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Träfflista för sökning "WFRF:(Nazarov Murtazo) srt2:(2015-2019)"

Search: WFRF:(Nazarov Murtazo) > (2015-2019)

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  • Guermond, Jean-Luc, et al. (author)
  • Second-Order Invariant Domain Preserving Approximation of the Euler Equations Using Convex Limiting
  • 2018
  • In: SIAM Journal on Scientific Computing. - : SIAM PUBLICATIONS. - 1064-8275 .- 1095-7197. ; 40:5, s. A3211-A3239
  • Journal article (peer-reviewed)abstract
    • A new second-order method for approximating the compressible Euler equations is introduced. The method preserves all the known invariant domains of the Euler system: positivity of the density, positivity of the internal energy, and the local minimum principle on the specific entropy. The technique combines a first-order, invariant domain preserving, guaranteed maximum speed method using a graph viscosity (GMS-GV1) with an invariant domain violating, but entropy consistent, high-order method. Invariant domain preserving auxiliary states, naturally produced by the GMS-GV1 method, are used to define local bounds for the high-order method, which is then made invariant domain preserving via a convex limiting process. Numerical tests confirm the second-order accuracy of the new GMS-GV2 method in the maximum norm, where the 2 stands for second-order. The proposed convex limiting is generic and can be applied to other approximation techniques and other hyperbolic systems.
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  • Lu, Li, et al. (author)
  • Nonlinear artificial viscosity for spectral element methods
  • 2019
  • In: Comptes rendus. Mathematique. - : Elsevier BV. - 1631-073X .- 1778-3569. ; 357:7, s. 646-654
  • Journal article (peer-reviewed)abstract
    • We present a filter-based approach to computing artificial viscosities for spectral element methods. A number of applications for this approach are presented.
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  • Result 1-6 of 6

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