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Implicit Quadrature-Free direct reconstruction method for Efficient Scale-Resolving Simulations

Communications in Computational Physics 2023年第4期33卷 992-1034页

作者： Hojun You Juhyun Kim Chongam Kim Department of Aerospace System Engineering Sejong UniversitySeoul 05006Republic of Korea Department of Aerospace Engineering Seoul National UniversitySeoul 08826Republic of Korea Institute ofAdvanced Aerospace Technology SeoulNationalUniversitySeoul 08826Republic of Korea

The present study develops implicit physical domain-based discontinuous Galerkin(DG)methods for efficient scale-resolving simulations on mixed-curved *** methods are essential to handle stiff systems in many scale-resolving simulations of interests in computational science and *** physical domain-based DGmethod can achieve high-order accuracy using the optimal bases set and preserve the required accuracy on *** using the quadraturebased DG method,these advantages are overshadowed by severe computational costs on mixed-curved meshes,making implicit scale-resolving simulations *** address this issue,the quadrature-free direct reconstruction method(DRM)is extended to the implicit DG *** this approach,the generalized reconstruction approximates non-linear flux functions directly in the physical domain,making the computing-intensive numerical integrations precomputable at a preprocessing *** DRM operator is applied to the residual computation in the matrix-free *** DRM operator can be further extended to the system matrix computation for the matrix-explicit Krylov subspace method and ***,the A-stable Rosenbrock-type Runge–Kutta methods are adopted to achieve high-order accuracy in *** verification and validation from the manufactured solution to implicit large eddy simulations are *** computed results confirm that the proposed method significantly improves computational efficiency compared to the quadrature-based method while accurately resolving detailed unsteady flow features that are hardly captured by scale-modeled simulations.

关键词： direct reconstruction method implicit Runge-Kutta method quadrature-free method discontinuous Galerkin method implicit large eddy simulation high performance computing

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