Analysis of numerical errors in large eddy simulation
SIAM Journal on Numerical Analysis (2002)
- ISSN: 00361429
- DOI: 10.1137/S0036142900375554
Available from www.jstor.org
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Available from www.jstor.org
Page 1
Analysis of numerical errors in large eddy simulation
Analysis of Numerical Errors
Milovan Perić
CD-adapco, Nürnberg Office
www.cd-adapco.com
Milovan Perić
CD-adapco, Nürnberg Office
www.cd-adapco.com
Page 2
Introduction
Numerical solutions are approximate solutions – they always
contain errors...
There are three kinds of systematic (unavoidable) errors...
… and any number of programming and user errors...
The unavoidable errors are:
− Modelling errors: the difference between nature and exact
solution of mathematical model (differential equations)
− Discretization errors: the difference between exact solution
of discretized equations and exact solution of differential
equations.
− Iteration errors: the difference between exact and iterative
solution of discretized equations.
Numerical solutions are approximate solutions – they always
contain errors...
There are three kinds of systematic (unavoidable) errors...
… and any number of programming and user errors...
The unavoidable errors are:
− Modelling errors: the difference between nature and exact
solution of mathematical model (differential equations)
− Discretization errors: the difference between exact solution
of discretized equations and exact solution of differential
equations.
− Iteration errors: the difference between exact and iterative
solution of discretized equations.
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