Weather Prediction
The weather is a
fantastically
complex system, with
billions of
molecules
interacting. This
makes predicting the
weather an
incredibly difficult
task, even using the
extensive network of
weather stations,
satellites, and the
world’s largest
supercomputers.
History
650 B.C.
Babylonians
predicted
weather from
cloud
patterns
340 B.C.
Aristotle
described
weather
patterns in
Meteorologica
.
300 B.C.
Chinese
weather
predictions
are thought
to have taken
place in
historical
times.
1400
Leonardo da
Vinci built
the first
basic
hygrometer to
measure the
humidity of
air
1593
The well-
known Italian
physicist
Galileo
Galilei was
the first to
notice that
the density
of a liquid
changes in
proportion to
its
1643
Italian
physicist
Evangelista
Torricelli
invents the
barometer to
measure
atmospheric
pressure.
1701
Ole
Christensen
Rømer
transformed
the
thermoscope
into a
thermometer
by adding a
temperature
scale.
1835
Invention of
telegraph led
to modern age
of weather
forecasting.
1846
The state of
weather
forecasting at
this time was
stated quite
bluntly by
French
scientist and
Director of
the Royal
Observatory
François
Arago:
“Whatever may be
the progress of
sciences, NEVER
will observers who
are trust-worthy,
and careful of
their reputation,
venture to foretell
the state of the
weather.”
1854
Meteorologica
l Department
of the Board
of Trade was
first
established,
which is
better known
today as the
Met Office.
Robert
Fitzroy was
first
appointed
• Uses the latest weather
observation alongside a
mathematical computer
model of the atmosphere to
produce a weather forecast
• Met Office is recognized
as a world leader in NWP,
dating back to the
pioneering work of Lewis
Fry Richardson after he
joined the Met Office in
1913.
• NWP is now at the heart of
all weather forecasts and
warnings as well as much
of the research and
development undertaken to
understand our weather and
climate.
NUMERICAL WEATHER
PREDICTION (NWP)
1952
&
1965
1965
onward
s
OPERATIONAL NWP
FORECASTS AT THE MET
OFFICE
197O
s
GLOBAL EXCHANGE OF
WEATHER OBSERVATIONS
1971
IBM 360/195
COMPUTER
1972
10-LEVEL MODEL
1976
1980
s
FORECASTER
GUIDANCE
1982
GLOBAL CAPABILITY
1985
MESOSCALE NWP
1986
1990
1995
NOWCASTING
2000
SITE SPECIFIC
FORECASTS
2003
2005
MOVING THE SUPERCOMPUTER
ENSEMBLE FORECASTING
2010
2012
UK CONVECTIVE SCALE
MODEL CONVECTION
PERMITING ENSEMBLE
2015
2017
THE START OF
NWP IN THE UK
OCEAN WAVE FORECASTS
THE UNIFIED
MODEL
CHERNOBYL AND NAME
CRAY XC40 SUPERCOMPUTER
• The first part of the Met
Office’s latest
supercomputer arrived in
2015 and was fully
installed by 2017.
• It has 460,000 cores which
delivers a peak
performance of 16
petaflops. It has 2
petabytes of memory for
running complex
calculations and 24
petabytes of storage for
saving data.
• The increased power
enables even higher
resolution forecasts.
CRAY XC40
SUPERCOMPUTER
How Math is Involved
WEATHER
Charts and
Graphs
Numerical
Modeling
Water and
Temperature
Meters
Where does Math come in play
when studying weather?
IT’S ALL ABOUT EQUATIONS…
To predict the weather, meteorologists have sets
of equations based on the land’s geography and
starting weather conditions. With this
information they can calculate future forecast
by entering it into a computer to be processed.
The longer the time predicted, the less
accurate your prediction will be.
MATH HELPS US ORGANIZE…
Mathematical equations allows us to combine,
average, and solve information.
Using equations, geometry, estimating, charts,
graphs, and scales we can find answers to
weather concerns. Weather and math go hand in
hand.
SOME FUNDAMENTAL EQUATIONS
• Horizontal Momentum Equation
• Alternative Momentum Equation
• Interpretations
• Application of Horizontal Momentum Equation to Straight Jet
Streak Dynamics
• Mass Continuity Equation
• Thermodynamic Equation
• Derivation of Thermodynamic Equation: Part I
• Derivation of Thermodynamic Equation: Part II
• Hydrostatic Vertical Momentum Equation
• Water Conservation Equations
• Simple Water Process Diagram
Weather Prediction: History and Math
• One of the most important
techniques for making a
forecast is to use weather
maps to estimate
• You may estimate the speed
of movement of air masses,
fronts, and high and low
pressure systems
• Meteorologists have to
adjust the forecast for
differences in
• Latitude
• Possible acceleration /
deceleration
• Intensification of
storm systems
• Local effects (such as
topography, bodies of
water, and the urban
heat island effect)
ESTIMATING
• Maps are used to locate a
place in which the
meteorologist is going to
forecast the weather for.
They also show highs and
lows, pressures,
intensities, and humidity.
• Graphing is used here.
• Some maps used in
meteorology would include:
• Geographical Map
• Temperature map
• Pressure map
• Humidity map
• Precipitation map
• Forecast High and Low
temperature maps
CHARTS AND GRAPHS
• Analyzing past and current
weather is a huge part in
making a hypothesis for
the next weather forecast.
Meteorologists must use
past information and the
weather conditions it took
place in, to figure it
out. An easy way to
organize that information
is with Scales.
• Kinds of Scales
• Synoptic scale: air
masses, fronts, and
pressure systems
• Mesoscale: effects of
topography, bodies of
water, the urban heat
island, etc.
SCALES
• Being able to read the
temperatures and pressures
is key to organizing
weather material.
• You may have to measure,
temperature, water, and
air on many types of
scales.
READING TEMPERATURES
AND PRESSURES
THERMOMETER
HYDROMETER
BAROMETER HYGROMETER
ANEMOMETER
Applications of
Weather Prediction
• Air quality forecasting
attempts to predict when
the concentrations of
pollutants will attain
levels that are hazardous
to public health.
• The concentration of
pollutants in the
atmosphere is determined
by their transport, or
mean velocity of movement
through the atmosphere,
their diffusion, chemical
transformation, and ground
deposition.
AIR QUALITY
MODELING
• Tropical cyclone
forecasting also relies on
data provided by numerical
weather models.
• Three main classes of
tropical cyclone guidance
models exist:
• Statistical models
• analysis using
climatology, not based
on the physics of the
atmosphere at the time
• Dynamical models
• based on the same
principles as other
limited-area numerical
weather prediction
models but may include
special computational
techniques
• Statistical-Dynamical
models
TROPICAL CYCLONE
FORECASTING
• On a molecular scale,
there are two main
competing reaction
processes involved in the
degradation of cellulose,
or wood fuels, in
wildfires. When there is a
low amount of moisture in
a cellulose fiber,
volatilization of the fuel
occurs; this process will
generate intermediate
gaseous products that will
ultimately be the source
of combustion. When
moisture is present—or
when enough heat is being
carried away from the
fiber, charring occurs.
WILDFIRE MODELING
• Modeling the highly
complex shapes of wind-
blown, random sea surfaces
is fundamental to a wide
range of oceanographic
problems, which include
reflection and
transmission of light,
exchange of momentum and
energy between winds and
currents, loading of
structures, and ship
dynamics.
• Various mathematical
techniques for modeling
sea surfaces are therefore
widely used in
oceanography and ocean
engineering.
OCEAN SURFACE
MODELING
• Climate models use
quantitative methods to
simulate the interactions
of the important drivers
of climate, including
atmosphere, oceans, land
surface and ice.
• They are used for a
variety of purposes from
study of the dynamics of
the climate system to
projections of future
climate.
CLIMATE MODELING
Weather Prediction: History and Math

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Weather Prediction: History and Math

  • 2. The weather is a fantastically complex system, with billions of molecules interacting. This makes predicting the weather an incredibly difficult task, even using the extensive network of weather stations, satellites, and the world’s largest supercomputers.
  • 6. 300 B.C. Chinese weather predictions are thought to have taken place in historical times.
  • 7. 1400 Leonardo da Vinci built the first basic hygrometer to measure the humidity of air
  • 8. 1593 The well- known Italian physicist Galileo Galilei was the first to notice that the density of a liquid changes in proportion to its
  • 11. 1835 Invention of telegraph led to modern age of weather forecasting.
  • 12. 1846 The state of weather forecasting at this time was stated quite bluntly by French scientist and Director of the Royal Observatory François Arago: “Whatever may be the progress of sciences, NEVER will observers who are trust-worthy, and careful of their reputation, venture to foretell the state of the weather.”
  • 13. 1854 Meteorologica l Department of the Board of Trade was first established, which is better known today as the Met Office. Robert Fitzroy was first appointed
  • 14. • Uses the latest weather observation alongside a mathematical computer model of the atmosphere to produce a weather forecast • Met Office is recognized as a world leader in NWP, dating back to the pioneering work of Lewis Fry Richardson after he joined the Met Office in 1913. • NWP is now at the heart of all weather forecasts and warnings as well as much of the research and development undertaken to understand our weather and climate. NUMERICAL WEATHER PREDICTION (NWP)
  • 15. 1952 & 1965 1965 onward s OPERATIONAL NWP FORECASTS AT THE MET OFFICE 197O s GLOBAL EXCHANGE OF WEATHER OBSERVATIONS 1971 IBM 360/195 COMPUTER 1972 10-LEVEL MODEL 1976 1980 s FORECASTER GUIDANCE 1982 GLOBAL CAPABILITY 1985 MESOSCALE NWP 1986 1990 1995 NOWCASTING 2000 SITE SPECIFIC FORECASTS 2003 2005 MOVING THE SUPERCOMPUTER ENSEMBLE FORECASTING 2010 2012 UK CONVECTIVE SCALE MODEL CONVECTION PERMITING ENSEMBLE 2015 2017 THE START OF NWP IN THE UK OCEAN WAVE FORECASTS THE UNIFIED MODEL CHERNOBYL AND NAME CRAY XC40 SUPERCOMPUTER
  • 16. • The first part of the Met Office’s latest supercomputer arrived in 2015 and was fully installed by 2017. • It has 460,000 cores which delivers a peak performance of 16 petaflops. It has 2 petabytes of memory for running complex calculations and 24 petabytes of storage for saving data. • The increased power enables even higher resolution forecasts. CRAY XC40 SUPERCOMPUTER
  • 17. How Math is Involved
  • 19. IT’S ALL ABOUT EQUATIONS… To predict the weather, meteorologists have sets of equations based on the land’s geography and starting weather conditions. With this information they can calculate future forecast by entering it into a computer to be processed. The longer the time predicted, the less accurate your prediction will be. MATH HELPS US ORGANIZE… Mathematical equations allows us to combine, average, and solve information. Using equations, geometry, estimating, charts, graphs, and scales we can find answers to weather concerns. Weather and math go hand in hand.
  • 20. SOME FUNDAMENTAL EQUATIONS • Horizontal Momentum Equation • Alternative Momentum Equation • Interpretations • Application of Horizontal Momentum Equation to Straight Jet Streak Dynamics • Mass Continuity Equation • Thermodynamic Equation • Derivation of Thermodynamic Equation: Part I • Derivation of Thermodynamic Equation: Part II • Hydrostatic Vertical Momentum Equation • Water Conservation Equations • Simple Water Process Diagram
  • 22. • One of the most important techniques for making a forecast is to use weather maps to estimate • You may estimate the speed of movement of air masses, fronts, and high and low pressure systems • Meteorologists have to adjust the forecast for differences in • Latitude • Possible acceleration / deceleration • Intensification of storm systems • Local effects (such as topography, bodies of water, and the urban heat island effect) ESTIMATING
  • 23. • Maps are used to locate a place in which the meteorologist is going to forecast the weather for. They also show highs and lows, pressures, intensities, and humidity. • Graphing is used here. • Some maps used in meteorology would include: • Geographical Map • Temperature map • Pressure map • Humidity map • Precipitation map • Forecast High and Low temperature maps CHARTS AND GRAPHS
  • 24. • Analyzing past and current weather is a huge part in making a hypothesis for the next weather forecast. Meteorologists must use past information and the weather conditions it took place in, to figure it out. An easy way to organize that information is with Scales. • Kinds of Scales • Synoptic scale: air masses, fronts, and pressure systems • Mesoscale: effects of topography, bodies of water, the urban heat island, etc. SCALES
  • 25. • Being able to read the temperatures and pressures is key to organizing weather material. • You may have to measure, temperature, water, and air on many types of scales. READING TEMPERATURES AND PRESSURES THERMOMETER HYDROMETER BAROMETER HYGROMETER ANEMOMETER
  • 27. • Air quality forecasting attempts to predict when the concentrations of pollutants will attain levels that are hazardous to public health. • The concentration of pollutants in the atmosphere is determined by their transport, or mean velocity of movement through the atmosphere, their diffusion, chemical transformation, and ground deposition. AIR QUALITY MODELING
  • 28. • Tropical cyclone forecasting also relies on data provided by numerical weather models. • Three main classes of tropical cyclone guidance models exist: • Statistical models • analysis using climatology, not based on the physics of the atmosphere at the time • Dynamical models • based on the same principles as other limited-area numerical weather prediction models but may include special computational techniques • Statistical-Dynamical models TROPICAL CYCLONE FORECASTING
  • 29. • On a molecular scale, there are two main competing reaction processes involved in the degradation of cellulose, or wood fuels, in wildfires. When there is a low amount of moisture in a cellulose fiber, volatilization of the fuel occurs; this process will generate intermediate gaseous products that will ultimately be the source of combustion. When moisture is present—or when enough heat is being carried away from the fiber, charring occurs. WILDFIRE MODELING
  • 30. • Modeling the highly complex shapes of wind- blown, random sea surfaces is fundamental to a wide range of oceanographic problems, which include reflection and transmission of light, exchange of momentum and energy between winds and currents, loading of structures, and ship dynamics. • Various mathematical techniques for modeling sea surfaces are therefore widely used in oceanography and ocean engineering. OCEAN SURFACE MODELING
  • 31. • Climate models use quantitative methods to simulate the interactions of the important drivers of climate, including atmosphere, oceans, land surface and ice. • They are used for a variety of purposes from study of the dynamics of the climate system to projections of future climate. CLIMATE MODELING