Unsteady fluid–solid interaction by a kernel‐based particle method

Abstract

SUMMARYA Lagrangian stabilized particle method is adopted for the simulation of unsteady fluid flow and gas dynamics. The velocity field smoothing technique, which was successfully implemented for reducing zero energy modes and tensile instabilities in solid problems, is used for the stabilization of the fluid phase. In this method a smoothing technique has been applied and the field values in particles are prevented from excessive jumps due to instability. This approach can replace traditional stabilization methods such as the artificial viscosity approach. In this paper, the corrective smoothed particle method has been implemented for solving governing partial differential equations of fluid. Also a modification in basic governing equations is performed on boundary interfaces to conserve mass and energy quantities. The method is implemented and verified in one-and two-dimensional compressible flow problems.

A Stabilized Particle Method for Large Deformation Dynamic Analysis of Structures

“…26 Nevertheless, the authors have successfully adapted the same approach for simulation of shock wave re°ections from solid and moving boundaries. 30,31 It should be emphasized that the types of problems studied in the present study are not inconsistent and therefore, do not essentially su®er from such a drawback.…”

“…They have further extended application of their proposed stabilized method for simulation of shock wave re°ections from solid and moving boundaries. 30,31 This paper continues by a review of SPH and CSPM approximations, and is followed by the basics of large deformation formulations. A comprehensive discussion on the proposed smoothing stabilization technique and its application to the present large deformation CSPM formulation are then followed by a step by step solution algorithm.…”