一种径向基函数虚拟网格法数值模拟复杂边界流动
发布时间：2018-11-25 12:14
【摘要】：提出了一种径向基函数虚拟网格法浸入边界法以模拟复杂或多体浸入边界黏性绕流问题.在该方法中,采用有限差分法离散固定笛卡尔交错网格上的不可压缩Navier-Stokes方程,以分步法结合三阶Runge-Kutta格式进行时间积分,高阶TVDMUSCL(total variation diminishing monotonic upstream-centered scheme forconservation laws)格式离散对流项;一个边界连续的虚拟网格法施加物面边界条件以考虑尖锐边界对流场的影响;引入具多项式基的径向基函数描述和重构任意复杂浸入界面,并识别背景网格属性状态.采用Fortran90语言开发相应的求解器,模拟了绕圆柱、机翼和交错布置圆柱群的黏性绕流问题,验证了本文方法的正确性、可靠性和对复杂边界流动问题的适用性.
[Abstract]:In this paper, a radial basis function virtual mesh method is proposed to simulate the viscous flow around a complex or multi-body immersed boundary. In this method, the incompressible Navier-Stokes equation on the fixed Cartesian staggered grid is discretized by the finite difference method, and the time integral is obtained by the step method combined with the third-order Runge-Kutta scheme. The high order TVDMUSCL (total variation diminishing monotonic upstream-centered scheme forconservation laws) scheme is used to discretize the convection term; A virtual mesh method with continuous boundary is applied to consider the effect of sharp boundary flow field, and the radial basis function with polynomial basis is introduced to describe and reconstruct any complex immersion interface, and the background grid attribute state is recognized. The corresponding solver developed by Fortran90 language is used to simulate the viscous flow around a cylinder, a wing and a staggered group of cylinders. The correctness, reliability and applicability of the proposed method to complex boundary flow problems are verified.
【作者单位】： 武汉理工大学交通学院;
【分类号】：O35
本文编号：2356069
[Abstract]:In this paper, a radial basis function virtual mesh method is proposed to simulate the viscous flow around a complex or multi-body immersed boundary. In this method, the incompressible Navier-Stokes equation on the fixed Cartesian staggered grid is discretized by the finite difference method, and the time integral is obtained by the step method combined with the third-order Runge-Kutta scheme. The high order TVDMUSCL (total variation diminishing monotonic upstream-centered scheme forconservation laws) scheme is used to discretize the convection term; A virtual mesh method with continuous boundary is applied to consider the effect of sharp boundary flow field, and the radial basis function with polynomial basis is introduced to describe and reconstruct any complex immersion interface, and the background grid attribute state is recognized. The corresponding solver developed by Fortran90 language is used to simulate the viscous flow around a cylinder, a wing and a staggered group of cylinders. The correctness, reliability and applicability of the proposed method to complex boundary flow problems are verified.
【作者单位】： 武汉理工大学交通学院;
【分类号】：O35
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