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This is the first of three lectures prepared by the authors for the von Karman Institute that deal with the subject of aerodynamic shape optimization. In this lecture we introduce some theoretic...
This paper analyzes in detail the numerical dissipation term embedded in high-order discontinuous finite element type discretizations with particular emphasis on numerical schemes that can be fo...
High-order methods for unstructured grids provide a promising option for solving chal lenging problems in computational fluid dynamics. Flux reconstruction (FR) is a framework which unifie...
The present work combines the Spectral Difference method with an artificial viscosity based approach to enable high-order computation of compressible fluid flows with discontinuities...
The Flux Reconstruction (FR) approach unifies several well-known high-order schemes for unstructured grids, including a collocation-based nodal discontinuous Galerkin (DG) method and all types o...
针对航天器姿态测量精度和带宽之间相互制约问题,提出一种基于磁悬浮陀螺的航天器姿态高精度、高带宽测量方法。根据刚体动力学和坐标变换原理建立磁悬浮转子径向转动合外力矩模型。在框架静止条件下,通过实时检测磁悬浮控制力矩陀螺(MSCMG)中的磁轴承电流、磁悬浮转子位移,计算出磁悬浮转子径向转动所受合外力矩以及磁悬浮转子径向偏转信息,间接得到航天器运动对磁悬浮转子径向转动作用力矩,进而求出航天器单轴姿态角速...
The combination of a high-order unstructured spectral difference (SD) spatial discretization scheme with sub-grid scale (SGS) modeling for large-eddy simulation is investigated with particular focus o...
The combination of the high-order unstructured flux reconstruction and spectral difference spatial discretization schemes with sub-grid scale modeling for large-eddy simulation is investigated w...
The combination of the high-order unstructured Spectral Difference (SD) spatial discretization scheme with Sub-Grid Scale (SGS) modeling for Wall-Modeled Large-Eddy Simulation (WMLES) is investigated.
The purpose of this paper is to provide new insights on the connections that exist between the discontinuous Galerkin method (DG), the flux reconstruction method (FR) and the recently identi@...
This paper presents the development of a 2D high-order solver with spectral difference method for unsteady incompressible Navier–Stokes equations accelerated by a p-multigrid method. This solver is de...
Additionally, twodimensional non-linear numerical experiments are undertaken in order to assess whether results of the 1D von Neumann analysis (which is inherently linear) extend to real world problem...
The flux reconstruction (FR) approach allows various well-known high-order schemes, such as collocation based nodal discontinuous Galerkin (DG) methods and spectral difference (SD) methods, to b...
This work discusses the development of a three-dimensional, high-order, compressible viscous ow solver for mixed unstructured grids that can run on multiple GPUs. The solver utilizes a range of so-cal...
A model problem, based on the NACA0012 airfoil, is studied. The thickness distribution of the symmetric NACA0012 airfoil is optimally approximated with a 4th-order Bezier curve. This best-fit ap...

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