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Solution of discretized Navier-Stokes equations

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Old   May 6, 2024, 18:15
Default Solution of discretized Navier-Stokes equations
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Karol Hojka
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CFD beginner here. I want to understand how we go from the finite-volume discretized N-S momentum equations to a system of linear equations. I understand that we have to assemble a matrix of coefficients and I did this on paper for a 2D staggered grid but I'm not sure if what I came up with is actually correct, and most online sources seem to gloss over this step. Could someone explain or link to any beginner-friendly resources?
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Old   May 6, 2024, 18:26
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This process is fairly well explained in many textbook.

An Introduction to Computational Fluid Dynamics by H K Versteeg and W Malalasekera and Finite Volume Methods for Hyperbolic Problems by Randall LeVeque are the one I studied.

Versteeg and Malalasekera gets the job done to walk you through the basic ideas, LeVeque has a good depth, you end up coming back to the examples even when you're seasoned in the field.
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Old   May 7, 2024, 04:50
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Filippo Maria Denaro
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Other basic CFD textbooks are Anderson and Ferziger, Peric, Street
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discretization, finite volume method, navier stokes

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