Research Article

An estimation of the sensitivity of numerical error norm using adjoint model

  1. A. K. Alekseev1,
  2. I. M. Navon2,*

Article first published online: 30 JUL 2009

DOI: 10.1002/fld.2137

Issue

International Journal for Numerical Methods in Fluids

International Journal for Numerical Methods in Fluids

Volume 63, Issue 12, pages 1421–1434, 30 August 2010

Additional Information

How to Cite

Alekseev, A. K. and Navon, I. M. (2010), An estimation of the sensitivity of numerical error norm using adjoint model. International Journal for Numerical Methods in Fluids, 63: 1421–1434. doi: 10.1002/fld.2137

Author Information

  1. 1

    Moscow Institute of Physics and Technology, Moscow 141700, Russia

  2. 2

    Department of Scientific Computing, Florida State University, Tallahassee, FL 32306-4120, U.S.A.

*Department of Scientific Computing, Florida State University, Tallahassee, FL 32306-4120, U.S.A.

Publication History

  1. Issue published online: 21 JUL 2010
  2. Article first published online: 30 JUL 2009
  3. Manuscript Accepted: 18 JUN 2009
  4. Manuscript Revised: 16 JUN 2009
  5. Manuscript Received: 12 MAY 2008

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Keywords:

  • adjoint problem;
  • a posteriori error estimation;
  • numerical error norm;
  • sensitivity

Abstract

A posteriori estimation of the numerical error sensitivity to the local truncation error is addressed using adjoint model endowed with the information on the error field. The numerical error is estimated from the solution of the linear tangent model (LTM) or from a Richardson extrapolation. The local truncation error used in the LTM is obtained by the action of a high-order finite-difference stencil on the field computed by the main (low-order accuracy) algorithm. Copyright © 2009 John Wiley & Sons, Ltd.

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