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The significant contribution of stochastic forcing to nonlinear energy transfer in resolvent analysis
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作者 Youhua Wang Ting Wu guowei he 《Theoretical & Applied Mechanics Letters》 2025年第1期1-4,共4页
Nonlinear energy transfer is represented through eddy viscosity and stochastic forcing within the framework of resolvent analysis.Previous investigations estimate the contribution of eddy-viscosity-enhanced resolvent ... Nonlinear energy transfer is represented through eddy viscosity and stochastic forcing within the framework of resolvent analysis.Previous investigations estimate the contribution of eddy-viscosity-enhanced resolvent opera-tor to nonlinear energy transfer.The present article estimates the contribution of stochastic forcing to nonlinear energy transfer and demonstrates that the contribution of stochastic forcing cannot be ignored.These results are achieved by numerically comparing the eddy-viscosity-enhanced resolvent operator and stochastic forcing with nonlinear energy transfer in turbulent channel flows.Furthermore,the numerical results indicate that composite resolvent operators can improve the prediction of nonlinear energy transfer. 展开更多
关键词 Resolvent analysis Energy transfer Eddy viscosity Stochastic forcing Composite sweeping-enhanced resolvent`
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Optimal Dispatch of Urban Distribution Networks Considering Virtual Power Plant Coordination under Extreme Scenarios
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作者 Yong Li Yuxuan Chen +4 位作者 Jiahui he guowei he Chenxi Dai Jingjing Tong Wenting Lei 《Energy Engineering》 2026年第1期204-220,共17页
Ensuring reliable power supply in urban distribution networks is a complex and critical task.To address the increased demand during extreme scenarios,this paper proposes an optimal dispatch strategy that considers the... Ensuring reliable power supply in urban distribution networks is a complex and critical task.To address the increased demand during extreme scenarios,this paper proposes an optimal dispatch strategy that considers the coordination with virtual power plants(VPPs).The proposed strategy improves systemflexibility and responsiveness by optimizing the power adjustment of flexible resources.In the proposed strategy,theGaussian Process Regression(GPR)is firstly employed to determine the adjustable range of aggregated power within the VPP,facilitating an assessment of its potential contribution to power supply support.Then,an optimal dispatch model based on a leader-follower game is developed to maximize the benefits of the VPP and flexible resources while guaranteeing the power balance at the same time.To solve the proposed optimal dispatch model efficiently,the constraints of the problem are reformulated and resolved using the Karush-Kuhn-Tucker(KKT)optimality conditions and linear programming duality theorem.The effectiveness of the strategy is illustrated through a detailed case study. 展开更多
关键词 Urban distribution network virtual power plant power supply support leader-follower optimization game extreme weather scenarios
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Wall-modeling for large-eddy simulation of flows around an axisymmetric body using the diffuse-interface immersed boundary method 被引量:10
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作者 Beiji SHI Xiaolei YANG +2 位作者 Guodong JIN guowei he Shizhao WANG 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI CSCD 2019年第3期305-320,共16页
A novel method is proposed to combine the wall-modeled large-eddy simulation(LES) with the diffuse-interface direct-forcing immersed boundary(IB) method.The new developments in this method include:(i) the momentum equ... A novel method is proposed to combine the wall-modeled large-eddy simulation(LES) with the diffuse-interface direct-forcing immersed boundary(IB) method.The new developments in this method include:(i) the momentum equation is integrated along the wall-normal direction to link the tangential component of the effective body force for the IB method to the wall shear stress predicted by the wall model;(ii) a set of Lagrangian points near the wall are introduced to compute the normal component of the effective body force for the IB method by reconstructing the normal component of the velocity. This novel method will be a classical direct-forcing IB method if the grid is fine enough to resolve the flow near the wall. The method is used to simulate the flows around the DARPA SUBOFF model. The results obtained are well comparable to the measured experimental data and wall-resolved LES results. 展开更多
关键词 WALL model large-eddy simulation(LES) immersed boundary(IB)method diffuse-interface
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Error of large-eddy simulation in the wall pressure fluctuation of a turbulent channel flow 被引量:1
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作者 Rong Li Bowen Yang +2 位作者 Zixuan Yang Shizao Wang guowei he 《Theoretical & Applied Mechanics Letters》 CSCD 2021年第4期187-191,共5页
We analyze the error of large-eddy simulation(LES)in wall pressure fluctuation of a turbulent channel flow.To separate different sources of the error,we conduct both direct numerical simulations(DNS)and LES,and apply ... We analyze the error of large-eddy simulation(LES)in wall pressure fluctuation of a turbulent channel flow.To separate different sources of the error,we conduct both direct numerical simulations(DNS)and LES,and apply an explicit filter on DNS data to obtain filtered DNS(FDNS)data.The error of LES is consequently decomposed into two parts:The first part is the error of FDNS with respect to DNS,which quantifies the influence of the filter operation.The second part is the difference between LES and FDNS induced by the error of LES in velocity field.By comparing the root-mean-square value and the wavenumber-frequency spectrum of the wall pressure fluctuation,it is found that the inaccuracy of the velocity fluctuations is the dominant source that induces the error of LES in the wall pressure fluctuation.The present study provides a basis on future LES studies of the wall pressure fluctuation. 展开更多
关键词 Wall pressure Large-eddy simulation Turbulent channel flow
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Large-eddy simulation for the aero-vibro-acoustic analysis:plate-cavity system excited by turbulent channel flow
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作者 Lixing Zhu Ting Wu guowei he 《Acta Mechanica Sinica》 SCIE EI CAS CSCD 2022年第10期38-55,共18页
The large-eddy simulation(LES)with the dynamic Smagorinsky model is used to predict the interior sound of an idealized vehicle cabin under the excitation of the wall pressures from turbulent channel flows.In compariso... The large-eddy simulation(LES)with the dynamic Smagorinsky model is used to predict the interior sound of an idealized vehicle cabin under the excitation of the wall pressures from turbulent channel flows.In comparison with direct numerical simulation(DNS),the LES results overpredict the sound pressure level(SPL)at low frequencies and underpredict the SPL at high frequencies.The incorrect predictions result from the incorrect prediction of LES on surface pressures,where the LES over-estimates the wavenumber and frequencies spectra of surface pressures at small wavenumbers and frequencies and under-estimates the spectra at large wavenumbers and frequencies.However,the LES results are close to the filtered-DNS results,implying that the unresolved scales are also important to surface pressures and interior sound.The Euler-Bernoulli beam under the excitation of exterior pressures,which serves as a simple model for aero-vibro-acoustics in the case of hydrodynamical fast,is used to explain the observed predictions and show that the Corcos model cannot represent the variation of turbulence pressure spectra at wavenumbers and frequencies.Therefore,the new requirement for the LES method,when applied to fluid-structural-acoustic interaction problems at high Reynolds numbers,is the correct prediction of wavenumber and frequency spectra of turbulence wall pressure. 展开更多
关键词 Large-eddy simulation Turbulent flow Aero-vibro-acoustics Surface pressure
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Surgical therapy:does it change proteomic profile in congenital heart diseases?
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作者 guowei he Haitao Hou +3 位作者 Chao Xuan Jun Wang Xiaocheng Liu Qin Yang 《中国循环杂志》 CSCD 北大核心 2016年第z1期-,共1页
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Effects of climate change,land use/cover change,and interactions on ecosystem services in Jiulianshan National Nature Reserve of Jiangxi Province,China
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作者 Jiayuan Feng Shun Li +5 位作者 Chao Huang Fangran Tang Yang Li guowei he Xueling Zhang Fusheng Chen 《Journal of Forestry Research》 2025年第5期175-189,共15页
Accurately forecasting ecosystem services is critical for enhancing our understanding and improving management practices within nature reserves,particularly in light of climate change,land use/cover changes,and their ... Accurately forecasting ecosystem services is critical for enhancing our understanding and improving management practices within nature reserves,particularly in light of climate change,land use/cover changes,and their complex interactions.However,existing studies often fail to fully consider vegetation response,constituting a gap in the comprehensive assessment of changes in ecosystem services.Therefore,a coupled model framework integrating climate change,land use change,and vegetation dynamics was developed to allow for the simulation of dynamic ecosystem service scenarios throughout the twenty-first century.The Jiulianshan National Nature Reserve in Jiangxi Province was considered as the study area.The results showed that ecosystem services and their synergistic effects will be optimized under scenarios that emphasize strict protection of ecological lands and incorporating the SSP1-2.6 scenario.However,sustaining optimized ecosystem services poses significant challenges in scenarios characterized by resource-intensive development and ongoing climate warming,as in the SSP5-8.5 scenario.Notably,discernible variations exist in balancing and synergizing the management of ecosystem services across diverse land uses and forest types.Our study underscores the importance of integrating vegetation response into the framework of ecosystem service forecasting,which is essential for assisting nature reserves in effectively addressing the multifaceted risks associated with climate change and rapid socio-economic development. 展开更多
关键词 Ecosystem services Trade-offs and synergies Model-coupling Scenario analysis Nature reserves Subtropical forests
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Evaluations of large language models in computational fluid dynamics:Leveraging,learning and creating knowledge
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作者 Long Wang Lei Zhang guowei he 《Theoretical & Applied Mechanics Letters》 2025年第3期207-218,共12页
This paper investigates the capabilities of large language models(LLMs)to leverage,learn and create knowledge in solving computational fluid dynamics(CFD)problems through three categories of baseline problems.These ca... This paper investigates the capabilities of large language models(LLMs)to leverage,learn and create knowledge in solving computational fluid dynamics(CFD)problems through three categories of baseline problems.These categories include(1)conventional CFD problems that can be solved using existing numerical methods in LLMs,such as lid-driven cavity flow and the Sod shock tube problem;(2)problems that require new numerical methods beyond those available in LLMs,such as the recently developed Chien-physics-informed neural networks for singularly perturbed convection-diffusion equations;and(3)problems that cannot be solved using existing numerical methods in LLMs,such as the ill-conditioned Hilbert linear algebraic systems.The evaluations indicate that reasoning LLMs overall outperform non-reasoning models in four test cases.Reasoning LLMs show excellent performance for CFD problems according to the tailored prompts,but their current capability in autonomous knowledge exploration and creation needs to be enhanced. 展开更多
关键词 Large language models Computational fluid dynamics Machine learning
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Kolmogorov-Arnold networks modeling of wall pressure wavenumber-frequency spectra under turbulent boundary layers
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作者 Zhiteng Zhou Yi Liu +1 位作者 Shizhao Wang guowei he 《Theoretical & Applied Mechanics Letters》 2025年第2期115-121,共7页
The empirical models for wavenumber-frequency spectra of wall pressure are broadly used in the fast prediction of aerodynamic and hydrodynamic noise.However,it needs to fit the parameter using massive data and is only... The empirical models for wavenumber-frequency spectra of wall pressure are broadly used in the fast prediction of aerodynamic and hydrodynamic noise.However,it needs to fit the parameter using massive data and is only used for limited cases.In this letter,we propose Kolmogorov-Arnold networks(KAN)base models for wavenumber-frequency spectra of pressure fluctuations under turbulent boundary layers.The results are compared with DNS results.In turbulent channel flows,it is found that the KAN base model leads to a smooth wavenumber-frequency spectrum with sparse samples.In the turbulent flow over an axisymmetric body of revolution,the KAN base model captures the wavenumber-frequency spectra near the convective peak. 展开更多
关键词 Wavenumber-frequency spectra Kolmogorov-Arnold networks modeling Turbulent boundary layers
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Self-propulsion of flapping bodies in viscous fluids: Recent advances and perspectives 被引量:6
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作者 Shizhao Wang guowei he Xing Zhang 《Acta Mechanica Sinica》 SCIE EI CAS CSCD 2016年第6期980-990,共11页
Flapping-powered propulsion is used by many animals to locomote through air or water. Here we review recent experimental and numerical studies on self-propelled mechanical systems powered by a flapping motion. These s... Flapping-powered propulsion is used by many animals to locomote through air or water. Here we review recent experimental and numerical studies on self-propelled mechanical systems powered by a flapping motion. These studies improve our understanding of the mutual interaction between actively flapping bodies and surrounding fluids. The results obtained in these works provide not only new insights into biolocomotion but also useful information for the biomimetic design of artificial flyers and swimmers. 展开更多
关键词 Flapping motion SELF-PROPULSION Symmetry breaking Passive flexibility Flow-mediated interaction
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A large eddy simulation of flows around an underwater vehicle model using an immersed boundary method 被引量:8
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作者 Shizhao Wang Beiji Shi +1 位作者 Yuhang Li guowei he 《Theoretical & Applied Mechanics Letters》 CAS CSCD 2016年第6期302-305,共4页
A large eddy simulation (LES) of the flows around an underwater vehicle model at intermediate Reynolds numbers is performed. The underwater vehicle model is taken as the DARPA SUBOFF with full appendages, where the ... A large eddy simulation (LES) of the flows around an underwater vehicle model at intermediate Reynolds numbers is performed. The underwater vehicle model is taken as the DARPA SUBOFF with full appendages, where the Reynolds number based on the hull length is 1.0x 105, An immersed boundary method based on the moving-least-squares reconstruction is used to handle the complex geometric boundaries. The adaptive mesh refinement is utilized to resolve the flows near the hull, The parallel scalabilities of the flow solver are tested on meshes with the number of cells varying from 50 million to 3.2 billion, The parallel solver reaches nearly linear scalability for the flows around the underwater vehicle model, The present simulation captures the essential features of the vortex structures near the hull and in the wake, Both of the time-averaged pressure coefficients and srreamwise velocity profiles obtained from the LES are consistent with the characteristics of the flows pass an appended axisymmetric body. The code efficiency and its correct predictions on flow features allow us to perform the full-scale simulations on tens of thousands of cores with billions of grid points for higher-Reynolds-number flows around the underwater vehicles. 展开更多
关键词 Underwater vehicle SUBOFF Immersed boundary method Large eddy simulation Adaptive mesh refinement
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Large-eddy simulation of circular cylinder flow at subcritical Reynolds number:Turbulent wake and sound radiation 被引量:3
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作者 Li Guo Xing Zhang guowei he 《Acta Mechanica Sinica》 SCIE EI CAS CSCD 2016年第1期1-11,共11页
The flows past a number 3900 are simulated circular cylinder at Reynolds using large-eddy simulation (LES) and the far-field sound is calculated from the LES results. A low dissipation energy-conserving finite volum... The flows past a number 3900 are simulated circular cylinder at Reynolds using large-eddy simulation (LES) and the far-field sound is calculated from the LES results. A low dissipation energy-conserving finite volume scheme is used to discretize the incompressible Navier- Stokes equations. The dynamic global coefficient version of the Vreman's subgrid scale (SGS) model is used to com- pute the sub-grid stresses. Curie's integral of Lighthill's acoustic analogy is used to extract the sound radiated from the cylinder. The profiles of mean velocity and turbulent fluctua- tions obtained are consistent with the previous experimental and computational results. The sound radiation at far field exhibits the characteristic of a dipole and directivity. The sound spectra display the -5/3 power law. It is shown that Vreman's SGS model in company with dynamic procedure is suitable for LES of turbulence generated noise. 展开更多
关键词 Flows past circular cylinder Aerodynamicnoise Large-eddy simulation Unstructured grid Acousticanalogy
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Wall-resolved large-eddy simulation of turbulent channel flows with rough walls 被引量:6
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作者 Shilong Li Xiaolei Yang +1 位作者 Guodong Jin guowei he 《Theoretical & Applied Mechanics Letters》 CSCD 2021年第1期32-36,共5页
Turbulent flows over rough surfaces widely exist in nature and industry.Investigating its mechanism is of theoretical and practical significance.In this work we simulate the turbulent channel flow with rough walls usi... Turbulent flows over rough surfaces widely exist in nature and industry.Investigating its mechanism is of theoretical and practical significance.In this work we simulate the turbulent channel flow with rough walls using large-eddy simulation with rough elements resolved using the curvilinear immersed boundary method and compare the results obtained in this work with those in the paper by Yuan and Piomelli(J.Fluid Mech.,vol.760,pp.R1,2014),where the volume of fluid method was employed for modeling rough elements.The mean streamwise velocity profiles predicted by the two methods agree well with each other.Differences in Reynolds stresses and dispersive stresses are observed,which are attributed to the different approaches in dealing with the complex geometry of the rough surface. 展开更多
关键词 Rough wall turbulence Curvilinear immersed boundary method Wall-resolved large eddy simulation
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Subgrid-scale contributions to Lagrangian time correlations in isotropic turbulence 被引量:3
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作者 Jian Zhang guowei he Lipeng Lu 《Acta Mechanica Sinica》 SCIE EI CAS CSCD 2009年第1期45-49,共5页
The application of large-eddy simulation (LES) to particle-laden turbulence raises such a fundamental question as whether the LES with a subgrid scale (SGS) model can correctly predict Lagrangian time correlations... The application of large-eddy simulation (LES) to particle-laden turbulence raises such a fundamental question as whether the LES with a subgrid scale (SGS) model can correctly predict Lagrangian time correlations (LTCs). Most of the currently existing SGS models are constructed based on the energy budget equations. Therefore, they are able to correctly predict energy spectra, but they may not ensure the correct prediction on the LTCs. Previous researches investigated the effect of the SGS modeling on the Eulerian time correlations. This paper is devoted to study the LTCs in LES. A direct numerical simulation (DNS) and the LES with a spectral eddy viscosity model are performed for isotropic turbulence and the LTCs are calculated using the passive vector method. Both a priori and a posteriori tests are carried out. It is observed that the subgrid;scale contributions to the LTCs cannot be simply ignored and the LES overpredicts the LTCs than the DNS. It is concluded from the straining hypothesis that an accurate prediction of enstrophy spectra is most critical to the prediction of the LTCs. 展开更多
关键词 Isotropic turbulence Large eddy simulation Lagrangian time correlation Enstrophy spectra
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Towards multi-fidelity simulation of flows around an underwater vehicle with appendages and propeller 被引量:2
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作者 Zhideng Zhou Zhaobin Li +1 位作者 guowei he Xiaolei Yang 《Theoretical & Applied Mechanics Letters》 CSCD 2022年第1期35-41,共7页
Flow around a real-life underwater vehicle often happens at a high Reynolds number with flow structures at different scales from the boundary layer around a blade to that around the hull. This poses a great challenge ... Flow around a real-life underwater vehicle often happens at a high Reynolds number with flow structures at different scales from the boundary layer around a blade to that around the hull. This poses a great challenge for large-eddy simulation of an underwater vehicle aiming at resolving all relevant flow scales. In this work, we propose to model the hull with appendages using the immersed boundary method, and model the propeller using the actuator disk model without resolving the geometry of the blade. The proposed method is then applied to simulate the flow around Defense Advanced Research Projects Agency(DARPA) suboff. An overall acceptable agreement is obtained for the pressure and friction coefficients. Complex flow features are observed in the near wake of suboff. In the far wake, the core region is featured by a jet because of the actuator disk, surrounded by an annular region with velocity deficit due to the body of suboff. 展开更多
关键词 Multi-fidelity model Large-eddy simulation Immersed boundary method Actuator disk model DARPA suboff
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Chien-physics-informed neural networks for solving singularly perturbed boundary-layer problems 被引量:1
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作者 Long WANG Lei ZHANG guowei he 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI CSCD 2024年第9期1467-1480,共14页
A physics-informed neural network(PINN)is a powerful tool for solving differential equations in solid and fluid mechanics.However,it suffers from singularly perturbed boundary-layer problems in which there exist sharp... A physics-informed neural network(PINN)is a powerful tool for solving differential equations in solid and fluid mechanics.However,it suffers from singularly perturbed boundary-layer problems in which there exist sharp changes caused by a small perturbation parameter multiplying the highest-order derivatives.In this paper,we introduce Chien's composite expansion method into PINNs,and propose a novel architecture for the PINNs,namely,the Chien-PINN(C-PINN)method.This novel PINN method is validated by singularly perturbed differential equations,and successfully solves the wellknown thin plate bending problems.In particular,no cumbersome matching conditions are needed for the C-PINN method,compared with the previous studies based on matched asymptotic expansions. 展开更多
关键词 physics-informed neural network(PINN) singular perturbation boundarylayer problem composite asymptotic expansion
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Quantitative Multi-Layer Electromagnetic Induction Inversion and Full-Waveform Inversion of Crosshole Ground Penetrating Radar Data 被引量:1
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作者 Jan van der Kruk Nils Gueting +7 位作者 Anja Klotzsche guowei he Sebastian Rudolph Christian von hebel Xi Yang Lutz Weihermüller Achim Mester Harry Vereecken 《Journal of Earth Science》 SCIE CAS CSCD 2015年第6期844-850,共7页
Due to the recent system developments for the electromagnetic characterization of the subsurface, fast and easy acquisition is made feasible due to the fast measurement speed, easy coupling with GPS systems, and the a... Due to the recent system developments for the electromagnetic characterization of the subsurface, fast and easy acquisition is made feasible due to the fast measurement speed, easy coupling with GPS systems, and the availability of multi-channel electromagnetic induction(EMI) and ground penetrating radar(GPR) systems. Moreover, the increasing computer power enables the use of accurate forward modeling programs in advanced inversion algorithms where no approximations are used and the full information content of the measured data can be exploited. Here, recent developments of large-scale quantitative EMI inversion and full-waveform GPR inversion are discussed that yield higher resolution of quantitative medium properties compared to conventional approaches. In both cases a detailed forward model is used in the inversion procedure that is based on Maxwell's equations. The multi-channel EMI data that have different sensing depths for the different source-receiver offset are calibrated using a short electrical resistivity tomography(ERT) calibration line which makes it possible to invert for electrical conductivity changes with depth over large areas. The crosshole GPR full-waveform inversion yields significant higher resolution of the permittivity and conductivity images compared to ray-based inversion results. 展开更多
关键词 ground penetrating radar electromagnetic induction full-waveform inversion.
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Multi-Scale-Matching neural networks for thin plate bending problem 被引量:1
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作者 Lei Zhang guowei he 《Theoretical & Applied Mechanics Letters》 CAS CSCD 2024年第1期11-15,共5页
Physics-informed neural networks are a useful machine learning method for solving differential equations,but encounter challenges in effectively learning thin boundary layers within singular perturbation problems.To r... Physics-informed neural networks are a useful machine learning method for solving differential equations,but encounter challenges in effectively learning thin boundary layers within singular perturbation problems.To resolve this issue,multi-scale-matching neural networks are proposed to solve the singular perturbation problems.Inspired by matched asymptotic expansions,the solution is decomposed into inner solutions for small scales and outer solutions for large scales,corresponding to boundary layers and outer regions,respectively.Moreover,to conform neural networks,we introduce exponential stretched variables in the boundary layers to avoid semiinfinite region problems.Numerical results for the thin plate problem validate the proposed method. 展开更多
关键词 Singular perturbation Physics-informed neural networks Boundary layer Machine learning
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Numerical simulation of unsteady flows over a slow-flying bat 被引量:1
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作者 Shizhao Wang Xing Zhang +1 位作者 guowei he Tianshu Liu 《Theoretical & Applied Mechanics Letters》 CAS CSCD 2015年第1期5-8,共4页
This letter describes numerical simulation of the unsteady flow over a slow-flying bat by using the immersed boundary method based on the measured bat wing geometry and kinematics. The main vortical structures around ... This letter describes numerical simulation of the unsteady flow over a slow-flying bat by using the immersed boundary method based on the measured bat wing geometry and kinematics. The main vortical structures around the bat flapping wings are identified, illuminating the lift-generating role of the leading- edge vortices generated mainly in the downstroke. Furthermore, the lift decomposition indicates that the vortex lift has the dominant contribution to the time-averaged lift and the lift associated with the fluid acceleration has the relatively moderate effect. 展开更多
关键词 Flapping flightBatLiftLeading-edge vortexVortex liftNumerical simulation
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Lattice Boltzmann simulations of high-order statistics in isotropic turbulent flows
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作者 Guodong JIN Shizhao WANG +1 位作者 Yun WANG guowei he 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI CSCD 2018年第1期21-30,共10页
The lattice Boltzmann method (LBM) is coupled with the multiple-relaxation- time (MRT) collision model and the three-dimensional 19-discrete-velocity (D3Q19) model to resolve intermittent behaviors on small scal... The lattice Boltzmann method (LBM) is coupled with the multiple-relaxation- time (MRT) collision model and the three-dimensional 19-discrete-velocity (D3Q19) model to resolve intermittent behaviors on small scales in isotropic turbulent flows. The high- order scaling exponents of the velocity structure functions, the probability distribution functions of Lagrangian accelerations, and the local energy dissipation rates are investi- gated. The self-similarity of the space-time velocity structure functions is explored using the extended self-similarity (ESS) method, which was originally developed for velocity spatial structure functions. The scaling exponents of spatial structure functions at up to ten orders are consistent with the experimental measurements and theoretical results, implying that the LBM can accurately resolve the intermittent behaviors. This valida~ tion provides a solid basis for using the LBM to study more complex processes that are sensitive to small scales in turbulent flows, such as the relative dispersion of pollutants and mesoscale structures of preferential concentration of heavy particles suspended in turbulent flows. 展开更多
关键词 mesoscopic modelling lattice Boltzmann method (LBM) isotropic turbulent flow structure function intermittency high-order statistics SELF-SIMILARITY
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