to initial conditions ....
 of the fluid dynamics
Fluid dynamics

In physics, fluid dynamics is the sub-discipline of fluid mechanics dealing with fluid flow — the natural science of fluids in motion....
 equations involved. Furthermore, existing observation networks have limited spatial and temporal resolution, especially over large bodies of water such as the Pacific Ocean, which introduces uncertainty into the true initial state of the atmosphere. To account for this uncertainty, stochastic or "ensemble" forecasting is used, involving multiple forecasts created with different model systems, different physical parametrizations
Parametrization (climate)

Parameterization in a climate model refers to the method of replacing processes that are too small-scale or complex to be physically represented in the model by a simplified process....
, or varying initial conditions. The ensemble forecast is usually evaluated in terms of the ensemble mean of a forecast variable, and the ensemble spread, which represents the degree of agreement between various forecasts in the ensemble system, known as ensemble members. A common misconception is that low spread amongst ensemble members necessarily implies more confidence in the ensemble mean. Although a spread-skill relationship sometimes exists, the relationship between ensemble spread and skill
Forecast skill

Skill in Forecasting or is a scaled representation of forecast error that relates the forecast accuracy of a particular forecast model to some reference model....
 varies substantially depending on such factors as the forecast model and the region for which the forecast is made.

See also

  • Tropical cyclone forecast model
  • Atmospheric physics
    Atmospheric physics

    Atmospheric physics is the application of physics to the study of the Earth's atmosphere. Atmospheric physicists attempt to model Earth's atmosphere and the atmospheres of the other planets using fluid dynamics equations, chemistry models, radiation balancing, and energy transfer processes in the atmosphere ....
  • Atmospheric thermodynamics
    Atmospheric thermodynamics

    In the physical sciences, atmospheric thermodynamics is the study of heat and energy transformations in the earth?s atmospheric system. Following the fundamental laws of classical thermodynamics, atmospheric thermodynamics studies such phenomena as properties of moist air, formation of clouds, atmospheric convection, boundary layer meteorolo...
  • Frederick Gale Shuman
    Frederick Gale Shuman

    Dr. Frederick Gale Shuman was an United States pioneer in the development of operational numerical weather prediction. Shuman participated in the major events that brought computer forecasting from academic concepts to the foundation of weather prediction....


Further reading


External links

  • - free maps and diagrams of NWP (high resolution NMM and GFS) data worldwide
  • (German only) - nearly all NWP data available plotted on charts
  • [https://www.fnmoc.navy.mil/PUBLIC/ Fleet Numerical Meteorology and Oceanography Center]