منابع مشابه
Notes on Advection
where a(x, t) is some scalar quantity and u is the velocity at which it is advected (u > 0 advects to the right). The solution to Eq. 1 is to simply take the initial data, a(x, t = 0), and displace it to the right at a speed u. The shape of the initial data is preserved in the advection. Many hyperbolic systems of PDEs, e.g. the equations of hydrodynamics, can be written in a form that looks li...
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Ideally, discretization methods for propagating waves should combine both high resolution for smooth solutions and L1-stability for nonsmooth solutions. Hermite methods are high-order polynomialbased spectral element methods for hyperbolic systems with a number of unique properties. A Hermite method whose degrees-of-freedom are the coefficients of a tensor-product Taylor polynomial of degree m ...
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Recent papers discussing advection-dominated accretion Ñows (ADAF) as a solution for astrophysical accretion problems should be treated with some caution because of their uncertain physical basis. The suggestions underlying ADAF involve ignoring the magnetic Ðeld reconnection in heating of the plasma Ñow, assuming electron heating due only to binary Coulomb collisions with ions. Here we analyze...
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In the fourth installment of the celebrated series of five papers entitled “Towards the ultimate conservative difference scheme”, Van Leer (1977) introduced five schemes for advection, the first three are piecewise linear, and the last two, piecewise parabolic. Among the five, scheme I, which is the least accurate, extends with relative ease to systems of equations in multiple dimensions. As a ...
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We study a number of non-equilibrium models of interest to both active matter and biological physicists. Using microscopic agent-based simulation as well as numerical integration of stochastic PDEs, we uncover the non-trivial behaviour exhibited when active transport, or an advection field, is added to out of equilibrium systems. When gravity is included in the celebrated Fisher-Kolmogoroff Pet...
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ژورنال
عنوان ژورنال: Journal of the Meteorological Society of Japan. Ser. II
سال: 1938
ISSN: 0026-1165,2186-9057
DOI: 10.2151/jmsj1923.16.2_43