2018
DOI: 10.48550/arxiv.1809.00866
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p-Multigrid matrix-free discontinuous Galerkin solution strategies for the under-resolved simulation of incompressible turbulent flows

Abstract: In recent years several research efforts focused on the development of high-order discontinuous Galerkin (dG) methods for scale resolving simulations of turbulent flows. Nevertheless, in the context of incompressible flow computations, the computational expense of solving large scale equation systems characterized by indefinite Jacobian matrices has often prevented from dealing with industrially-relevant computations. In this work we seek to improve the efficiency of Rosenbrock-type linearly-implicit Runge-Kut… Show more

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Cited by 3 publications
(15 citation statements)
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“…Compared to subspace non-inheritance, which requires the re-evaluation of the Jacobians in proper coarser-space discretizations of the problem, inheritance is cheaper in processing and memory. Although previous work has shown lower convergence rates when using such cheaper operators [32,11,12], especially in the context of elliptic problems and incompressible flows, we found these operators sufficiently efficient for our target problems involving the compressible NS equations, as will be demonstrated in the results section.…”
Section: Multigrid Preconditioningmentioning
confidence: 66%
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“…Compared to subspace non-inheritance, which requires the re-evaluation of the Jacobians in proper coarser-space discretizations of the problem, inheritance is cheaper in processing and memory. Although previous work has shown lower convergence rates when using such cheaper operators [32,11,12], especially in the context of elliptic problems and incompressible flows, we found these operators sufficiently efficient for our target problems involving the compressible NS equations, as will be demonstrated in the results section.…”
Section: Multigrid Preconditioningmentioning
confidence: 66%
“…A variant of the mixed hybridizable discontinuous Galerkin method presented in Section 3.2.1 is the primal HDG (pHDG) method and follows the work in [22,23]. In pHDG, the dual variable is eliminated by introducing the definition of the gradient in (12).…”
Section: Primal Formmentioning
confidence: 99%
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