An Arbitrary Lagrangian-Eulerian(ALE)approach with interface tracking is developed in this paper to simulate the supersonic parachute inflation.A two-way interaction between a nonlinear finite element method and a fin...An Arbitrary Lagrangian-Eulerian(ALE)approach with interface tracking is developed in this paper to simulate the supersonic parachute inflation.A two-way interaction between a nonlinear finite element method and a finite volume method is accomplished.In order to apply this interface tracking method to problems with instantaneous large deformation and self-contact,a new virtual structure contact method is proposed to leave room for the body-fitted mesh between the contact structural surfaces.In addition,the breakpoint due to the fluid mesh with negative volume is losslessly restarted by the conservative interpolation method.Based on this method,fluid and structural dynamic behaviors of a highly folded disk-gap-band parachute are obtained.Numerical results such as maximum Root Mean Square(RMS)drag,general canopy shape and the smallest canopy projected areas in the terminal descent state are in accordance with the wind tunnel test results.This analysis reveals the inflation law of the disk-gap-band parachute and provides a new numerical method for supersonic parachute design.展开更多
This paper presents high-resolution computations of a two-phase gas-solid mixture using a well-defined mathematical model.The HLL Riemann solver is applied to solve the Riemann problem for the model equations.This sol...This paper presents high-resolution computations of a two-phase gas-solid mixture using a well-defined mathematical model.The HLL Riemann solver is applied to solve the Riemann problem for the model equations.This solution is then employed in the construction of upwind Godunov methods to solve the general initial-boundary value problem for the two-phase gas-solid mixture.Several representative test cases have been carried out and numerical solutions are provided in comparison with existing numerical results.To demonstrate the robustness,effectiveness and capability of these methods,the model results are compared with reference solutions.In addition to that,these results are compared with the results of other simulations carried out for the same set of test cases using other numerical methods available in the literature.The diverse comparisons demonstrate that both the model equations and the numerical methods are clear in mathematical and physical concepts for two-phase fluid flow problems.展开更多
基金co-supported by National Nature Sciences Foundation of China(Nos 11972192,11172137)A Project Funded by the Priority Academic Program Development of Jiangsu Higher Education Institutions(PAPD)。
文摘An Arbitrary Lagrangian-Eulerian(ALE)approach with interface tracking is developed in this paper to simulate the supersonic parachute inflation.A two-way interaction between a nonlinear finite element method and a finite volume method is accomplished.In order to apply this interface tracking method to problems with instantaneous large deformation and self-contact,a new virtual structure contact method is proposed to leave room for the body-fitted mesh between the contact structural surfaces.In addition,the breakpoint due to the fluid mesh with negative volume is losslessly restarted by the conservative interpolation method.Based on this method,fluid and structural dynamic behaviors of a highly folded disk-gap-band parachute are obtained.Numerical results such as maximum Root Mean Square(RMS)drag,general canopy shape and the smallest canopy projected areas in the terminal descent state are in accordance with the wind tunnel test results.This analysis reveals the inflation law of the disk-gap-band parachute and provides a new numerical method for supersonic parachute design.
文摘This paper presents high-resolution computations of a two-phase gas-solid mixture using a well-defined mathematical model.The HLL Riemann solver is applied to solve the Riemann problem for the model equations.This solution is then employed in the construction of upwind Godunov methods to solve the general initial-boundary value problem for the two-phase gas-solid mixture.Several representative test cases have been carried out and numerical solutions are provided in comparison with existing numerical results.To demonstrate the robustness,effectiveness and capability of these methods,the model results are compared with reference solutions.In addition to that,these results are compared with the results of other simulations carried out for the same set of test cases using other numerical methods available in the literature.The diverse comparisons demonstrate that both the model equations and the numerical methods are clear in mathematical and physical concepts for two-phase fluid flow problems.
