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Application of the FIDAP code to the 8:1 thermal cavity problem
Author(s) -
Gresho P. M.,
Sutton S. B.
Publication year - 2002
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.394
Subject(s) - upwind scheme , finite element method , mathematics , integrator , polygon mesh , euler's formula , backward euler method , discontinuous galerkin method , euler equations , geometry , mathematical analysis , physics , discretization , thermodynamics , quantum mechanics , voltage
We present results using FIDAP on 3 meshes with 3 different elements (Q 1 Q 0 , Q 2 P ‐1 , Q 2 Q ‐1 ) employed on each. Whereas the bulk of the results were obtained via the ‘classical’ Galerkin finite element method (GFEM) and the trapezoidal (TR) time integrator, we also tested several alternative options: flux‐conservative formulation, energy‐conservative formulation, streamline upwinding, mass lumping, backward Euler time stepping, and one additional element (Q 2 Q 1 ). The most accurate of these options was the Q 2 Q ‐1 element in the advective formulation, no upwinding, trapezoidal time integration, and consistent mass; i.e. straight GFEM. Copyright © 2002 John Wiley & Sons, Ltd.