A Three-Point Sixth-Order Nonuniform Combined Compact Difference Scheme

Abstract

A three-point nonuniform combined compact difference (NCCD) scheme with sixth-order accuracy is proposed for numerical models. The NCCD scheme is a generalization of the previously proposed combined compact difference (CCD) scheme with a global Hermitan polynomial spline and has major improved features such as error and computational (CPU) time reduction. For nonperiodic boundaries, additional sixth- or fifth-order nonuniform boundary conditions are proposed. The NCCD scheme with either sixth- or fifth-order additional boundary conditions can increase the accuracy and decrease the CPU time about 1-2 orders of magnitude, compared to the CCD scheme.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1999
Accession Number
ADA575160

Entities

People

  • Chenwu Fan
  • Peter Cheng Chu

Organizations

  • Naval Postgraduate School

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Accuracy
  • Algorithms
  • Boundaries
  • Cartesian Coordinates
  • Coordinate Systems
  • Difference Equations
  • Differential Equations
  • Equations
  • Errors
  • Grids
  • Gulf Stream
  • High Resolution
  • Low Resolution
  • Nonuniform
  • Oceans
  • Partial Differential Equations
  • Two Dimensional

Fields of Study

  • Physics

Readers

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