Locally implicit total-variation-diminishing schemes on unstructuredtriangular meshes
Copyright policy )Locally implicit total-variation-diminishing schemes on unstructuredtriangular meshes
Summary: A numerical solution procedure that includes locally implicit total- variation-diminishing schemes and adaptive mesh generation techniques has been developed in this work. In a Cartesian coordinate system, the Euler equations are solved by using a cell-centered finite volume algorithm. A new construction of symmetric total-variation-diminishing schemes on unstructured triangular meshes is presented. The validation of the present solution-adaptive methods is confirmed by comparison with related numerical results for inviscid flows around an isolated NACA 0012 airfoil and passing through a channel with a circular arc bump in transonic and supersonic flow regimes. To further prove the feasibility of this approach, a two-element airfoil flow is also investigated. Furthermore, one unsteady transonic channel flow is studied to demonstrate the reliability and capability of the present solution procedure for a time accurate calculation.
adaptive mesh generation, transonic channel flow, Other numerical methods (fluid mechanics), locally implicit total-variation-diminishing schemes, NACA 0012 airfoil, Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics, Euler equations, compressible inviscid flow, Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs, cell-centered finite volume algorithm
adaptive mesh generation, transonic channel flow, Other numerical methods (fluid mechanics), locally implicit total-variation-diminishing schemes, NACA 0012 airfoil, Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics, Euler equations, compressible inviscid flow, Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs, cell-centered finite volume algorithm
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