Paper Title:
The Patch Test of Numerical Manifold Schemes with Mixed Cover Coupled Velocity and Pressure for Steady N-S Equations
  Abstract

In numerical manifold schemes for direct solution of steady Navier-Stokes equations, mixed cover for velocity and pressure was adopted in finite element cover system. The patch test of numerical schemes was investigated, mixed cover manifold element has been proved to meet the stability conditions, and can be applied to directly solve Navier-Stokes equations coupled velocity and pressure. As an application, the numerical manifold schemes were used to simulate the steady flow past a step. Numerical solutions illustrate the stability of numerical manifold schemes, and it indicates that manifold method is an effective numerical method for steady Navier-Stokes equations.

  Info
Periodical
Advanced Materials Research (Volumes 378-379)
Chapter
Chapter 1: Applied Mechanics and Materials
Edited by
Brendan Gan, Yu Gan and Y. Yu
Pages
68-71
DOI
10.4028/www.scientific.net/AMR.378-379.68
Citation
S. P. Chen, Z. R. Zhang, J. H. Yan, "The Patch Test of Numerical Manifold Schemes with Mixed Cover Coupled Velocity and Pressure for Steady N-S Equations", Advanced Materials Research, Vols. 378-379, pp. 68-71, 2012
Online since
October 2011
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Price
$32.00
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