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Nov 12, 2007:
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High-Order Methods for Fluid and Solid Mechanics
The 3DG group consists of faculty members, postdocs, and graduate students in the Departments of Aero/Astro and Mathematics at MIT. We are interested in the development and application of high-order accurate solvers for computational fluid and solid mechanics. The methods we use are based on the Discontinuous Galerkin method, in particular our Compact Discontinuous Galerkin (CDG) method for the discretization of viscous problems. We are applying our tools to a wide range of applications, and our current research includes computational study of flapping flight, aeroacoustics, drag prediction for bluff body flows, and transonic and supersonic flows.
The 3DG Software Package
Our 3DG software package is a general purpose modular framework for high-order solution of conservation laws on unstructured meshes. It contains routines for mesh generation and preprocessing, assembly and Jacobian calculations, explicit and implicit solvers, and visualization and postprocessing. The framework has been used successfully for a wide range of applications, including the compressible Navier-Stokes equations, the Reynolds Averaged Navier-Stokes equations, various ALE formulations for deforming domains, and a Lagrangian formulation for nonlinear structures.