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Continuity equation

About: Continuity equation is a research topic. Over the lifetime, 3856 publications have been published within this topic receiving 86950 citations. The topic is also known as: Equation of continuity & Continuity equation.


Papers
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Journal ArticleDOI
TL;DR: In this article, a general, numerical, marching procedure is presented for the calculation of the transport processes in three-dimensional flows characterised by the presence of one coordinate in which physical influences are exerted in only one direction.

5,946 citations

Journal ArticleDOI
TL;DR: In this paper, a numerical method for computing three-dimensional, time-dependent incompressible flows is presented based on a fractional-step, or time-splitting, scheme in conjunction with the approximate-factorization technique.

2,997 citations

Journal ArticleDOI
TL;DR: A class of explicit, Eulerian finite-difference algorithms for solving the continuity equation which are built around a technique called “flux correction,” which yield realistic, accurate results.

1,946 citations

Journal ArticleDOI
TL;DR: In this article, the Brinkman correction is used to accommodate ano slip condition at an interface between a porous medium and a bounding solid surface, and the analysis clearly indicates why the Brimmerman correction should not be used to adjust the slip condition.
Abstract: Stokes flow through a rigid porous medium is analyzed in terms of the method of volume averaging. The traditional averaging procedure leads to an equation of motion and a continuity equation expressed in terms of the volume-averaged pressure and velocity. The equation of motion contains integrals involving spatial deviations of the pressure and velocity, the Brinkman correction, and other lower-order terms. The analysis clearly indicates why the Brinkman correction should not be used to accommodate ano slip condition at an interface between a porous medium and a bounding solid surface.

1,605 citations

Journal ArticleDOI
TL;DR: A new approach to the stabilization of numerical schemes in magnetohydrodynamic processes in which the divergence errors are transported to the domain boundaries with the maximal admissible speed and are damped at the same time is developed.

1,194 citations


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Performance
Metrics
No. of papers in the topic in previous years
YearPapers
20224
2021117
2020137
2019122
2018111
2017119