ADAPTIVE FINITE ELEMENT METHODS FOR COMPRESSIBLE FLOW PROBLEMS.
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In this paper, the authors summarize recent work on adaptive finite element methods for the solution of transient Euler equations in two-dimensional domains. A common theme in contemporary computational fluid dynamics (CFD) literature is the generation of appropriate meshes for large-scale calculations. The reason that adaptive finite element methods have something special to offer in CFD is: (1) To judge the quality of a solution, one must have a means for a-posteriori error estimation. Such estimates are available for finite element methods; (2) To change the structure of an approximation, one must have the means to distort meshes, add or subtract mesh cells, and enrich local approximations in a way that is independent of the geometry of the flow domain and of a global coordinate system; finite elements provide the flexibility to satisfy these requirements.
American Society of Mechanical Engineers, Applied Mechanics Division, AMD
author list (cited authors)
Oden, J. T., Strouboulis, T., & Devloo, P.
complete list of authors
Oden, JT||Strouboulis, T||Devloo, P