An improved free surface capturing method based on Cartesian cut cell mesh for water-entry and -exit problems

作者：Wang Wenhua; Wang Yanying^*

来源：Proceedings of the Royal Society A-Mathematical Physical and Engineering Sciences, 2009, 465(2106): 1843-1868.

DOI：10.1098/rspa.2008.0410

• free surface capturing method
• Cartesian cut cell mesh
• body-fluid interaction
• acceleration term
• exact Riemann solution
• least-squares idea

The free surface capturing method based on Cartesian cut cell mesh is extended to the water-entry and -exit fields with body fluid interaction. The governing equations are the incompressible Euler equations for a variable density fluid system with a free surface, which is treated as a contact discontinuity. The solver is based on the artificial compressibility method with a dual time-stepping technique for time advancing and the finite- volume method with a high-resolution Godunov-type upwind scheme on spatial discretization. For solving the numerical problem caused by the extension, the acceleration term of body is introduced for the new pressure condition of moving solid boundary, and the exact Riemann solution is used to calculate the flux of the solid boundary. In addition, a new solution of gradients based on the least-squares idea is presented for simply calculating the gradients. Finally, test cases show that the present method is available and can be successfully applied in various water-entry and -exit phenomena.

• 出版日期2009-6-8
• 单位大连理工大学