CAJ | 학술논문

与传统网格法相比,光滑粒子流体动力学方法不能直接施加壁面边界条件,这就限制了该方法在工程中的应用.为此,本文基于Galerkin加权余量法并结合传统排斥力方法,推导出一种新的排斥力公式来施加壁面边界条件.该方法不含未知参数,能在不减小边界粒子尺寸的情形下有效地防止流体粒子穿透壁面,同时可避免邻近边界的流体粒子的速度及压力振荡.分别通过静止液柱算例、液柱坍塌算例、容器中液体静止算例及溃坝算例来验证本文方法的有效性,并与传统边界处理方法进行对比,结果表明:本文方法克服了传统方法存在的缺陷,是一种有效的固壁边界处理方法.
여전통망격법상비,광활입자류체동역학방법불능직접시가벽면변계조건,저취한제료해방법재공정중적응용.위차,본문기우Galerkin가권여량법병결합전통배척력방법,추도출일충신적배척력공식래시가벽면변계조건.해방법불함미지삼수,능재불감소변계입자척촌적정형하유효지방지류체입자천투벽면,동시가피면린근변계적류체입자적속도급압력진탕.분별통과정지액주산례、액주담탑산례、용기중액체정지산례급궤패산례래험증본문방법적유효성,병여전통변계처리방법진행대비,결과표명:본문방법극복료전통방법존재적결함,시일충유효적고벽변계처리방법.
Compared with traditional mesh method the smoothed particle hydrodynamics (SPH) is unable to directly implement the solid boundary conditions, which hinders its further application to engineering. Therefore, a new repulsive model is deduced based on the Galerkin method of weighted residuals and traditional repulsive methods. Compared with traditional repulsive models, this model does not include unknown parameters;it can avoid fluid particles penetrating wall surface effectively without reducing the size of boundary particle, and also it avoids the oscillation of fluid particles around the boundary in speed and pressure. The new method is examined and compared with traditional methods using four numerical examples including static dam on a fixed boundary, a dam-break flow on a fixed boundary because of gravity, fluid still gradually in a tank because of gravity, dam-break. It is demonstrated that SPH with this new method overcomes the disadvantages in traditional methods, and that this method is an effective method for solid boundary condition.