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- W2317963290 abstract "This work examines finite-element time discretizations for the Euler equations and methods for the robust and efficient solution of these discretizations. Specifically, the spectralelement (SEMT) and discontinuous-Galerkin (DGMT) methods in time are derived and examined in detail. To solve the SEMT and DGMT Euler equations, the flexible variant of the Generalized Minimal Residual method (FGMRES), utilizing the full second-order accurate spatial Jacobian and complete temporal coupling of the chosen time discretization, is implemented. The FGMRES solver developed utilizes a block-colored Gauss-Seidel (BCGS) preconditioner augmented by a defect-correction process to increase its effectiveness. This preliminary examination of the SEMT and DGMT shows that these time discretization have promise for the solution of the unsteady Euler equations, but also that the behavior of the methods around discontinuities must be improved to make them broadly applicable to unsteady flow problems. The investigation conducted in this work indicates that SEMT, rather than DGMT, is likely the better time discretization for use in solution of the Euler equations." @default.
- W2317963290 created "2016-06-24" @default.
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- W2317963290 date "2015-01-03" @default.
- W2317963290 modified "2023-09-25" @default.
- W2317963290 title "Finite-element Time Discretizations for the Unsteady Euler Equations" @default.
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- W2317963290 doi "https://doi.org/10.2514/6.2015-0569" @default.
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