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• W3099690519 startingPage "1490" @default.
• W3099690519 abstract "Abstract The moving discontinuous Galerkin finite element method with interface condition enforcement is applied to the case of viscous flows. This method uses a weak formulation that separately enforces the conservation law, constitutive law, and the corresponding interface conditions in order to provide the means to detect interfaces or underresolved flow features. To satisfy the resulting overdetermined weak formulation, the discrete domain geometry is introduced as a variable, so that the method implicitly fits a priori unknown interfaces and moves the grid to resolve sharp, but smooth, gradients, achieving a form of anisotropic curvilinear r ‐adaptivity. This approach avoids introducing low‐order errors that arise using shock capturing, artificial dissipation, or limiting. The utility of this approach is demonstrated with its application to a series of test problems culminating with the compressible Navier–Stokes solution to a Mach 5 viscous bow shock for a Reynolds number of 10 5 in two‐dimensional space. Time accurate solutions of unsteady problems are obtained via a space‐time formulation, in which the unsteady problem is formulated as a higher dimensional steady space‐time problem. The method is shown to accurately resolve and transport viscous structures without relying on numerical dissipation for stabilization." @default.
• W3099690519 created "2020-11-23" @default.
• W3099690519 creator A5051899739 @default.
• W3099690519 creator A5074511334 @default.
• W3099690519 creator A5080181139 @default.
• W3099690519 date "2021-01-20" @default.
• W3099690519 modified "2023-10-12" @default.
• W3099690519 title "The moving discontinuous Galerkin finite element method with interface condition enforcement for compressible viscous flows" @default.
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• W3099690519 doi "https://doi.org/10.1002/fld.4939" @default.
• W3099690519 hasPublicationYear "2021" @default.
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