Spurious Modes in Spectral Collocation Methods with Two Non-Periodic Directions

Abstract

Collocation implementation of the Kleiser-Schumann's method in geometries with two non-periodic directions is shown to suffer from three spurious modes--line, column and checkerboard--contaminating the computed pressure field. The corner spurious modes are also present but they do not affect evaluation of pressure related quantities. A simple methodology in the inversion of the influence matrix will efficiently filter out these spurious modes. Spectral methods; Spurious modes.

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Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1992
Accession Number
ADA256623

Entities

People

  • Ravi K. Madabhushi
  • Sivaramakrishnan Balachandar

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Aeronautics
  • Applied Mechanics
  • Boundaries
  • Computations
  • Computers
  • Differential Equations
  • Eigenvalues
  • Engineering
  • Equations
  • Flow
  • Incompressible Flow
  • Industrial Engineering
  • Molecular Dynamics
  • Momentum
  • Navier Stokes Equations
  • Poisson Equation
  • Pressure Gradients

Fields of Study

  • Physics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Structural Dynamics.