NUMERICAL SOLUTION OF THREE-DIMENSIONAL PROBLEMS OF IMPACT INTERACTION OF ELASTOPLASTIC BODIES IN EULER VARIABLES ON THE BASIS OF MODIFIED GODUNOV SCHEME
M. H. Abuzyarov, E. G. Glazova, A. V. Kochetkov, S. V. Krylov, A. A. Lisitsyn, I. A. Modin
VANT. Ser.: Mat. Mod. Fiz. Proc 2023. Вып.2. С. 16-29.
The numerical method earlier developed by the team of authors for solving three-dimensional coupled problems of the dynamic (high-speed) interaction of deformable bodies and media in Euler variables based on Godunov´s scheme of a higher accuracy is used to solve problems of impact interaction of elastoplastic bodies. An improved accuracy of the scheme is achieved by changing the "predictor" step. A 3D time-dependent solution of the elastic Riemann problem is applied, which provides the second-order approximation in time and space in the region of smooth solutions. Monotonicity in the region of discontinuous solutions is ensured by changing over to the "predictor" step of the first-order scheme. A multigrid approach is used with the three types of computational grids for each body with an explicit Lagrangian selection of moving free and contact surfaces: a Lagrangian surface grid in the form of a continuous set of triangles (STL file), which is used both to set the initial geometry of a liquid and a solid body and to accompany it during the calculation, and two types of 3D volumetric grids. The results of solving test and 3D applied problems with large displacements and deformations are presented and they demonstrate the numerical method potential. The impact and penetration processes are considered, including the deformable impactor penetration through a single-layer and a two-layer elastoplastic barrier. The impactor ricocheting during oblique impact is described. Numerical results demonstrate a good performance of the numerical models and techniques in use. Keywords: numerical simulation, Godunov´s scheme, improved accuracy, multigrid approach, three-dimensional problem, elastoplastic barrier, multilayered structure, deformable impactor, impact, penetration, ricochet.
|
English
