Daiane Cristina Zanatta1,*, Luciano Kiyoshi Araki2, Marcio Augusto Villela Pinto2, Diego Fernando Moro3
CMES-Computer Modeling in Engineering & Sciences, Vol.125, No.3, pp. 1061-1081, 2020, DOI:10.32604/cmes.2020.012634
Abstract This paper seeks to develop an efficient multigrid algorithm for
solving the Burgers problem with the use of non-orthogonal structured curvilinear grids in L-shaped geometry. For this, the differential equations were
discretized by Finite Volume Method (FVM) with second-order approximation scheme and deferred correction. Moreover, the algebraic method and
the differential method were used to generate the non-orthogonal structured
curvilinear grids. Furthermore, the influence of some parameters of geometric
multigrid method, as well as lexicographical Gauss–Seidel (Lex-GS), η-line
Gauss–Seidel (η-line-GS), Modified Strongly Implicit (MSI) and modified
incomplete LU decomposition (MILU) solvers on the Central Processing
Unit (CPU) time was investigated.… More >
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