Homotopic method applied to solving the flow field in a gas centrifuge

International Workshop on Physical and Chemical Processes in Atomic Systems

Zhang, Y.N.^1 ; Zeng, S.^1

Department of Engineering Physics, Tsinghua University, Beijing

100084, China^1

关键词: Equation systems;    Gas centrifuges;    Hybrid difference scheme;    Initial guess;    Iteration process;    Newton iterations;    Numerical experiments;    Self-adaptive steps;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/751/1/012015/pdf
DOI  :  10.1088/1742-6596/751/1/012015

来源: IOP

【 摘 要 】

To investigate the flow field in a hyper-speed gas centrifuge, a hybrid difference scheme is used to discretize the axisymmetric Navier-Stokes equation. Source terms are included to simulate the injection and extraction of gas, also the mechanical drive of the scoops. The nonlinearity is obvious as the drive is strong. A Newton iteration used to solve the equation system becomes sensitive to the initial guess of the solution, which makes it difficult to converge. A homotopic method with self-adaptive steps is adopted to cope with this problem and to accelerate the iteration process. Numerical experiments simulating different strengths of scoop drive prove the effectiveness of the algorithm.