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A high‐order discontinuous Galerkin method for extension problems
Author(s) -
Utz Thomas,
Kummer Florian
Publication year - 2017
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.4464
Subject(s) - extension (predicate logic) , discretization , mathematics , discontinuous galerkin method , galerkin method , gravitational singularity , matrix (chemical analysis) , finite element method , mathematical analysis , computer science , physics , materials science , composite material , thermodynamics , programming language
Summary We present a novel technique for solving extension problems such as the extension velocity, by reformulating the problem into an elliptic differential equation. We introduce a novel discretization using an upwind flux without any additional stabilization. This leads to a triangular matrix structure, which can be solved using a marching algorithm and high‐order accuracy, even in the presence of singularities.
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