NASA NTRS · 19910037655
A locally refined rectangular grid finite element method - Application to computational fluid dynamics and computational physics
Abstract
The present FEM technique addresses both linear and nonlinear boundary value problems encountered in computational physics by handling general three-dimensional regions, boundary conditions, and material properties. The box finite elements used are defined by a Cartesian grid independent of the boundary definition, and local refinements proceed by dividing a given box element into eight subelements. Discretization employs trilinear approximations on the box elements; special element stiffness matrices are included for boxes cut by any boundary surface. Illustrative results are presented for representative aerodynamics problems involving up to 400,000 elements.
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Young, David P., Melvin, Robin G., Bieterman, Michael B., Johnson, Forrester T., Samant, Satish S.. 1991-01-01. A locally refined rectangular grid finite element method - Application to computational fluid dynamics and computational physics. https://ntrs.nasa.gov/citations/19910037655
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