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在直角坐标系用NGFM模拟复杂计算域水下高压气泡膨胀问题

DOI: 10.11858/gywlxb.2014.06.009, PP. 699-704

Keywords: 高压气泡膨胀,任意坐标系,复杂计算域,Level,Set方法,Ghost,Fluid方法

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Abstract:

采用NGFM(NewversionofGhostFluidMethod)处理复杂计算域的固壁边界,用RGFM(RealGhostFluidMethod)求解气-水界面附近网格节点的状态参数,从而在直角坐标系下对复杂计算域的水下高压气泡膨胀问题进行数值模拟。流场控制方程选用Euler方程,用五阶WENO格式离散空间导数项,二阶Runge-Kutta法离散时间导数项;气-水界面追踪使用LevelSet方法,对LevelSet方程,用五阶HJ-WENO(Hamilton-JacobiWENO)和三阶Runge-Kutta法求解。将计算结果与任意坐标系下的结果进行对比,验证了NGFM在笛卡尔网格中处理复杂形状固壁边界的可行性。得到了水下流场压力等值线图、高压气泡的演变过程以及特定点处的压力-时间曲线。计算结果表明,高压气泡在固壁反射激波的作用下,膨胀过程受到抑制;强激波在固壁的反射会导致固壁附近出现大范围的空化流动。

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