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A Comparative Study of Characteristic Finite Element and Characteristic Finite Volume Methods for Convection-Diffusion-Reaction Problems on Triangular Grids

Abstract : The paper aims to compare the accuracy and robustness of the characteristic finite element method (CFEM) and characteristic finite volume method (CFVM) for solving convection-diffusion-reaction problems on two-dimensional triangular grids. The tests are performed on a square unit domain, to which an advective field is imposed in a domain. The results show that the CFEM gives less accurate solution than CFVM for the rotation of a slotted-cylinder and rotation of Gaussian cone problems. Moreover, CFEM gives oscillate solution while the CFVM provides an oscillation-free solution for the skew flow to the grid problem.
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https://hal.archives-ouvertes.fr/hal-03180538
Contributor : Robert Eymard <>
Submitted on : Monday, March 29, 2021 - 6:28:33 PM
Last modification on : Thursday, April 1, 2021 - 3:21:53 AM

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Sutthisak Phongthanapanich, Robert Eymard. A Comparative Study of Characteristic Finite Element and Characteristic Finite Volume Methods for Convection-Diffusion-Reaction Problems on Triangular Grids. Applied Science and Engineering Progress, Academic Enhancement Department King Mongkut’s University of Technology North Bangkok, 2019, ⟨10.14416/j.asep.2019.10.002⟩. ⟨hal-03180538⟩

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