A High Order Phase Accurate FE Algorithm for Free-Surface Wave Propagation
نویسنده
چکیده
Achieving improved order of accuracy for a hydrodynamic numerical method is a continuing quest. The discrete approximate solution error, in general, can be expressed as a truncation of a Taylor series expansion. This paper presents a weak statement perturbation methodology retaining block-tridiagonal forms that can reduce, or annihilate in special cases, the Taylor series truncation error to high order. The procedure is analyzed via a von Neumann frequency analysis using Macsyma. Veriication tests are included with applications to depth-averaged ow formulations.
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