Article
Computer Science, Interdisciplinary Applications
Brian C. Vermeire
Summary: This study presents a framework for implicit large eddy simulation (ILES) of incompressible flows by combining the entropically damped artificial compressibility (EDAC) method with the flux reconstruction (FR) approach. Experimental results demonstrate that the method is accurate and stable for low-order solutions, while higher-order solutions exhibit significantly higher accuracy and lower divergence error compared to reference direct numerical simulation.
COMPUTERS & FLUIDS
(2024)
Article
Computer Science, Interdisciplinary Applications
Wenjin Zhao, Guiyu Cao, Jianchun Wang, Kun Xu
Summary: This study validates the effectiveness of high-order non-compact and compact reconstruction in turbulence simulation using the high-order gas-kinetic scheme (HGKS). The accuracy of HGKS is confirmed through numerical simulations of three-dimensional density perturbation advection. Both non-compact 7th-order and compact 5th-order reconstruction schemes are shown to provide accurate solutions for turbulent flows.
COMPUTERS & FLUIDS
(2023)
Article
Computer Science, Interdisciplinary Applications
Mohsen Hamedi, Brian C. Vermeire
Summary: This paper investigates the stability issues of simulating unsteady turbulent flows near complex geometries using filtering and its parametrization. A new exponential filtering operator is proposed and optimal filtering parameters are obtained through numerous numerical tests. Results show that the filtered solutions can stabilize the simulations while maintaining high-order accuracy.
COMPUTERS & FLUIDS
(2022)
Article
Computer Science, Interdisciplinary Applications
Philip L. Lederer, Xaver Mooslechner, Joachim Schoeberl
Summary: This study assesses the ability of three different approaches based on high-order discontinuous Galerkin methods to simulate under-resolved turbulent flows. A comparison between different methods is conducted using numerical results. In addition, a novel approach for turbulent modeling in wall-bounded flows is proposed.
JOURNAL OF COMPUTATIONAL PHYSICS
(2023)
Article
Computer Science, Interdisciplinary Applications
Bin Zhang, Chi Ding, Chunlei Liang
Summary: The study conducted the first high-order eddy-resolving simulation of flow over a marine propeller using a newly developed high-order sliding-mesh method, which accurately predicted loads and demonstrated low-dissipation advantages. Detailed load analysis identified major loads and their distributions, time, and frequency scales, while evaluating the effects of different fairwaters on overall performance.
COMPUTERS & FLUIDS
(2021)
Article
Construction & Building Technology
Andrea Crivellini, Alessandra Nigro, Alessandro Colombo, Antonio Ghidoni, Gianmaria Noventa, Andrea Cimarelli, Roberto Corsini
Summary: This paper presents the numerical results of the flow around a 5:1 rectangular cylinder under different conditions. The simulations demonstrate the accuracy of the results by comparing with experimental data and other simulation results. Additionally, various factors affecting the accuracy of the results are investigated.
WIND AND STRUCTURES
(2022)
Article
Engineering, Aerospace
Libin Ma, Chao Yan, Jian Yu
Summary: The demand for high-fidelity simulations of compressible turbulence on complex geometries has led to the development of various high-order methods. However, these methods may encounter issues such as spurious oscillations or blow up for strongly compressible flows. In this study, a modified approach called MDAEX was proposed to extend the MDA model to lower orders and introduced additional control on the value of artificial viscosity. The results indicate that the MDAEX model performs better than the MDA model for P2 and P3, providing improved accuracy and capturing flow structures for shock-dominated flows.
Article
Mathematics, Applied
Di Sun, Feng Qu, Junqiang Bai
Summary: In this study, an Implicit Large Eddy Simulation (ILES) method based on all-speed schemes in a framework of the finite volume method is analyzed for the simulation of complex flow structures in both high and low Mach numbers regimes. The method shows good accuracy in capturing compressible phenomena and small turbulent structures. The application of the method to cylinder flow and transonic cavity flow yields results in agreement with previous studies, indicating its promising potential for complex engineering flow problems.
COMPUTERS & MATHEMATICS WITH APPLICATIONS
(2022)
Article
Computer Science, Interdisciplinary Applications
C. Cox, W. Trojak, T. Dzanic, F. D. Witherden, A. Jameson
Summary: The study presents a discontinuous spectral element flow solver that incorporates spectral difference and flux reconstruction formulations, evaluating the accuracy, stability, and performance of these two schemes. A novel nonlinear stability analysis is provided for the spectral difference scheme, demonstrating the additional stability and improved suppression of aliasing errors. The research shows the benefits of the true spectral difference scheme for under-resolved simulations of turbulent flows.
COMPUTERS & FLUIDS
(2021)
Article
Thermodynamics
Chao Ma, Jie Wu, Liming Yang, Hao Dong
Summary: In this paper, a high-order implicit-explicit flux reconstruction thermal lattice Boltzmann method is proposed for simulating nearly incompressible thermal flows. The method shows high-order accuracy, stability and adaptability for complex geometries based on numerical validations and simulations.
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER
(2022)
Article
Geosciences, Multidisciplinary
Shaofeng Liu, Xubin Zeng, Yongjiu Dai, Hua Yuan, Nan Wei, Zhongwang Wei, Xingjie Lu, Shupeng Zhang
Summary: We propose a surface flux estimation formula that takes into account large eddy effects, and validate it through independent large eddy simulations. The results show a linear relationship between the boundary layer depth and the vertical extents of the affecting large eddies, with comparable values. This suggests that our estimation formula is likely applicable to unstable boundary layers.
GEOPHYSICAL RESEARCH LETTERS
(2022)
Article
Computer Science, Interdisciplinary Applications
Jiaqing Kou, Saumitra Joshi, Aurelio Hurtado-de-Mendoza, Kunal Puri, Charles Hirsch, Esteban Ferrer
Summary: In this work, the numerical advantages of the high-order Flux Reconstruction (FR) method and the simplicity of the mesh generation of the Immersed Boundary Method (IBM) are combined for steady and unsteady problems over moving geometries using the volume penalization (penalty-IBM) method. The efficiency of the approach in handling moving geometries is demonstrated through various numerical test cases, showcasing the potential of this method in industrial design processes.
JOURNAL OF COMPUTATIONAL PHYSICS
(2022)
Article
Computer Science, Interdisciplinary Applications
Jeremy Ims, Z. J. Wang
Summary: We employ a discontinuous high-order method to assess three error indicators aimed at mesh adaptation in large eddy simulation (LES). These indicators are formulated based on specific physical and numerical reasoning. The first indicator is governed by the unsteady residual, the second indicator relies on a local smoothness indicator, and the third one is built upon an estimation for small scale turbulent kinetic energy. We examine the three error indicators by driving autonomous mesh refinement in implicit LES and evaluate their efficacy in reducing solution error by comparing them against direct numerical simulation (DNS) results in two commonly used benchmark simulations of T106 LP turbine cascade.
JOURNAL OF COMPUTATIONAL PHYSICS
(2023)
Article
Computer Science, Interdisciplinary Applications
Victor C. B. Sousa, Carlo Scalo
Summary: A novel approach to shock capturing for high-order flux reconstruction schemes is proposed based on the mathematical formalism of the filtered governing equations. The method utilizes the Legendre spectral viscosity subfilter scale closure model to simulate shocks and achieves high-resolution power and robustness.
JOURNAL OF COMPUTATIONAL PHYSICS
(2022)
Article
Computer Science, Interdisciplinary Applications
Aurelio Hurtado-de-Mendoza, Jiaqing Kou, Saumitra Joshi, Kunal Puri, Charles Hirsch, Esteban Ferrer
Summary: We present a numerical analysis of linear multigrid operators for the high-order Flux Reconstruction method. The non-modal analysis is used to assess the short-term numerical dissipation in the context of 1D and 2D linear convection-diffusion. The effect of several parameters, including the number of coarse-level iterations, the polynomial order, and the combination of h- and p-multigrid, is explored to find the most efficient configurations. V-cycle p-multigrid is shown to be more efficient at higher polynomial orders, and the use of W-cycles and/or hp-multigrid appears to offer additional advantages. Additionally, the influence of high Peclet numbers and high aspect-ratio cells on error dissipation is investigated in the 2D case. Finally, the non-modal dissipation is related to the convergence rate of the multigrid through a series of manufactured solutions.
JOURNAL OF COMPUTATIONAL PHYSICS
(2022)
Article
Computer Science, Interdisciplinary Applications
Jeremy Ims, Z. J. Wang
ENGINEERING WITH COMPUTERS
(2019)
Article
Computer Science, Interdisciplinary Applications
Shu-Jie Li, Li-Shi Luo, Z. J. Wang, Lili Ju
JOURNAL OF COMPUTATIONAL PHYSICS
(2018)
Article
Computer Science, Interdisciplinary Applications
Chao Zhang, Qibing Li, Song Fu, Z. J. Wang
JOURNAL OF COMPUTATIONAL PHYSICS
(2018)
Article
Computer Science, Interdisciplinary Applications
Mohammad Alhawwary, Z. J. Wang
JOURNAL OF COMPUTATIONAL PHYSICS
(2018)
Article
Engineering, Aerospace
Feilin Jia, Jeremy Ims, Z. J. Wang, James Kopriva, Gregory M. Laskowski
Article
Mechanics
Y. Xue, L. Wang, Z. J. Wang, S. Fu
Article
Computer Science, Interdisciplinary Applications
Feilin Jia, Z. J. Wang, Rathakrishnan Bhaskaran, Umesh Paliath, Gregory M. Laskowski
COMPUTERS & FLUIDS
(2019)
Article
Engineering, Aerospace
Jingchang Shi, Hong Yan, Z. J. Wang
Article
Computer Science, Interdisciplinary Applications
Zhaowen Duan, Z. J. Wang
COMPUTERS & FLUIDS
(2020)
Article
Computer Science, Interdisciplinary Applications
Z. J. Wang, Salman Rahmani
Summary: Recent advancements in adaptive high-order numerical methods, high-order mesh generation, and scalable implicit time integration approaches have made large eddy simulation (LES) more affordable. This study demonstrates the progress by conducting implicit LES of a benchmark problem involving NASA CRM high-lift configuration, showing very good agreement with experimental data.
COMPUTERS & FLUIDS
(2021)
Article
Computer Science, Interdisciplinary Applications
Chao Zhang, Qibing Li, Z. J. Wang, Jiequan Li, Song Fu
Summary: An efficient gas-kinetic scheme with fourth-order accuracy in space and time is developed for solving the Navier-Stokes equations on triangular meshes. The scheme combines a reconstruction procedure with a gas kinetic flux formula to achieve high accuracy. The scheme is more efficient and robust compared to traditional methods and can handle a wide range of flow problems.
JOURNAL OF COMPUTATIONAL PHYSICS
(2022)
Article
Computer Science, Interdisciplinary Applications
Eduardo Jourdan, Z. J. Wang
Summary: This article addresses two acceleration techniques, p-multigrid and local Mach number preconditioning, in the context of high-order methods. The use of Mach number preconditioning significantly enhances the efficiency of the p-multigrid method, especially for unsteady simulations with larger physical time steps.
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS
(2022)
Article
Engineering, Mechanical
Z. J. Wang, E. Jourdan
Summary: The study advocates using the flow between rotating concentric cylinders as a benchmark case for scale-resolving simulation and conducts p-refinement and hp-refinement studies for Re = 4000 to establish DNS data and evaluate the accuracy and efficiency of high-order schemes.
ADVANCES IN AERODYNAMICS
(2021)
Article
Mathematics, Applied
Mohammad Alhawwary, Zhijian Wang
SIAM JOURNAL ON SCIENTIFIC COMPUTING
(2020)
Article
Engineering, Mechanical
Mohammad Alhawwary, Z. J. Wang
ADVANCES IN AERODYNAMICS
(2019)