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Comparison of 3D Flow Fields Arising in Mixed and Standard Unstructured Finite Elements
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Comparison of 3D Flow Fields Arising in Mixed and Standard Unstructured Finite Elements
Annamaria Mazzia6  , Giorgio Pini6 , Mario Putti6 and Flavio Sartoretto7
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Dipartimento di Metodi e Modelli Matematici per le Scienze Applicate, Università di Padova, via Belzoni 7, 35131 Padova, Italy |
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Dipartimento di Informatica, Università di Venezia, via Torino 155, 30173 Mestre VE, Italy |
Abstract
Computing 3D velocity fields is an important task in subsurface water flow analysis. While Finite Element (FE) simulations
generally yields accurate estimates of the head, the numerical velocity may display errors and even unphysical behavior in
some parts of the domain. Theoretically, the Mixed Hybrid FE (MHFE) approach provide a more accurate approximation to the
velocities.
In this communication we analyze a number of 3D–flow test cases, and compare the results obtained using FE and MHFE on tetrahedral
meshes. Theoretical convergence estimates are numerically verified for a few simple problems. A more complex heterogeneous
test case is used to show that, even for very fine meshes, the results obtained using the two discretization approaches may
differ.
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