Two-Dimensional Compact-Finite-Difference Schemes for Solving the bi-Laplacian Operator with Homogeneous Wall-Normal Derivatives

Two-Dimensional Compact-Finite-Difference Schemes for Solving the bi-Laplacian Operator with Homogeneous Wall-Normal Derivatives

In fluid mechanics, the bi-Laplacian operator with Neumann homogeneous boundary conditions emerges when transforming the Navier–Stokes equations to the vorticity–velocity formulation. In the case of problems with a periodic direction, the problem can be transformed into multiple, independent, two-di...

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Bibliographic Details
Main Authors: Jesús Amo-Navarro, Ricardo Vinuesa, J. Alberto Conejero, Sergio Hoyas
Format: Article
Language:English
Published: MDPI AG 2021-10-01
Series:Mathematics
Subjects:
DNS
CFD
turbulence
bi-Laplacian
fourth-order elliptic
Online Access:https://www.mdpi.com/2227-7390/9/19/2508

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