Semi-implicit algorithms are popularly used to deal with the gravitational term in numerical models. In this paper, we adopt the method of characteristics to compute the solutions for gravity waves on a sphere directl...Semi-implicit algorithms are popularly used to deal with the gravitational term in numerical models. In this paper, we adopt the method of characteristics to compute the solutions for gravity waves on a sphere directly using a semi-Lagrangian advection scheme instead of the semi-implicit method in a shallow water model, to avoid expensive matrix inversions. Adoption of the semi-Lagrangian scheme renders the numerical model always stable for any Courant number, and which saves CPU time. To illustrate the effciency of the characteristic constrained interpolation profile （CIP） method, some numerical results are shown for idealized test cases on a sphere in the Yin-Yang grid system.展开更多
A constrained interpolation profile CIP-based numerical tank is developed to simulate violent free surface flows.The numerical simulation is performed by the CIP-based Cartesian grid method,which is described in the p...A constrained interpolation profile CIP-based numerical tank is developed to simulate violent free surface flows.The numerical simulation is performed by the CIP-based Cartesian grid method,which is described in the present paper.The tangent of hyperbola for interface capturing（THINC） scheme is applied for capturing complex free surfaces.The new model is capable of simulating a flow with violently varied free surface.A series of computations are conducted to assess the developed algorithm and its versatility.These tests include the collapse of water column with and without an obstacle,sloshing in a fixed tank,the generation of regular waves in a tank,the generation of extreme waves in a tank.Excellent agreements are obtained when numerical results are compared with available analytical,experimental,and other numerical results.展开更多
入水问题涉及到军事、航空等领域,如子弹入水、船舶砰击等,具有很强的应用背景。物体入水的过程涉及到固、液、气三相流动和相互作用,并伴随水花飞溅、空泡形成等复杂的物理现象。该文基于紧致插值CIP(constrained interpolation profi...入水问题涉及到军事、航空等领域,如子弹入水、船舶砰击等,具有很强的应用背景。物体入水的过程涉及到固、液、气三相流动和相互作用,并伴随水花飞溅、空泡形成等复杂的物理现象。该文基于紧致插值CIP(constrained interpolation profile)数学模型,分步求解Navier-Stokes(N-S)方程,并通过多相流理论描述固-液-气之间的相互作用,采用Volume of Fluid(VOF)类型的高精度紧致tangent of hyperbola for interface capturing(THINC)方法重构自由面。模拟了刚性圆柱和方柱的入水过程,结果与实验数据吻合较好。展开更多
Hydroelastic behavior of an elastic wedge impacting on calm water surface was investigated. A partitioned approach by coupling finite difference method （FDM） and finite element method （FEM） was developed to analyz...Hydroelastic behavior of an elastic wedge impacting on calm water surface was investigated. A partitioned approach by coupling finite difference method （FDM） and finite element method （FEM） was developed to analyze the fluid structure interaction （FSI） problem. The FDM, in which the Constraint Interpolation Profile （CIP） method was applied, was used for solving the flow field in a fixed regular Cartesian grid system. Free surface was captured by the Tangent of Hyperbola for Interface Capturing with Slope Weighting （THINC/SW） scheme. The FEM was applied for calculating the structural deformation. A volume weighted method, which was based on the immersed boundary （IB） method, was adopted for coupling the FDM and the FEM together. An elastic wedge water entry problem was calculated by the coupled FDM-FEM method. Also a comparison between the current numerical results and the published results indicate that the coupled FDM-FEM method has reasonably good accuracy in predicting the impact force.展开更多
基金supported by National Natural Science Foundation of China (NSFC) projects (Grant Nos. 40875065 and 40805045)the research projects 2008R001 at Chinese Academy of Meteorological Sciences (CAMS) and 2008 LASWZI05 at the State Key Laboratory of Severe Weather, CAMS
文摘Semi-implicit algorithms are popularly used to deal with the gravitational term in numerical models. In this paper, we adopt the method of characteristics to compute the solutions for gravity waves on a sphere directly using a semi-Lagrangian advection scheme instead of the semi-implicit method in a shallow water model, to avoid expensive matrix inversions. Adoption of the semi-Lagrangian scheme renders the numerical model always stable for any Courant number, and which saves CPU time. To illustrate the effciency of the characteristic constrained interpolation profile （CIP） method, some numerical results are shown for idealized test cases on a sphere in the Yin-Yang grid system.
基金supported by the Fundamental Research Funds for the Central Universities
文摘A constrained interpolation profile CIP-based numerical tank is developed to simulate violent free surface flows.The numerical simulation is performed by the CIP-based Cartesian grid method,which is described in the present paper.The tangent of hyperbola for interface capturing（THINC） scheme is applied for capturing complex free surfaces.The new model is capable of simulating a flow with violently varied free surface.A series of computations are conducted to assess the developed algorithm and its versatility.These tests include the collapse of water column with and without an obstacle,sloshing in a fixed tank,the generation of regular waves in a tank,the generation of extreme waves in a tank.Excellent agreements are obtained when numerical results are compared with available analytical,experimental,and other numerical results.
文摘入水问题涉及到军事、航空等领域,如子弹入水、船舶砰击等,具有很强的应用背景。物体入水的过程涉及到固、液、气三相流动和相互作用,并伴随水花飞溅、空泡形成等复杂的物理现象。该文基于紧致插值CIP(constrained interpolation profile)数学模型,分步求解Navier-Stokes(N-S)方程,并通过多相流理论描述固-液-气之间的相互作用,采用Volume of Fluid(VOF)类型的高精度紧致tangent of hyperbola for interface capturing(THINC)方法重构自由面。模拟了刚性圆柱和方柱的入水过程,结果与实验数据吻合较好。
基金the support of Grants-in-Aid for Scientific Research (B), MEXT (No.24360358)
文摘Hydroelastic behavior of an elastic wedge impacting on calm water surface was investigated. A partitioned approach by coupling finite difference method （FDM） and finite element method （FEM） was developed to analyze the fluid structure interaction （FSI） problem. The FDM, in which the Constraint Interpolation Profile （CIP） method was applied, was used for solving the flow field in a fixed regular Cartesian grid system. Free surface was captured by the Tangent of Hyperbola for Interface Capturing with Slope Weighting （THINC/SW） scheme. The FEM was applied for calculating the structural deformation. A volume weighted method, which was based on the immersed boundary （IB） method, was adopted for coupling the FDM and the FEM together. An elastic wedge water entry problem was calculated by the coupled FDM-FEM method. Also a comparison between the current numerical results and the published results indicate that the coupled FDM-FEM method has reasonably good accuracy in predicting the impact force.
