Poisson equation

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Poisson equation

  1. The partial differential equation
    ams2001glos-Pe23
    where ∇2 is the Laplacian operator, φ a scalar function of position, and F a given function of the independent space variables.

    For the special case F = 0, the Poisson equation reduces to the Laplace equation.
    See relaxation method.

  2. The relationship between temperature T and pressure p of an ideal gas undergoing an adiabatic process; given by
    ams2001glos-Pe24
    where T0 and p0 are initial state values and κ is the Poisson constant. With p0 given as a reference pressure of 100 kPa, T0 is equal to the potential temperature.

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