lect_01_ - Coordinate Systems To describe the location in...

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1 Coordinate Systems • To describe the location in space of a point in a fluid, a coordinate system is used. • A commonly used coordinate system is the rectangular, or x,y,z system (also known as Cartesian). x y z x 0 y 0 z 0 (x 0 ,y 0 ,z 0 ) • Rectangular coordinates are often used to describe motions of the atmosphere or ocean, even though the earth is a sphere. • In so doing, one assumes that the x-y plane is tangent to the surface of the spherical earth. • General convention for use of rectangular coordinates: x is a measure of distance from some origin and increases toward the east . y is a measure of distance from some origin and increases toward the north . z is zero at surface of earth and increases upward .
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2 Fundamental Mathematical Concepts and Operations • Fundamental state variables such as wind speed, temperature and pressure are functions of (i.e., depend upon) the independent variables (x, y, z, t). • For example, atmospheric pressure can be expressed as a function of space and time: ( ) t z y x P P , , , = Derivatives Assume
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This note was uploaded on 10/25/2011 for the course ENVSCI 324 taught by Professor Broccoli during the Spring '11 term at Rutgers.

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lect_01_ - Coordinate Systems To describe the location in...

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