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| 1 | A three-dimensional gas-kinetic flux solver for simulation of viscous flows with explicit formulations of conservative variables and numerical flux显示文摘A truly three-dimensional(3D)gas-kinetic flux solver for simulation of incompressible and compressible viscous flows is presented in this work.By local reconstruction of continuous Boltzmann equation,the inviscid and viscous fluxes across the cell interface are evaluated simultaneously in the solver.Different from conventional gaskinetic scheme,in the present work,the distribution function at cell interface is computed in a straightforward way.As an extension of our previous work(Sun et al.,Journal of Computational Physics,300(2015)492–519),the non-equilibrium distribution function is calculated by the difference of equilibrium distribution functions between the cell interface and its surrounding points.As a result,the distribution function at cell interface can be simply calculated and the formulations for computing the conservative flow variables and fluxes can be given explicitly.To validate the proposed flux solver,several incompressible and compressible viscous flows are simulated.Numerical results show that the current scheme can provide accurate numerical results for three-dimensional incompressible and compressible viscous flows. | Y.Sun L.M.Yang C.Shu C.J.Teo | 2020 | Advances in Aerodynamics2020，2，1： | 2 |
| 2 | Development and Comparative Studies of Three Non-free Parameter Lattice Boltzmann Models for Simulation of Compressible Flows显示文摘This paper at first shows the details of finite volume-based lattice Boltzmann method(FV-LBM)for simulation of compressible flows with shock waves.In the FV-LBM,the normal convective flux at the interface of a cell is evaluated by using one-dimensional compressible lattice Boltzmann model,while the tangential flux is calculated using the same way as used in the conventional Euler solvers.The paper then presents a platform to construct one-dimensional compressible lattice Boltzmann model for its use in FV-LBM.The platform is formed from the conservation forms of moments.Under the platform,both the equilibrium distribution functions and lattice velocities can be determined,and therefore,non-free parameter model can be developed.The paper particularly presents three typical non-free parameter models,D1Q3,D1Q4 and D1Q5.The performances of these three models for simulation of compressible flows are investigated by a brief analysis and their application to solve some one-dimensional and two-dimensional test problems.Numerical results showed that D1Q3 model costs the least computation time and D1Q4 and D1Q5 models have the wider application range of Mach number.From the results,it seems that D1Q4 model could be the best choice for the FVLBM simulation of hypersonic flows. | L.M.Yang C.Shu J.Wu | 2012 | Advances in Applied Mathematics and Mechanics2012，4，4： | 2 |
| 3 | A Hybrid Lattice Boltzmann Flux Solver for Simulation of Viscous Compressible Flows显示文摘In this paper,a hybrid lattice Boltzmann flux solver(LBFS)is proposed for simulation of viscous compressible flows.In the solver,the finite volume method is applied to solve the Navier-Stokes equations.Different from conventional Navier-Stokes solvers,in this work,the inviscid flux across the cell interface is evaluated by local reconstruction of solution using one-dimensional lattice Boltzmann model,while the viscous flux is still approximated by conventional smooth function approximation.The present work overcomes the two major drawbacks of existing LBFS[28–31],which is used for simulation of inviscid flows.The first one is its ability to simulate viscous flows by including evaluation of viscous flux.The second one is its ability to effectively capture both strong shock waves and thin boundary layers through introduction of a switch function for evaluation of inviscid flux,which takes a value close to zero in the boundary layer and one around the strong shock wave.Numerical experiments demonstrate that the present solver can accurately and effectively simulate hypersonic viscous flows. | L.M.Yang C.Shu J.Wu | 2016 | Advances in Applied Mathematics and Mechanics2016，8，6： | 2 |
| 4 | 汶川M_S8.0地震后中国四川西部温泉气的地球化学特征显示文摘为了探讨汶川MS8.0地震与温泉气地球化学特征之间的关系,分别在2008年6月、10月和2009年6月对中国西南地区四川西部32处温泉气进行了调查和样品采集,并针对三批次气样中的化学成分和He,Ne,C同位素比值进行了分析。数据显示,龙门山断裂带、鲜水河断裂带和岷江断裂带的温泉气中3He/4He,δ13CCO2含量在汶川大地震发生后明显增加。根据2008年6月测得的3He/4He最大值(7.42×10-6),预估在康定地区有高达62%的地幔氦增加进入到了温泉气中。随着时间的推移,地幔流体对温泉的贡献逐渐减少,但壳源气体,如有机物衍生出的CO2和CH4以及放射生成的He,其成分有所增强。温泉气的地球化学数据表明,在汶川MS8.0地震后,四川西部地区有更多的地幔流体迁移进入地壳中。 | X.C.Zhou W.C.Wang Z.Chen L.Yi L.Liu C.Xie Y.J.Cui J.G.Du J.W.Cheng L.M.Yang 赵霞(译) 潘红芹(译) 吴珍云(校) | 2019 | 世界地震译丛2019，50，6： | 0 |
| 5 | A Boundary Condition-Implemented Immersed Boundary-Lattice Boltzmann Method and Its Application for Simulation of Flows Around a Circular Cylinder显示文摘A boundary condition-implemented immersed boundary-lattice Boltzmann method(IB-LBM)is presented in this work.The present approach is an improvement to the conventional IB-LBM.In the conventional IB-LBM,the no-slip boundary condition is only approximately satisfied.As a result,there is flow penetration to the solid boundary.Another drawback of conventional IB-LBM is the use of Dirac delta function interpolation,which only has the first order of accuracy.In this work,the no-slip boundary condition is directly implemented,and used to correct the velocity at two adjacent mesh points from both sides of the boundary point.The velocity correction is made through the second-order polynomial interpolation rather than the first-order delta function interpolation.Obviously,the two drawbacks of conventional IB-LBM are removed in the present study.Another important contribution of this paper is to present a simple way to compute the hydrodynamic forces on the boundary from Newton’s second law.To validate the proposed method,the two-dimensional vortex decaying problem and incompressible flow over a circular cylinder are simulated.As shown in the present results,the flow penetration problem is eliminated,and the obtained results compare very well with available data in the literature. | X.Wang C.Shu J.Wu L.M.Yang | 2014 | Advances in Applied Mathematics and Mechanics2014，6，6： | 0 |
| 6 | A Simplified Lattice Boltzmann Method without Evolution of Distribution Function显示文摘In this paper,a simplified lattice Boltzmann method(SLBM)without evolution of the distribution function is developed for simulating incompressible viscous flows.This method is developed from the application of fractional step technique to the macroscopic Navier-Stokes(N-S)equations recovered from lattice Boltzmann equation by using Chapman-Enskog expansion analysis.In SLBM,the equilibrium distribution function is calculated from the macroscopic variables,while the non-equilibrium distribution function is simply evaluated from the difference of two equilibrium distribution functions.Therefore,SLBM tracks the evolution of the macroscopic variables rather than the distribution function.As a result,lower virtual memories are required and physical boundary conditions could be directly implemented.Through numerical test at high Reynolds number,the method shows very nice performance in numerical stability.An accuracy test for the 2D Taylor-Green flow shows that SLBM has the second-order of accuracy in space.More benchmark tests,including the Couette flow,the Poiseuille flow as well as the 2D lid-driven cavity flow,are conducted to further validate the present method;and the simulation results are in good agreement with available data in literatures. | Z.Chen C.Shu Y.Wang L.M.Yang D.Tan | 2017 | Advances in Applied Mathematics and Mechanics2017，9，1： | 0 |
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