Open Access

ARTICLE

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 the 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. https://doi.org/10.32604/cmes.2021.017883

Received 04 June 2021; Accepted 06 July 2021; Issue published 25 November 2021

Abstract

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.

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