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Orthogonal transformations of differential-difference schemes. Introduction to discrete analysis
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Vladimir A. Korobitsyn
Veröffentlicht/Copyright:
23. Juli 2014
Abstract
Transformations of consistent discrete approximations of first derivatives in the passage from Cartesian coordinates to an orthogonal curvilinear system and transformations of discrete operations of vector analysis on skewed grids on a plane are studied in the paper. It is established that the transformation algorithm for discrete operators preserves symmetries of discrete solutions relative to coordinate curves inherent from differential system of equations. It also maintains the consistency of discrete operators, which allows us to construct completely conservative differential-difference schemes for discrete domains with curvilinear boundaries.
Keywords: Compatible discrete approximations; basis operators; discrete analogue of integral relation; volume change law.
Published Online: 2014-7-23
Published in Print: 2014-8-1
© 2014 by Walter de Gruyter Berlin/Boston
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- Masthead
- Numerical prediction of laminar-turbulent transition on an airfoil
- Orthogonal transformations of differential-difference schemes. Introduction to discrete analysis
- Mixed FE method with piece-wise constant fluxes on polyhedral meshes
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Schlagwörter für diesen Artikel
Compatible discrete approximations;
basis operators;
discrete analogue of integral relation;
volume change law.
Artikel in diesem Heft
- Masthead
- Numerical prediction of laminar-turbulent transition on an airfoil
- Orthogonal transformations of differential-difference schemes. Introduction to discrete analysis
- Mixed FE method with piece-wise constant fluxes on polyhedral meshes
- The error analysis for spectral models of the sea surface undulation
- Numerical statistical modelling algorithms for electron avalanches in gases
