Finite volumes numerical schemes : Order 2 extension

Order 2 extension
Finite volumes numerical schemes

Authors : Bruno DESPRES, Nicolas SEGUIN

Publication date: April 10, 2012 | Lire en français

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4. Order 2 extension

Finite volume schemes are by construction of order 1 in space, i.e. they approximate the exact equation in O (h). For problems dominated by transport, or at least in which transport plays a decisive role, experience shows that order 1 is largely insufficient. In practice, excessive numerical scattering is added to the scattering of physical origin. Consider the coupled problem in section 1.2.5 . For constant coefficients...

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Order 2 extension

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Bibliography

(1) - EYMARD (R.), GALLOUET (T.), HERBIN (R.) - Finite Volume methods - Handbook of Numerical Analysis (2000).
(2) - DUBOIS (F.), DESPRES (B.) - Systèmes hyperboliques et dynamique des gaz, application à la dynamique des gaz - Éditions de l'École Polytechnique (2005).

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Order 2 extension Finite volumes numerical schemes

4. Order 2 extension

Bibliography

Order 2 extension
Finite volumes numerical schemes