Research On The Numerical Simulation Of Sloshing Based On CIP Method

Violent sloshing is a strongly nonlinear problem, which may involve phenomena such as breaking waves, high-speed impacts on tank walls, liquid droplet formation and air bubble entrainment, and is of high randomness. In this paper, the state of the art of the study on sloshing with numerical method, especially the application of the CIP method in sloshing simulation is reviewed. Some research about the mechanism of sloshing has been taken based on the foundation, with the self-programming code of Fortran language. The main work and important conclusions of this paper are listed as follows:1) Give an overall review of the principle of CIP method and the application is sloshingSpecify the difference between fractional step method and pressure correction method, choose proper mathematic model to describe the sloshing phenomenon, and describe the fractional solving steps with CIP method.2) The choice of proper numerical model and programmingProgram with Fortran language based on the introduction. Combining the characteristics of the CIP method applied to sloshing phenomenon, staggered grid is adopted to store the information of the fluid field, and an exterior fictitious one-cell layer adjacent to each side of the physical domain is added to allow imposition of discrete boundary condition. Use the Bi-CGSTAB method with preconditioning matrix K to calculate the Poisson equation of pressure precisely and efficiently.3) Simulate the dam-breaking problem to validate the code in the use of large deformation of free surfaceMonitor the deformation of the free surface, and compare the result with computation by Fluent, which certify the capture of the free surface; the comparison between the monitored pressure and experimental data at the solid wall downstream showed that the code is feasible to monitor the variant of the pressure.4) Simulate the sloshing phenomenon with the code based on the validation of the dam-breaking problemCases of different liquid level and sloshing amplitude are simulated. The results show that the intensity of sloshing in the bestir of the non-resonance frequency is smaller than the resonance frequency liquid with both depths, while in high level cases the difference is not obvious; the monitored pressure show that the slamming pressure is much smaller when stationary waves are formed in the tank.