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A Method for Computing Nonsteady, Incompressible, Viscous Fluid Flows
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In this article, a detailed description of a method for obtaining numerical solutions to nonsteady incompressible fluid flow problems is given, including stability properties of the finite difference equations, and boundary and initial conditions appropriate to current applications of the numerical program.Abstract:
: A detailed description is given of a method for obtaining numerical solutions to nonsteady incompressible fluid flow problems Included are discussions of stability properties of the finite difference equations, and boundary and initial conditions appropriate to current applications of the numerical program Solutions are given for flows about obstacles in a channel at various Reynolds members, with emphasis given to the process of development of the Karman vortex streetread more
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Journal ArticleDOI
Computational Design for Long-Term Numerical Integration of the Equations of Fluid Motion
TL;DR: In this article, it was shown that the derived form of the finite difference Jacobian can prevent nonlinear computational instability and thereby permit long-term numerical integrations, which is not the case in finite difference analogues of the equation of motion for two-dimensional incompressible flow.
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On the computational stability of numerical solutions of time-dependent non-linear geophysical fluid dynamics problems
TL;DR: In this article, the conservation and stability properties of the spatial differencing methods devised by Arakawa are investigated by means of spectral analysis of the stream function into finite Fourier modes.
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Numerical Simulation of Viscous Incompressible Flows
Steven A. Orszag,Moshe Israeli +1 more
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Numerical simulation of incompressible flows within simple boundaries: accuracy
TL;DR: Galerkin (spectral) methods for numerical simulation of incompressible flows within simple boundaries are shown to possess many advantages over existing finite-difference methods as mentioned in this paper, and the accuracy of Galerkin approximations obtained from truncated Fourier expansions is explored.
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Turnover of Ribosomal RNA in Rat Liver
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