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Developing an Integral Equation Solution for the Incompressible Navier-Stokes Equations

JSHS · 2020

Melody Guo, Dr. Deanna Pickel · Oak Ridge High School Oak Ridge, TN

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Overview

Mrs. Jessica Williams Dr. Leonard Gray Computational modeling of viscous fluids has numerous industrial applications, and improving upon current fluid models, especially those for nonlinear fluids, while reducing computation time is of great interest. This project develops an algorithm to compute the "body force" volume integral derived from a Stokes boundary integral formulation of a general 3D axisymmetric fluid. To do so, the axi-symmetric volume integral is reformulated as the sum of a boundary integral and remainder volume integral, and a Galerkin approximation is then implemented for the integral equations. Simple numerical tests are used to verify the algorithm for the nonhomogeneous axi- symmetric Stokes equations.

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Competition history

  • JSHS 2020 Category not listed

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Source: Junior Science and Humanities Symposium

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