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Development and assessment of algorithms for DEM-LES simulations of fluidized bed

Particuology 2023年第12期83卷 241-257页

作者： Fatima Ez-Zahra El Hamra Radouan Boukharfane UM6P College of Computing Mohammed Ⅵ Polytechnic University(UM6P)BenguerirMorocco

The use of high-fidelity Discrete Element Method(DEM)coupled with Computational Fluid Dynamics(CFD)for particle-scale simulations demands extensive simulation times and restricts application to small particulate ***-CFD simulations require good performance and satisfactory scalability on high-performance computing platforms.A reliable parallel computing strategy must be developed to calculate the collision forces,since collisions can occur between particles that are not on the same processor,or even across processors whose domains are *** present paper describes a parallelization technique and a numerical verification study based on a number of tests that allow for the assessment of the numerical performance of DEM used in conjunction with Large-Eddy Simulation(LES)to model dense flows in fluidized *** fluid phase is computed through solving the volume-averaged four-way coupling Navier-Stokes equations,in which the Smagorinsky sub-grid scale tensor model is ***,the performance of Sub-Grid Scale(SGS)turbulence models applied to Fluidized Bed Reactor(FBR)configurations has been assessed and *** developed numerical solver represents an interesting combination of techniques that work well for the present purpose of studying particle formation in fluidized beds.

关键词： DEM-LES Fluidized bed Computational efficiency numerical accuracy

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PERTURBATION FINITE VOLUME METHOD FOR CONVECTIVE-DIFFUSION INTEGRAL EQUATION

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Acta Mechanica Sinica 2004年第6期20卷 580-590页

作者：高智杨国伟 Key Laboratory of High Temperature Gas Dynamics Institute of MechanicsBeijing 100080China

A perturbation finite volume(PFV)method for the convective-diffusion integral equa- tion is developed in this *** PFV scheme is an upwind and mixed scheme using any higher-order interpolation and second-order integration approximations,with the least nodes similar to the standard three-point schemes,that is,the number of the nodes needed is equal to unity plus the face-number of the control *** instance,in the two-dimensional(2-D)case,only four nodes for the triangle grids and five nodes for the Cartesian grids are utilized,*** PFV scheme is applied on a number of 1-D linear and nonlinear problems,2-D and 3-D flow model *** with other standard three-point schemes,the PFV scheme has much smaller numerical diffusion than the first-order upwind scheme(UDS).Its numerical accuracies are also higher than the second-order central scheme(CDS),the power-law scheme(PLS)and QUICK scheme.

关键词： perturbation finite volume convective-diffusion integral equation numerical accuracy

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Improvement of the Semi-Lagrangian Advection Scheme in the GRAPES Model:Theoretical Analysis and Idealized Tests

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Advances in Atmospheric Sciences 2014年第3期31卷 693-704页

作者： HUANG Bo CHEN Dehui LI Xingliang LI Chao Chinese Academy of Meteorological Sciences numerical Weather Prediction Center China Meteorological Administration University of Chinese Academy of Sciences

ABSTRACT The Global/Regional Assimilation and PrEdiction System （GRAPES） is the newgeneration numerical weather predic- tion （NWP） system developed by the China Meteorological Administration. It is a fully compressible non-hydrostatical global/regional unified model that uses a traditional semi-Lagrangian advection scheme with cubic Lagrangian interpola tion （referred to as the SL_CL scheme）. The SL_CL scheme has been used in many operational NWP models, but there are still some deficiencies, such as the damping effects due to the interpolation and the relatively low accuracy. Based on Reich＇s semi-Lagrangian advection scheme （referred to as the R2007 scheme）, the Re_R2007 scheme that uses the low- and high-order B-spline function for interpolation at the departure point, is developed in this paper. One- and two-dimensional idealized tests in the rectangular coordinate system with uniform grid cells were conducted to compare the Re..R2007 scheme and the SL_CL scheme. The numerical results showed that：（1） the damping effects were remarkably reduced with the Re_R2007 scheme; and （2） the normalized errors of the Re_R2007 scheme were about 7.5 and 3 times smaller than those of the SL_CL scheme in one- and two-dimensional tests, respectively, indicating the higher accuracy of the Re..R2007 scheme. Furthermore, two solid-body rotation tests were conducted in the latitude-longitude spherical coordinate system with non uniform grid cells, which also verified the Re_R2007 scheme＇s advantages. Finally, in comparison with other global advection schemes, the Re_R2007 scheme was competitive in terms of accuracy and flow independence. An encouraging possibility for the application of the Re_R2007 scheme to the GRAPES model is provided.

关键词： numerical models semi-Lagrangian method advection scheme numerical accuracy spline interpolation

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Study of total variation diminishing (TVD) slope limiters in dam-break flow simulation

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Water Science and Engineering 2018年第1期11卷 68-74页

作者： Feng-peng Bai Zhong-hua Yang Wu-gang Zhou State Key Laboratory of Water Resources and Hydropower Engineering Science Wuhan University

A two-dimensional （2D） dam-break flow numerical model was developed based on the finite-volume total variation diminishing （TVD） and monotone upstream-centered scheme for conservation laws （MUSCL）-Hancock scheme, which has second-order accuracy in both time and space. A Harten-Lax-van Leer-contact （HLLC） approximate Riemann solver was used to evaluate fluxes. The TVD MUSCL-Hancock numerical scheme utilizes slope limiters, such as the minmod, double minmod, superbee, van Albada, and van Leer limiters, to prevent spurious oscillations and maintain monotonicity near discontinuities. A comparative study of the impact of various slope limiters on the accuracy of the numerical flow model was conducted with several dam-break examples including wet and dry bed cases. The numerical results of the superbee and double minmod limiters agree better with the theoretical solution and have higher accuracy than other limiters in one-dimensional （1D） space. The ratio of the downstream water depth to the upstream water depth was used to select the proper slope limiter. For the 2D numerical model, the superbee limiter should not be used, owing to significant numerical dispersion.

关键词： Dam-break flow TVD MUSCL-Hancock scheme Slope limiter numerical accuracy Spurious oscillation

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Symmetric and symplectic methods for gyrocenter dynamics in time-independent magnetic fields

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International Journal of Modeling, Simulation, and Scientific Computing 2016年第2期7卷 139-151页

作者： Beibei Zhu Zhenxuan Hu Yifa Tang Ruili Zhang LSEC ICMSEC Academy of Mathematics and Systems Science Chinese Academy of Sciences Beijing 100190P.R.China School of Software Fudan University Shanghai 201203P.R.China Department of Modern Physics and School of Nuclear Science and Technology University of Science and Technology of China Hefei 230026 P.R.China

We apply a second-order symmetric Runge–Kutta method and a second-order symplectic Runge–Kutta method directly to the gyrocenter dynamics which can be expressed as a noncanonical Hamiltonian *** numerical simulation results show the overwhelming superiorities of the two methods over a higher order nonsymmetric nonsymplectic Runge–Kutta method in long-term numerical accuracy and near energy ***,they are much faster than the midpoint rule applied to the canonicalized system to reach given precision.

关键词： Symmetric Runge-Kutta method symplectic Runge-Kutta method numerical accuracy near energy conservation

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