Finite analytic numerical method for unsteady two-dimensional Navier- Stokes equations
type: Item
instance of: scholarly article
title: Finite analytic numerical method for unsteady two-dimensional Navier- Stokes equations
zbMATH Open document ID: 0546.76042
DOI: 10.1016/0021-9991(84)90038-X
author: Ching-Jen Chen
author: Hamn-Ching Chen
published in: Journal of Computational Physics
publication date: 1984-01-01T00:00:00Z
review text: The main purpose of this paper is to develop a finite analytic (FA) numerical solution for unsteady two dimensional Navier-Stokes equations. The FA method utilizes the analytic solution in a small local element to formulate the algebraic representation of partial differential equations. In this study the combination of linear and exponential functions that satisfy the governing equation is adopted as the boundary function, thereby improving the accuracy of the finite analytic solution. Two flows, one a starting cavity flow and the other a vortex shedding flow behind a rectangular block, are solved by the FA method.
Mathematics Subject Classification ID: 76D05
Mathematics Subject Classification ID: 76M99
zbMATH DE Number: 3870825
zbMATH Keywords: finite analytic (FA) numerical solution
zbMATH Keywords: unsteady two dimensional
zbMATH Keywords: small local element
zbMATH Keywords: starting cavity flow
zbMATH Keywords: vortex shedding flow behind a rectangular block
MaRDI profile type: Publication
cites work: Q5664923
cites work: Q3727557
cites work: An ‘upwind’ finite element scheme for two‐dimensional convective transport equation
cites work: Q4188906
cites work: Further Accurate Representations of Partial Differential Equations by Finite-difference Methods
cites work: Finite element solutions of convective diffusion problems
cites work: Development of a second order approximation for the Navier-Stokes equations
cites work: Q5650069
cites work: Polynomial interpolation methods for viscous flow calculations
cites work: On cavity flow at high Reynolds numbers
cites work: Vorticity conditioning in the computation of two-dimensional viscous flows
cites work: Q4166278
cites work: Finite-element solution of Navier-Stokes equations for transient two- dimensional incompressible flow
full work available at URL: 0021-9991(84)90038-x
OpenAlex ID: W2065683902
description: scientific article; zbMATH DE number 3870825