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A Meshless and Matrix-Free Approach to Modeling Turbulent Fluid Flow

Matthew Wilkinson, Javier Villarreal, Andrew Meade*

William Marsh Rice University, Houston, Texas, 77251-1892, USA

* Corresponding Author:Andrew Meade. Email:

(This article belongs to this Special Issue: Advances in Computational Mechanics and Optimization
To celebrate the 95th birthday of Professor Karl Stark Pister

Computer Modeling in Engineering & Sciences 2021, 129(3), 1373-1393.


A meshless and matrix-free fluid dynamics solver (SOMA) is introduced that avoids the need for user generated and/or analyzed grids, volumes, and meshes. Incremental building of the approximation avoids creation and inversion of possibly dense block diagonal matrices and significantly reduces user interaction. Validation results are presented from the application of SOMA to subsonic, compressible, and turbulent flow over an adiabatic flat plate.


Cite This Article

Wilkinson, M., Villarreal, J., Meade, A. (2021). A Meshless and Matrix-Free Approach to Modeling Turbulent Fluid Flow. CMES-Computer Modeling in Engineering & Sciences, 129(3), 1373-1393.

This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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