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References for Vertex Based Finite Volume Method |
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May 23, 2018, 21:27 |
References for Vertex Based Finite Volume Method
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#1 |
New Member
abcd efgh ijkl
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Dear All,
I am looking for reference books and/or articles for vertex-based finite volume method. I know details of cell-centered FVM method which are given in An Introduction to Computational Fluid Dynamics 2nd Edition by Versteeg Malalasekera and The Finite Volume Method in Computational Fluid Dynamics by Darwish M etc. But these books do not cover mathematical background vertex based FVM. Kindly suggest reference material(s) for this topic. Thank you. |
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May 24, 2018, 00:00 |
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#2 |
Super Moderator
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These books discuss vertex-centered schemes
J. Blazek: Computational Fluid Dynamics: Principles and Applications https://www.sciencedirect.com/scienc.../9780080999951 R. Lohner: Applied Computational Fluid Dynamics Techniques: An Introduction Based on Finite Element Methods https://www.wiley.com/en-us/Applied+...-9780470519073 Lohner's book is entirely vertex-based schemes. |
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May 24, 2018, 16:01 |
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#3 | |
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abcd efgh ijkl
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Quote:
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May 25, 2018, 19:20 |
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#4 |
Senior Member
Filippo Maria Denaro
Join Date: Jul 2010
Posts: 6,882
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Use the surface integral of the normal derivative and introduce a second order discretization based on the vertex colocation. The source term is a volume integral that you can approximate by mean value formula
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Tags |
finite volume method, vertex centred |
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