A novel high-order finite volume scheme using flux correction methods in conjunction with structured finite difference schemes is extended to low Mach and incompressible flows on strand grids. Flux correction achieves high-order by explicitly canceling low-order truncation error terms in the finite volume cell. The flux correction method is applied in unstructured layers of the strand grid. The layers are then coupled together using a source term containing the derivatives in the strand direction. Strand-direction derivatives are obtained by using summation-by-parts operators for first-and second- derivatives. A preconditioner is used to extend the method to low Mach and incompressible flows. We further extend the method to turbulent flows with the Spalart-Allmaras model. Results of the turbulence model require further investigation, and turbulent results are incomplete at the writing of this paper. We verify high-order accuracy via the method of manufactured solutions. Results obtained for low-Mach and incompressible flows compare well to analytical solutions, numerical studies, and experimental data.
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