This paper presents an extension of the Flux Reconstruction (FR) method to viscous flow problems on triangular elements using collapsed-edge tensor product quadrilaterals. First, an overview of the direct Flux Reconstruction (DFR) formulation of the FR method is given. Following this, a description of the procedure to apply the tensor product FR formulation on quadrilaterals directly to triangular elements is provided. Results verifying that the developed methodology maintains the expected order of accuracy for linear and nonlinear fluxes on triangular meshes are provided, specifically for an advection-diffusion problem and planar Couette flow problem. Followint this, the results of an additional test case solving the Navier-Stokes equations viscous flow around a NACA0012 airfoil geometry using curved elements and a mixed mesh are presented, illustrating the performance of the developed methodology for more realistic flows.
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