Journal ArticleDOI
Digital simulation of periodic fluid flow in a bifurcation
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TLDR
In this article, a finite difference technique for solving a pulsatile fluid flow problem through a bifurcation is described, where the finite difference is used to solve the problem.About:
This article is published in Computers & Fluids.The article was published on 1974-12-01. It has received 15 citations till now. The article focuses on the topics: Pulsatile flow & Fluid dynamics.read more
Citations
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Calculations of pulsatile flow through a branch: implications for the hemodynamics of atherogenesis.
TL;DR: Comparisons with a steady-flow calculation at the same mean flow rate showed that the severity of all of these proposed hemodynamic determinants was increased by pulsatility.
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An Ad Hoc SOR Method
TL;DR: In this paper, an ad hoc method is presented for determining a sequence of successive overrelaxation factors (ω) that, although having no rigorous foundations at the moment, appears to produce a highly competitive iteration scheme for several classes of difference equations.
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Unsteady flow in a branch
TL;DR: In this article, a two-dimensional bifurcation was selected to provide preliminary information on branch flow dynamics, and digital solutions for two flux waves have been obtained to reveal temporal and spatial distributions of shear and separation in pulsatile flow.
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Biophysical analyses of blood vessel walls and blood flow.
TL;DR: A survey of the literature from 1972 to 1975 inclusive suggests that the major developments have come from better instrumentation, and more extensive use of mathematical and physical models.
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Simulation of unsteady flow at renal branches
Vivian O'Brien,Louis W. Ehrlich +1 more
TL;DR: The unsteady viscous laminar flow through a rigid two-dimensional orthogonal branch, an idealization of blood flow at the junction the renal arteries make with the abdominal aorta, has been simulated by nonlinear finite-difference calculations.
References
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Journal ArticleDOI
Difference Methods for Initial-Value Problems.
Difference methods for initial-value problems
Robert D. Richtmyer,K. W. Morton +1 more
TL;DR: In this article, differentielles and stabilite were used for differentiable transport in the context of transfert de chaleur and ondes Reference Record created on 2005-11-18, modified on 2016-08-08
The potential calculation and some applications
TL;DR: A potential calculation from given source distribution, including direct and iterative methods, error analysis, convergence, computer programs and applications in plasma physics, can be found in this article, where the authors present a detailed discussion.
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A Fast Direct Solution of Poisson's Equation Using Fourier Analysis
TL;DR: This work has developed a direct method of solution involving Fourier analysis which can solve Poisson''s equation in a square region covered by a 48 x 48 mesh in 0.9 seconds on the IBM 7090.
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The direct solution of the discrete Poisson equation on irregular regions
TL;DR: There are several very fast direct methods which can be used to solve the discrete Poisson equation on rectangular domains as discussed by the authors, and these methods can be also used to treat problems on irregular regions.