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Article

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1998

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Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/18792

Discretized integral hydrodynamics

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http://dx.doi.org/10.1103/PhysRevE.58.1843

Abstract

Using an interpolant form for the gradient of a function of position, we write an integral version of the conservation equations for a fluid. In the appropriate limit, these become the usual conservation laws of mass, momentum, and energy. We also discuss the special cases of the Navier-Stokes equations for viscous flow and the Fourier law for thermal conduction in the presence of hydrodynamic fluctuations. By means of a discretization procedure, we show how the integral equations can give rise to the so-called particle dynamics of smoothed particle hydrodynamics and dissipative particle dynamics.

Subject

Teoria quàntica, Teoria de camps (Física), Relativitat especial (Física), Física matemàtica, Química física

Subject (English)

Quantum theory, Field theory (Physics), Special relativity (Physics), Physical and theoretical chemistry, Mathematical physics

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Articles publicats en revistes (Física de la Matèria Condensada)

Citation

ROMERO-ROCHÍN, V. and RUBÍ CAPACETI, José Miguel. Discretized integral hydrodynamics. Physical Review E. 1998. Vol. 58, num. 2, pags. 1843. ISSN 1063-651X. [consulted: 17 of June of 2026]. Available at: https://hdl.handle.net/2445/18792

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