Assessing Standard and Kinetic Energy Conserving Discontinuous Galerkin Formulations for Marginally Resolved Navier-Stokes Flows

التفاصيل البيبلوغرافية
العنوان: Assessing Standard and Kinetic Energy Conserving Discontinuous Galerkin Formulations for Marginally Resolved Navier-Stokes Flows
المؤلفون: Klose, B. F., Jacobs, G. B., Kopriva, D. A
سنة النشر: 2019
المجموعة: Physics (Other)
مصطلحات موضوعية: Physics - Computational Physics
الوصف: The robustness and accuracy of marginally resolved discontinuous Galerkin spectral element computations are evaluated for the standard formulation and a kinetic energy conserving split form on complex flow problems of physical and engineering interest, including the flow over a square cylinder, an airfoil and a plane jet. It is shown that the kinetic energy conserving formulation is significantly more robust than the standard scheme for under-resolved simulations. A disadvantage of the split form is the restriction to Gauss-Lobatto nodes with the inherent underintegration and lower accuracy as compared to Gauss quadrature used with the standard scheme. While the results support the higher accuracy of the standard Gauss form, lower numerical robustness and spurious oscillations are evident in some cases, giving the advantage to the kinetic energy conserving scheme for marginally resolved numerical simulations.
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/1910.13985
رقم الأكسشن: edsarx.1910.13985
قاعدة البيانات: arXiv