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

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.

Automated summary

SOMA is a meshless and matrix-free fluid dynamics solver that eliminates the need for user-generated grids, volumes, and meshes. By incrementally building the approximation, dense block diagonal matrices are avoided and user interaction is significantly reduced. Validation results demonstrate the effectiveness of SOMA in subsonic, compressible, and turbulent flow over an adiabatic flat plate.