Time-marching aeroelastic and spatial adaptation procedures on triangular and tetrahedral meshes using an unstructured-grid Euler method

Russ David Rausch, Purdue University

Abstract

Two- and three-dimensional, unstructured-grid, upwind-type Euler codes were modified to include time-marching aeroelastic and spatial adaptation procedures on triangular and tetrahedral meshes. The modifications for the time-marching aeroelastic procedures involve the addition of the structural equations of motion for their simultaneous time integration with the governing flow equations. A detailed description of the time-marching aeroelastic procedures is presented along with comparisons of computed results with experimental data to assess the accuracy of the capability. Flutter results are shown for both two- and three-dimensional configurations including a NACA 0012 airfoil, an isolated 45$\sp\circ$ swept-back wing, and a supersonic transport configuration with a fuselage, clipped delta wing, and two identical rearward-mounted engine nacelles. The spatial adaptation procedures involve mesh enrichment and mesh coarsening to either add points in high gradient regions of the flow or remove points where they are not needed, respectively, in order to produce time-accurate solutions of high spatial accuracy at minimal computational cost. A detailed description of the enrichment and coarsening procedures is presented along with comparisons of computed results with experimental data to assess the accuracy of the capability. Steady results using the spatial adaptation procedures are shown for a NACA 0012 airfoil, an F-5 fighter wing, and an ONERA M6 wing. Unsteady results are shown for a NACA 0012 airfoil and a three-dimensional simulation of a one-dimensional shock tube problem. The computed results are shown to be of high spatial accuracy, primarily in that shock waves are sharply captured.

Degree

Ph.D.

Advisors

Yang, Purdue University.

Subject Area

Aerospace materials

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