A note on the eigenvalues and eigenvectors for upwind methods

Prabhu, DK and Ravi, K (1992) A note on the eigenvalues and eigenvectors for upwind methods. Technical Report. National Aerospace Laboratories, Bangalore, India.

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Abstract

Upwind methods form the basis numerical schemes and are13; spectrum of the governing quite difficult to derive 13; eigenvectors for a given problem. attempt has been made to get physically meaningful formulation analysis presented is completely choice of coordinate systems multi-dimensional problems. involved in the derivations note and the results are given Although the entire analysis with a finite-volume formulation analysis is applicable to as well . Also, the present an ideal gas model . However, the use of this analysis in non-equilibrium flows if one assumption of an quot;effective of many based on equations the eigenvalues In a consistent of and is All the are contained has been in analysis this does either makes 7quot; independent in compact a finite-difference modern the eigenvalue It is often and this note an and the problem of the applicable to detailed steps in this forms. carried out mind, the method is strictly for not preclude the use of this analysis in either equilibrium or non-equilibrium flows if one makes the usual assumption of an quot;effective Yquot;.

Item Type: Monograph (Technical Report)
Uncontrolled Keywords: Compressible flows;Numerical methods;Eigenvalues;Eigenvectors13; Methods;Upwind
Subjects: ENGINEERING > Fluid Mechanics and Thermodynamics
Depositing User: Users 20 not found.
Date Deposited: 20 Jun 2006
Last Modified: 24 May 2010 04:13
URI: http://nal-ir.nal.res.in/id/eprint/1738

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