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  2. Heat equation - Wikipedia

    en.wikipedia.org/wiki/Heat_equation

    The part of the disturbance outside the forward light cone can usually be safely neglected, but if it is necessary to develop a reasonable speed for the transmission of heat, a hyperbolic problem should be considered instead – like a partial differential equation involving a second-order time derivative. Some models of nonlinear heat ...

  3. Crank–Nicolson method - Wikipedia

    en.wikipedia.org/wiki/Crank–Nicolson_method

    The Crank–Nicolson stencil for a 1D problem. The Crank–Nicolson method is based on the trapezoidal rule, giving second-order convergence in time.For linear equations, the trapezoidal rule is equivalent to the implicit midpoint method [citation needed] —the simplest example of a Gauss–Legendre implicit Runge–Kutta method—which also has the property of being a geometric integrator.

  4. Numerical modeling (geology) - Wikipedia

    en.wikipedia.org/wiki/Numerical_modeling_(geology)

    Plate tectonics is a theory suggesting that the Earth's lithosphere is essentially composed of plates floating on the mantle. [97] The mantle convection model is fundamental in modeling the plates floating on it, and there are two major approaches to incorporate the plates into this model: rigid-block approach and rheological approach. [2]

  5. Convection (heat transfer) - Wikipedia

    en.wikipedia.org/wiki/Convection_(Heat_transfer)

    Note that this definition of convection is only applicable in Heat transfer and thermodynamic contexts. It should not be confused with the dynamic fluid phenomenon of convection , which is typically referred to as Natural Convection in thermodynamic contexts in order to distinguish the two.

  6. Heat transfer physics - Wikipedia

    en.wikipedia.org/wiki/Heat_transfer_physics

    The photon Hamiltonian for the quantized radiation field (second quantization) is [37] [38] = (+) =, († +), where e e and b e are the electric and magnetic fields of the EM radiation, ε o and μ o are the free-space permittivity and permeability, V is the interaction volume, ω ph,α is the photon angular frequency for the α mode and c α ...

  7. Convection - Wikipedia

    en.wikipedia.org/wiki/Convection

    In the second type, subducting oceanic plates (which largely constitute the upper thermal boundary layer of the mantle) plunge back into the mantle and move downwards towards the core-mantle boundary. Mantle convection occurs at rates of centimeters per year, and it takes on the order of hundreds of millions of years to complete a cycle of ...

  8. Combined forced and natural convection - Wikipedia

    en.wikipedia.org/wiki/Combined_forced_and...

    The second case is when natural convection acts in the opposite way of the forced convection. Consider a fan forcing air upward over a cold plate. [5] In this case, the buoyant force of the cold air naturally causes it to fall, but the air being forced upward opposes this natural motion.

  9. Upwind scheme - Wikipedia

    en.wikipedia.org/wiki/Upwind_scheme

    In computational physics, the term advection scheme refers to a class of numerical discretization methods for solving hyperbolic partial differential equations.In the so-called upwind schemes typically, the so-called upstream variables are used to calculate the derivatives in a flow field.