An Implicit Finite-difference Method to Solve Incompressible Fluid Flow

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概要

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• An implicit finite-difference method to solve an incompressible fluid flow is proposed. In the method primitive variables (velocity and pressure of the fluid) are used, and an idea that the Navier-Stokes equations have a certain invariant in each iteration is introduced. As a numerical example, a two-dimensional transient Womersley flow is calculated. It is shown that the method has an accuracy of 0(Δt) (Δt : discretized time increment), and the accuracy of the present method is found to be satisfactory by comparison with the analytic and the existing methods.

• 一般社団法人日本機械学会の論文

著者

• Takemitsu Nobumasa

  Faculty Of Engineering Keio University

• Takemitsu Nobumasa

  Faculty Of Engineering Tokyo Denki University

関連論文

• An Implicit Finite-difference Method to Solve Incompressible Fluid Flow
• Some Finite-difference Methods to Analyze Incompressible Fluid Flow
• On the Formula of the Higher Derivative of the Quotient g(x)/f(x) : A Method to Determine the Order and the Asymptotic Error Constant of a Given Iteration Function

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