Progress on a Taylor weak statement finite element algorithm for high-speed aerodynamic flowsA new finite element numerical Computational Fluid Dynamics (CFD) algorithm has matured to the point of efficiently solving two-dimensional high speed real-gas compressible flow problems in generalized coordinates on modern vector computer systems. The algorithm employs a Taylor Weak Statement classical Galerkin formulation, a variably implicit Newton iteration, and a tensor matrix product factorization of the linear algebra Jacobian under a generalized coordinate transformation. Allowing for a general two-dimensional conservation law system, the algorithm has been exercised on the Euler and laminar forms of the Navier-Stokes equations. Real-gas fluid properties are admitted, and numerical results verify solution accuracy, efficiency, and stability over a range of test problem parameters.
Document ID
19890038146
Acquisition Source
Legacy CDMS
Document Type
Conference Paper
Authors
Baker, A. J. (Tennessee, University Knoxville, United States)
Freels, J. D. (Tennessee Univ. Knoxville, TN, United States)